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More questions on this topic: IGCSE Data, Probability & Sets: Time-Series (1)
6 The graph shows information about the average monthly temperature, in °C, in Amman.
| Answer | Mark | Mark scheme |
|---|---|---|
| 6 | B1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| May, October | B1 | cao |
9 The graph shows information about the number of houses sold by an estate agent in each of six months last year.
| Answer | Mark | Mark scheme |
|---|---|---|
| 23 | B1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| 10 : 56 | M1 | for 10 or 56 identified |
| A1 | for 10 : 56 or any other equivalent ratio |
56 : 10 implies this mark only
Accept 1 : 5.6
27 Sean has drawn a time series graph to show the numbers, in thousands, of visitors to a fun park.
Write down two things that are wrong or could be misleading with this graph. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| statement | B2 | Two different statements Acceptable eg should be joined with straight lines (not curve)/should use a ruler 1st (quarter) not shown/plotted/labelled/not all quarters labelled does not show all 4 seasons 9.5 missing from vertical axes/not linear vertical (number) axis does not start at 0/the \(y\) axis starts at 6 the graph does not begin at 0, it starts at 6 it is not clear what 2, 3, 4 on the \(x\)-axis mean the scale of years doesn’t make sense there is lack of clarity about what the numbers on the \(x\) axis represent graph is curved line Not acceptable eg no value plotted for 2 in 2016 it does not start at 0 (no reference to vertical axis)/missing 0 they should not have connected the dots like that the numbers on the \(x\) axis are repeated the numbers along the \(x\) axis 2, 3, 4 the years on the \(x\) axis have not been written properly does not follow a sequence it needs a discontinuity wiggle on the axis no title |
| (B1 | One statement eg from those above.) |
Ignore additional statements provided no contradiction
4 Sean has drawn a time series graph to show the numbers, in thousands, of visitors to a fun park.
Write down two things that are wrong or could be misleading with this graph. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| statement | B2 | Two different statements Acceptable eg should be joined with straight lines (not curve)/should use a ruler 1st (quarter) not shown/plotted/labelled/not all quarters labelled does not show all 4 seasons 9.5 missing from vertical axes/not linear vertical (number) axis does not start at 0/the y axis starts at 6 the graph does not begin at 0, it starts at 6 it is not clear what 2, 3, 4 on the x-axis mean the scale of years doesn’t make sense there is lack of clarity about what the numbers on the x axis represent graph is curved line Not acceptable eg no value plotted for 2 in 2016 it does not start at 0 (no reference to vertical axis)/missing 0 they should not have connected the dots like that the numbers on the x axis are repeated the numbers along the x axis 2, 3, 4 the years on the x axis have not been written properly does not follow a sequence it needs a discontinuity wiggle on the axis no title |
| (B1 | One statement eg from those above.) |
Ignore additional statements provided no contradiction
8 Chrissy drew this graph to show the percentage of buses that got to a bus stop on time for six months.
| Answer | Mark | Notes |
|---|---|---|
| Statement | C1 | States one thing wrong eg vertical scale is not linear oe |
| Answer | Mark | Notes |
|---|---|---|
| Trend described | C1 | eg the trend is upwards, positive (trend) oe |
20 Youssuf posted an advert on his social media channel.
The table shows the number of views of the advert during its first 6 days.
| Day | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Number of views | 49 000 | 95 000 | 87 000 | 77 000 | 64 000 | 48 000 |
Estimate how much he receives from views of the advert on day 7 [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| All six given points plotted correctly and joined with straight lines | B2 | \(\pm\) half square B1 at least four of the given points plotted correctly |
Mark intention for straight lines
Lines can be dashed (do not regard as short lines if intention clear) or continuous
Ignore lines drawn to the left of day 1 and to the right of day 6
The top of the lines in a vertical line graph can imply points plotted correctly (other vertical lines can be ignored)
Ignore horizontal lines
Ignore extra points
Ignore a line of best fit and/or a histogram and/or a bar chart
| Answer | Mark | Comments |
|---|---|---|
| [20 000, 40 000] | B1 | may be implied |
| their [20 000, 40 000] \(\times\) 0.018 (\(\div\) 100) or [360, 720] (\(\div\) 100) | M1 | oe eg their [20 000, 40 000] \(\times\) 0.000 18 1000 \(\lt\) their [20 000, 40 000] \(\lt\) 48 000 condone 0.02 for 0.018 |
| [3.60, 7.20] | A1ft | ft B0M1 answer must be an amount of money |
| Accept an answer in pence only if £ has been crossed out and p(ence) is given | |
| For A1 or A1ft accept answers rounded or truncated to the nearest penny eg \(28\,700 \times 0.018 \div 100\) Answer 5.17 (or 5.16) | B1M1A1 |
| Using 0.02 can score a maximum of B1M1A0 eg1 \(30\,000 \times 0.02 = 600\) Answer 6 eg2 \(46\,000 \times 0.02 = 920\) Answer 9.20 | B1M1A0 B0M1A0 |
| Estimating their final answer can score a maximum of B1M1A0 unless correct answer also seen eg1 \(32\,000 \times 0.018 \div 100\) Answer 5.80 eg2 \(32\,000 \times 0.018 \div 100 = 5.76\) Answer 5.80 | B1M1A0 B1M1A1 |
| \(30\,000 \times 0.018\) Answer 5.4 | B1M1A0 |
| If part (b) is blank, B1 may be awarded for [20 000, 40 000] unambiguously stated for day 7 in part (a) |
3 Youssuf posted an advert on his social media channel.
The table shows the number of views of the advert during its first 6 days.
| Day | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Number of views | 49 000 | 95 000 | 87 000 | 77 000 | 64 000 | 48 000 |
Estimate how much he receives from views of the advert on day 7 [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| All six given points plotted correctly and joined with straight lines | B2 | \(\pm\) half square B1 at least four of the given points plotted correctly |
Mark intention for straight lines
Lines can be dashed (do not regard as short lines if intention clear) or continuous
Ignore lines drawn to the left of day 1 and to the right of day 6
The top of the lines in a vertical line graph can imply points plotted correctly (other vertical lines can be ignored)
Ignore horizontal lines
Ignore extra points
Ignore a line of best fit and/or a histogram and/or a bar chart
| Answer | Mark | Comments |
|---|---|---|
| [20 000, 40 000] | B1 | may be implied |
| their [20 000, 40 000] \(\times\) 0.018 (\(\div\) 100) or [360, 720] (\(\div\) 100) | M1 | oe eg their [20 000, 40 000] \(\times\) 0.000 18 1000 \(\lt\) their [20 000, 40 000] \(\lt\) 48 000 condone 0.02 for 0.018 |
| [3.60, 7.20] | A1ft | ft B0M1 answer must be an amount of money |
| Accept an answer in pence only if £ has been crossed out and p(ence) is given | |
| For A1 or A1ft accept answers rounded or truncated to the nearest penny eg \(28\,700 \times 0.018 \div 100\) Answer 5.17 (or 5.16) | B1M1A1 |
| Using 0.02 can score a maximum of B1M1A0 eg1 \(30\,000 \times 0.02 = 600\) Answer 6 eg2 \(46\,000 \times 0.02 = 920\) Answer 9.20 | B1M1A0 B0M1A0 |
| Estimating their final answer can score a maximum of B1M1A0 unless correct answer also seen eg1 \(32\,000 \times 0.018 \div 100\) Answer 5.80 eg2 \(32\,000 \times 0.018 \div 100 = 5.76\) Answer 5.80 | B1M1A0 B1M1A1 |
| \(30\,000 \times 0.018\) Answer 5.4 | B1M1A0 |
| If part (b) is blank, B1 may be awarded for [20 000, 40 000] unambiguously stated for day 7 in part (a) |
19 The table shows information about the number of houses with solar panels in a town.
| Year | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 |
|---|---|---|---|---|---|---|
| Number of houses | 50 | 65 | 115 | 210 | 275 | 350 |
| Answer | Mark | Comments |
|---|---|---|
| Plots at least 2 points correctly | M1 | \(\pm\dfrac{1}{2}\) square |
| Fully correct with all points joined by single straight lines | A1 | \(\pm\dfrac{1}{2}\) square |
| Mark intention | |
| Ignore other points plotted and any lines of best fit | |
| Points may be implied by the position of the line | |
 | M1A1 |
| Answer | Mark | Comments |
|---|---|---|
| [360, 500] | B1 |
| An interval given entirely in range eg 425 – 440 | B1 |
| An interval given not entirely in range eg 340 – 430 | B0 |
2 The table shows information about the number of houses with solar panels in a town.
| Year | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 |
|---|---|---|---|---|---|---|
| Number of houses | 50 | 65 | 115 | 210 | 275 | 350 |
| Answer | Mark | Comments |
|---|---|---|
| Plots at least 2 points correctly | M1 | \(\pm\dfrac{1}{2}\) square |
| Fully correct with all points joined by single straight lines | A1 | \(\pm\dfrac{1}{2}\) square |
| Mark intention | |
| Ignore other points plotted and any lines of best fit | |
| Points may be implied by the position of the line | |
 | M1A1 |
| Answer | Mark | Comments |
|---|---|---|
| [360, 500] | B1 |
| An interval given entirely in range eg 425 – 440 | B1 |
| An interval given not entirely in range eg 340 – 430 | B0 |
21 The table shows the number of workers at a company in different years.
| Year | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 |
|---|---|---|---|---|---|---|---|---|
| Number of workers | 29 | 34 | 42 | 52 | 62 | 70 | 76 | 80 |
A time-series graph is drawn to represent the data.
The first four points have been plotted.
| Answer | Mark | Comments |
|---|---|---|
| At least 3 points correctly plotted | M1 | \(\pm \dfrac{1}{2}\) square |
| All 4 points correctly plotted and joined with straight lines | A1 | \(\pm \dfrac{1}{2}\) square lines may be dashed |
Mark intention for straight lines
Condone one continuous, smooth curve
Ignore the graph before 2015 and after 2022
Ignore a line of best fit
| Answer | Mark | Comments |
|---|---|---|
| [82, 90] | B1 |
| Answer in range with or without working, with no graph or incorrect graph | B1 |
6 The table shows the number of workers at a company in different years.
| Year | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 |
|---|---|---|---|---|---|---|---|---|
| Number of workers | 29 | 34 | 42 | 52 | 62 | 70 | 76 | 80 |
A time-series graph is drawn to represent the data.
The first four points have been plotted.
| Answer | Mark | Comments |
|---|---|---|
| At least 3 points correctly plotted | M1 | \(\pm\dfrac{1}{2}\) square |
| All 4 points correctly plotted and joined with straight lines | A1 | \(\pm\dfrac{1}{2}\) square lines may be dashed |
Mark intention for straight lines
Condone one continuous, smooth curve
Ignore the graph before 2015 and after 2022
Ignore a line of best fit
| Answer | Mark | Comments |
|---|---|---|
| [82, 90] | B1 |
| Answer in range with or without working, with no graph or incorrect graph | B1 |
23 The time students spent watching TV was recorded.
The table shows the average daily time per student each year from 2012 to 2019
| Year | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 |
|---|---|---|---|---|---|---|---|---|
| Time (minutes) | 157 | 148 | 138 | 124 | 113 | 100 | 90 | 82 |
A time series graph is drawn to represent the data.
The first four points have been plotted.
| Answer | Mark | Comments |
|---|---|---|
| Plots at least 3 points correctly | M1 | \(\pm\dfrac{1}{2}\) square |
| All four points correctly plotted and joined | A1 | \(\pm\dfrac{1}{2}\) square ignore working for part (b) |
\(\pm\dfrac{1}{2}\) square means half a small square horizontally and vertically
If a point is within tolerance the line must be within \(\pm\dfrac{1}{2}\) square of their point
Mark intention for joining point to point
| Answer | Mark | Comments |
|---|---|---|
| [70, 78] | B1 |
| Answer in range with or without working, with no graph or incorrect graph | B1 |
| 70.5 – 75 on answer line (both values in range) | B1 |
5 The time students spent watching TV was recorded.
The table shows the average daily time per student each year from 2012 to 2019
| Year | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 |
|---|---|---|---|---|---|---|---|---|
| Time (minutes) | 157 | 148 | 138 | 124 | 113 | 100 | 90 | 82 |
A time series graph is drawn to represent the data.
The first four points have been plotted.
| Answer | Mark | Comments |
|---|---|---|
| Plots at least 3 points correctly | M1 | \(\pm\dfrac{1}{2}\) square |
| All four points correctly plotted and joined | A1 | \(\pm\dfrac{1}{2}\) square ignore working for part (b) |
\(\pm\dfrac{1}{2}\) square means half a small square horizontally and vertically
If a point is within tolerance the line must be within \(\pm\dfrac{1}{2}\) square of their point
Mark intention for joining point to point
| Answer | Mark | Comments |
|---|---|---|
| [70, 78] | B1 |
| Answer in range with or without working, with no graph or incorrect graph | B1 |
| 70.5 – 75 on answer line (both values in range) | B1 |
24 A music festival has taken place each year from 2011
The table shows the number of people who attended each year.
| Year | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 |
|---|---|---|---|---|---|---|---|---|
| Number of people | 350 | 583 | 906 | 1471 | 2023 | 2612 | 3251 | 3780 |
The festival organisers draw a time series graph to represent the data.
The first four years have been plotted.
| Answer | Mark | Comments |
|---|---|---|
| Plots at least 3 points correctly | M1 | Plots within the correct 2 mm vertical square |
| Fully correct with all points joined | A1 |
| Answer | Mark | Comments |
|---|---|---|
| [4200, 4500] | B2 | B1 Any indication the 2018 figure is being increased for 2019 eg a point plotted for 2019 that is greater than 3780 |
| Answer in range with or without working | B2 |
| 4300 – 4350 on answer line (both values in range) | B2 |
| 4400 – 4600 on answer line (one value in range) | B1 |
| Answer outside of range but between 3780 and 4200 | B1 |
| Answer outside of range but greater than 4500 | B1 |
6 A music festival has taken place each year from 2011
The table shows the number of people who attended each year.
| Year | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 |
|---|---|---|---|---|---|---|---|---|
| Number of people | 350 | 583 | 906 | 1471 | 2023 | 2612 | 3251 | 3780 |
The festival organisers draw a time series graph to represent the data.
The first four years have been plotted.
| Answer | Mark | Comments |
|---|---|---|
| Plots at least 3 points correctly | M1 | Plots within the correct 2 mm vertical square |
| Fully correct with all points joined | A1 |
| Answer | Mark | Comments |
|---|---|---|
| [4200, 4500] | B2 | B1 Any indication the 2018 figure is being increased for 2019 eg a point plotted for 2019 that is greater than 3780 |
| Answer in range with or without working | B2 |
| 4300 – 4350 on answer line (both values in range) | B2 |
| 4400 – 4600 on answer line (one value in range) | B1 |
| Answer outside of range but between 3780 and 4200 | B1 |
| Answer outside of range but greater than 4500 | B1 |
14 Chris sells lawnmowers.
The table shows the number he sold each quarter for three years.
| Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 | |
|---|---|---|---|---|
| 2016 | 17 | 64 | 50 | 5 |
| 2015 | 9 | 72 | 61 | 1 |
| 2014 | 19 | 58 | 53 | 2 |
You must show your working. [2 marks]
At the start of which quarter should Chris stock the most lawnmowers?
Circle your answer. [1 mark]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1 | ||
| Two of the three totals correct (2016 =) 136 (2015 =) 143 (2014 =) 132 or 17 + 64 + 50 + 5 and 9 + 72 + 61 + 1 and 19 + 58 + 53 + 2 | M1 | Totals may be seen by table Correct totals may be implied by means (2016 \(\rightarrow\) 34, 2015 \(\rightarrow\) 35.75, 2014 \(\rightarrow\) 33) Addition signs must be shown for horizontal addition but may be implied by a column of numbers in their working |
| 136 and 143 and 132 and 2015 or 34 and 35.75 and 33 and 2015 | A1 | Totals may be seen by table |
| Alternative method 2 | ||
| 8 and –8 and –11 and 4 or –7 and –10 and 14 and 8 and –1 or 11 | M1 | Difference between 2016 and 2015 Difference between 2015 and 2014 Differences may be seen in table |
| –7 and 11 and 2015 | A1 | Differences may be seen in table |
| Differences may have consistently opposite signs for either comparison | |
| Ignore totals for quarters shown | |
| Allow Year 2 for 2015 | |
| 136 and 143 and 132, answer 143 | M1A0 |
| 136 and 143 and 132, answer 143 in 2015 | M1A1 |
| Answer | Mark | Comments |
|---|---|---|
| Quarter 2 | B1 |
19 The graph shows a household’s average daily electricity usage, in kilowatt hours (kWh).
Give two different reasons why this graph is misleading. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Two from: • Horizontal scale uneven • No vertical scale • Vertical scale does not start at 0 | 2 | B1 for each | See Appendix Mark the best part of a statement if no contradiction If more than two reasons (often two in one statement), mark the worst two |
Appendix Question 19
| Reason | Mark | Reason |
|---|---|---|
| It doesn’t have months for each year. Only a few for 2023 | 1 | |
| There are no numbers on the y axis | 1 | |
| As it doesn’t have all the numbers going up the side of electricity | 1 | |
| The dates keep skipping from years to months and back again | 1 | |
| It has months instead of years for 2023 | 1 | |
| Some years have months labelled | 1 | Implies others do not |
| The x axis dates are uneven distances apart | 1 | Condone x-axis |
| x-axis goes up by different amounts | 1 | BOD recognising uneven scale |
| The y-axis doesn’t have any data | 1 | BOD means not having any numbers |
| 2023 has four sections but the other years only have one | 1 | Recognises inconsistent scale |
| The y axis doesn’t start from 0 | 1 | Condone reference to y axis |
| 8 kWh is very far away from 10 kWh making it look like a big difference where in reality it isn’t | 1 | BOD implies “because vertical scale does not start at 0” |
| The scale of kWh has a large space between 8 and 10 | 1 | BOD implies “because vertical scale does not start at 0” |
| More results for 2023 | 1 | Correct because it shows the monthly figures |
| It misses out a couple of months | 0 | Could be referring to [Jan] Feb, Mar, [April] |
| The graphs is in months | 0 | Wrong as the graph also has years. Statement doesn’t recognise the uneven scale. |
| The axis doesn’t start from 0 | 0 | y axis not referenced |
| On the x axis, there’s a fluctuation/jagged line on the line | 0 | |
| Doesn’t show the numbers | 0 | Vertical axis not referenced |
| The y-axis isn’t labelled | 0 | It is labelled but does not have a scale |
| The graph is on a small scale/ It’s not drawn to scale | 0 | Do not accept reference to “drawn to scale” |
2 The graph shows a household’s average daily electricity usage, in kilowatt hours (kWh).
Give two different reasons why this graph is misleading. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Two from: • Horizontal scale uneven • No vertical scale • Vertical scale does not start at 0 | 2 | B1 for each | See Appendix Mark the best part of a statement if no contradiction If more than two reasons (often two in one statement), mark the worst two |
| Reason | Mark | Reason |
|---|---|---|
| It doesn’t have months for each year. Only a few for 2023 | 1 | |
| There are no numbers on the y axis | 1 | |
| As it doesn’t have all the numbers going up the side of electricity | 1 | |
| The dates keep skipping from years to months and back again | 1 | |
| It has months instead of years for 2023 | 1 | |
| Some years have months labelled | 1 | Implies others do not |
| The x axis dates are uneven distances apart | 1 | Condone x-axis |
| x-axis goes up by different amounts | 1 | BOD recognising uneven scale |
| The y-axis doesn’t have any data | 1 | BOD means not having any numbers |
| 2023 has four sections but the other years only have one | 1 | Recognises inconsistent scale |
| The y axis doesn’t start from 0 | 1 | Condone reference to y axis |
| 8 kwh is very far away from 10 kwh making it look like a big difference where in reality it isn’t | 1 | BOD implies “because vertical scale does not start at 0” |
| The scale of kwh has a large space between 8 and 10 | 1 | BOD implies “because vertical scale does not start at 0” |
| More results for 2023 | 1 | Correct because it shows the monthly figures |
| It misses out a couple of months | 0 | Could be referring to [Jan] Feb, Mar, [April] |
| The graphs is in months | 0 | Wrong as the graph also has years. Statement doesn't recognise the uneven scale |
| The axis doesn’t start from 0 | 0 | y axis not referenced |
| On the x axis, there’s a fluctuation/jagged line on the line | 0 | |
| Doesn’t show the numbers | 0 | Vertical axis not referenced |
| The y-axis isn’t labelled | 0 | It is labelled but does not have a scale |
| The graph is on a small scale/ It’s not drawn to scale | 0 | Do not accept reference to “drawn to scale” |
21 The graph shows the value of sunscreen products sold in a shop for each quarter from quarter 1 of 2021 to quarter 4 of 2023.
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Repeating pattern | 1 | Accept any correct pattern that repeats annually Accept reference to seasons for Qs e.g. Lower in q2 than q1 or Highest in q3 or Lowest in q2 etc or Sales in q1 or 2 or 4 rise each year Do not accept “Low sales in 2023” etc | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 2023 and [Q3 is] lower than in the other years oe | 1 | Accept summer or “it” etc for Q3 Condone [Year] 3 for [Year] 2023 Examples It didn’t increase as much as other years They had the least amount of sales. Sales rose but not as much as other years It is lower The sales are lower/est [in 2023] The graph shows less sales of products (BOD) | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| The trend/pattern will continue oe | 1 | Do not accept references to the weather Do not accept “Sales stay the same” Accept e.g. Sales will increase The pattern stays the same | |
14 A sales representative and a manager discuss this graph of sales over the last year.
I can tell from the graph that, over the last year, sales have risen every month.
Is the sales representative correct?
Give a reason for your answer. [1]
I can tell from the graph that sales are now more than double what they were at the start of the year.
Is the manager correct?
Give a reason for your answer. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| No with the graph is not rising month on month as they are flat in June and/or dip in July oe | 1 | Allow for comment on either the flat or dip in the graph e.g. sales fell between July and August Do not accept incorrect statements See Appendix 1 | |
Appendix 1 Q14a
Accept reasons that refer to being flat in one month [June or June to July or July] or dip in another month [July or July to August or August]. If the month is mentioned then it must be correct – any of the bracketed months
| Response | Mark | |
|---|---|---|
| 1 | No, the sales remained flat in July | 1 |
| 2 | No, the sales did not grow/stayed the same in June and July | 1 |
| 3 | No, the sales dipped in August | 1 |
| 4 | No, there was a decrease in July | 1 |
| 5 | No, there were two months where sales did not grow | 1 |
| 6 | No, sales went down from July to August | 1 |
| 7 | No, in July there is a dip in the graph | 1 |
| 8 | No, in June and July the sales were the same | 1 |
| 9 | Wrong, July the sales dropped | 1 |
| 10 | No, the sales increased then stopped and decreased then it increased. (Describes shape and does not refer to wrong months) | 1 |
| 11 | No, in August it drops down then goes back up | 1 |
| 12 | No from June to August the sales dropped (No as part of the statement is incorrect) | 0 |
| 13 | No, the sales went down at July and only started to rise again middle of August. (Incorrect statement) | 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| No with no vertical scale numbering so cannot see if sales have doubled oe | 1 | Accept: No with no values/data/figures/numbers/%s shown [on sales axis] See Appendix 2 | |
Appendix 2 Q14b
| Response | Mark | |
|---|---|---|
| 1 | No, the scale may not start from 0. (Implies no figures on sales axis) | 1 |
| 2 | No, because on the graph no numbers we can’t know exactly. | 1 |
| 3 | No, on the graph it’s doesn’t show the % of sales to check if it double. | 1 |
| 4 | No, it doesn’t show what it is measured at. (Does not mention numbers/figures/values etc) | 0 |
| 5 | No, sales have tripled not doubled. There three times more sales. | 0 |
| 6 | No, slightly more than double. | 0 |
| 7 | No, at the end of the year it is only 3 more squares, it would have to be 4 to be double. | 0 |
4 A sales representative and a manager discuss this graph of sales over the last year.
| I can tell from the graph that, over the last year, sales have risen every month. |
Is the sales representative correct?
Give a reason for your answer. [1]
| I can tell from the graph that sales are now more than double what they were at the start of the year. |
Is the manager correct?
Give a reason for your answer. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| No with the graph is not rising month on month as they are flat in June and/or dip in July oe | 1 | Allow for comment on either the flat or dip in the graph e.g. sales fell between July and August Do not accept incorrect statements See Appendix 1 | |
Accept reasons that refer to being flat in one month [June or June to July or July] or dip in another month [July or July to August or August]. If the month is mentioned then it must be correct, accept any of the bracketed months
| Response | Mark | |
|---|---|---|
| 1 | No, the sales remained flat in July | 1 |
| 2 | No, the sales did not grow/stayed the same in June and July | 1 |
| 3 | No, the sales dipped in August | 1 |
| 4 | No, there was a decrease in July | 1 |
| 5 | No, there were two months where sales did not grow | 1 |
| 6 | No, sales went down from July to August | 1 |
| 7 | No, in July there is a dip in the graph | 1 |
| 8 | No, in June and July the sales were the same | 1 |
| 9 | Wrong, July the sales dropped | 1 |
| 10 | No, the sales increased then stopped and decreased then it increased. (Describes shape and does not refer to wrong months) | 1 |
| 11 | No, in August it drops down then goes back up | 1 |
| 12 | No from June to August the sales dropped (No as part of the statement is incorrect) | 0 |
| 13 | No, the sales went down at July and only started to rise again middle of August. (Incorrect statement) | 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| No with no vertical scale numbering so cannot see if sales have doubled oe | 1 | Accept: No with no values/data/figures/numbers/%s shown [on sales axis] See Appendix 2 | |
| Response | Mark | |
|---|---|---|
| 1 | No, the scale may not start from 0. (Implies no figures on sales axis) | 1 |
| 2 | No, because on the graph no numbers we can’t know exactly. | 1 |
| 3 | No, on the graph it’s doesn’t show the % of sales to check if it double. | 1 |
| 4 | No, it doesn’t show what it is measured at. (Does not mention numbers/figures/values etc) | 0 |
| 5 | No, sales have tripled not doubled. There three times more sales. | 0 |
| 6 | No, slightly more than double. | 0 |
| 7 | No, at the end of the year it is only 3 more squares, it would have to be 4 to be double. | 0 |
21 The graph shows information about the population of a village.
Plot this point on the graph. [1]
Describe how Rowan may have been misled by the graph. [1]
Write down an assumption Blake has made. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Point correctly plotted | 1 | Accuracy \(\pm\) ½ small square radially, use overlay as a guide | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 320 | 2 | B1 for answer figs 32 or for 4160 or 4480 | Don’t accept percentages. |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Only part of vertical scale is shown oe | 1 | e.g. Because the population axis starts at 4000, 4.0 [thousand] Vertical axis does not start at 0 She may have just looked at the steepness of the graph and not the scale of the graph/numbers Accept it only goes up by 540 See AG Any incorrect statements/incorrect specific values scores zero | |
Appendix Q21c
| Response | Mark | |
|---|---|---|
| 1 | It/the graph/ [y] axis/the population/the scale does not start at zero | 1 |
| 2 | Hasn’t realised the population is only going up by 100 each time, so it isn’t a huge increase (BOD implied axis and info on scale provided – huge increase implies steepness) | 1 |
| 3 | It has only gone up by 540 [people] (accept reference to the value of the increase if value is correct) | 1 |
| 4 | The graph has gone up by a lot but it is only around 500 (accept reasonable approximation of increase with steepness implied) | 1 |
| 5 | The line on the graphs varied significantly but the value changed by only 600 (value is incorrect and no ref to steepness) | 0 |
| 6 | Each big tile is on the graph shows 100 people (not enough – need to refer to graph not starting as zero or steepness) | 0 |
| 7 | The steepness on the graph makes him think it has gone up a lot but the graph is going up in 1000s (1000s is incorrect we would accept 100s or 0.1s) | 0 |
| 8 | The y axis is too small so it makes it look like there has been a huge increase ( lacks detail about scale on y axis) | 0 |
| 9 | The scale makes it look like it has gone up a lot when it really only a little (not enough – needs to ref steepness and scale) | 0 |
| 10 | He used the steepness of the line to judge the increase ( needs detail about scale) | 0 |
| 11 | The continuing rising of the graph population and not reading the numbers properly (not enough – steepness and scale needed) | 0 |
| 12 | Rowan didn’t read the graph correct. 2015=4100, 2020=4630. Not a huge increase (Error with one value 4630 – otherwise we would accept with accurate values also) | 0 |
| 13 | May have been misled by not reading the graph properly as it only went up by 640 (specific value given which is incorrect) | 0 |
| 14 | By not looking at the figures and going by the plots rising. (implies steepness but too vague with vertical scale) | 0 |
| 15 | Because of how much the line is rising may seem there is a rapid increase. ( no ref to scale) | 0 |
| 16 | He may think it goes up by thousands, but there has been less than a thousand people | 0 |
| 17 | By just looking at the plots on the graph and not looking at the actual numbers (right idea but need to ref steepness and scale) | 0 |
| 18 | As the graph is only going up 100 between each box yet he sees it large by the depth (not enough - if steepness rather than depth then fine) | 0 |
| 19 | Just because the line gets higher doesn't mean its a huge increase (need to ref scale) | 0 |
| 20 | Because the line increased by a lot, but the numbers didn't (not enough – need more detail about the scale) | 0 |
| 21 | May have been misled by the sharp diagonal line on the graph (no detail on scale) | 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Increasing trend continues oe | 1 | e.g. The population growth will continue the same as in previous years People will not leave the village and the increase continues If a number is given with the increase then it should be at least 60 See AG Any incorrect specific value(s) scores zero | |
Appendix Q21d
| Response | Mark | |
|---|---|---|
| 1 | The population will increase at the same/constant rate | 1 |
| 2 | The population will continue to increase | 1 |
| 3 | The population will increase by [more than] a thousand/600/60 | 1 |
| 4 | The population will keep growing by birth or migration | 1 |
| 5 | The population will increase by 60, the population increases by more than 60 | 1 |
| 6 | The graph will follow the same trend | 1 |
| 7 | That the population will carry on rising like the past years | 1 |
| 8 | he has estimated this through the constant population increase (trend is implied, ignore constant) | 1 |
| 9 | The graph will continue growing in the same way and shape as it was this morning (Fine describes trend – ignore ref to morning) | 1 |
| 10 | because of how the previous years were going he thinks it will stay in that pattern (BOD stay in that pattern for trend) | 1 |
| 11 | the birth rate will stay the same (not enough to imply population will increase – deaths etc?) | 0 |
| 12 | 2022 will be greater than 4800 if 2021 is a population of 4740 (not enough as repeats what is in the question) | 0 |
| 13 | Blake may not be right as the population was increasing (does not describe the assumption) | 0 |
6 The graph shows information about the population of a village.
Describe how Rowan may have been misled by the graph. [1]
Write down an assumption Blake has made. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Point correctly plotted | 1 | Accuracy ± ½ small square radially, use overlay as a guide | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 320 | 2 | B1 for answer figs 32 or for 4160 or 4480 | Don’t accept percentages |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Only part of vertical scale is shown oe | 1 | e.g. Because the population axis starts at 4000, 4.0 [thousand] Vertical axis does not start at 0 She may have just looked at the steepness of the graph and not the scale of the graph/numbers Accept it only goes up by 540 See AG Any incorrect statements/incorrect specific values scores zero | |
| Response | Mark | |
|---|---|---|
| 1 | It/the graph/ [y] axis/the population/the scale does not start at zero | 1 |
| 2 | Hasn’t realised the population is only going up by 100 each time, so it isn’t a huge increase (BOD implied axis and info on scale provided – huge increase implies steepness) | 1 |
| 3 | It has only gone up by 540 [people] (accept reference to the value of the increase if value is correct) | 1 |
| 4 | The graph has gone up by a lot but it is only around 500 (accept reasonable approximation of increase with steepness implied) | 1 |
| 5 | The line on the graphs varied significantly but the value changed by only 600 (value is incorrect and no ref to steepness) | 0 |
| 6 | Each big tile is on the graph shows 100 people (not enough – need to refer to graph not starting as zero or steepness) | 0 |
| 7 | The steepness on the graph makes him think it has gone up a lot but the graph is going up in 1000s (1000s is incorrect we would accept 100s or 0.1s) | 0 |
| 8 | The y axis is too small so it makes it look like there has been a huge increase (lacks detail about scale on y axis) | 0 |
| 9 | The scale makes it look like it has gone up a lot when it really only a little (not enough – needs to ref steepness and scale) | 0 |
| 10 | He used the steepness of the line to judge the increase (needs detail about scale) | 0 |
| 11 | The continuing rising of the graph population and not reading the numbers properly (not enough – steepness and scale needed) | 0 |
| 12 | Rowan didn’t read the graph correct. 2015=4100, 2020=4630. Not a huge increase (Error with one value 4630 – otherwise we would accept with accurate values also) | 0 |
| 13 | May have been misled by not reading the graph properly as it only went up by 640 (specific value given which is incorrect) | 0 |
| 14 | By not looking at the figures and going by the plots rising. (implies steepness but too vague with vertical scale) | 0 |
| 15 | Because of how much the line is rising may seem there is a rapid increase. (no ref to scale) | 0 |
| 16 | He may think it goes up by thousands, but there has been less than a thousand people | 0 |
| 17 | By just looking at the plots on the graph and not looking at the actual numbers (right idea but need to ref steepness and scale) | 0 |
| 18 | As the graph is only going up 100 between each box yet he sees it large by the depth (not enough - if steepness rather than depth then fine) | 0 |
| 19 | Just because the line gets higher doesn't mean its a huge increase (need to ref scale) | 0 |
| 20 | Because the line increased by a lot, but the numbers didn't (not enough – need more detail about the scale) | 0 |
| 21 | May have been misled by the sharp diagonal line on the graph (no detail on scale) | 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Increasing trend continues oe | 1 | e.g. The population growth will continue the same as in previous years People will not leave the village and the increase continues If a number is given with the increase then it should be at least 60 See AG Any incorrect specific values scores zero | |
| Response | Mark | |
|---|---|---|
| 1 | The population will increase at the same/constant rate | 1 |
| 2 | The population will continue to increase | 1 |
| 3 | The population will increase by [more than] a thousand/600/60 | 1 |
| 4 | The population will keep growing by birth or migration | 1 |
| 5 | The population will increase by 60/ the population increases by more than 60 | 1 |
| 6 | The graph will follow the same trend | 1 |
| 7 | That the population will carry on rising like the past years | 1 |
| 8 | He has estimated this through the constant population increase (trend is implied, ignore constant) | 1 |
| 9 | The graph will continue growing in the same way and shape as it was this morning (Fine describes trend – ignore ref to morning) | 1 |
| 10 | Because of how the previous years were going he thinks it will stay in that pattern (BOD stay in that pattern for trend) | 1 |
| 11 | The birth rate will stay the same (not enough to imply population will increase – deaths etc?) | 0 |
| 12 | 2022 will be greater than 4800 if 2021 is a population of 4740 (not enough as repeats what is in the question) | 0 |
| 13 | Blake may not be right as the population was increasing (does not describe the assumption) | 0 |
1 Two pupils are given data that shows the estimated number of computer tablet users worldwide from 2014 to 2018.
Write down two reasons why Li’s pie chart is not suitable to represent the data. [2]
Work out the percentage increase in the number of computer tablet users from 2014 to 2018. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Two correct different observations from these three categories No values shown e.g. Pie chart only shows proportions not totals 3D aspect e.g. 3D distorts perspective oe Colours/key unclear e.g. The colour/key are too similar oe | 2 | B1 for one correct observation | e.g. We have no total/numbers/figures/frequency e.g. It’s tilted, slanted, seen from an angle etc Where more than two reasons are given, mark the best unless contradicted e.g. ignore all references to missing angles Do not allow 2 marks for two reasons that refer to the same category Two reasons may appear in the same statement e.g. Its slanted and it does not show the total number [gets 2 marks] See Appendix |
| Mark | ||
|---|---|---|
| Comments about no numbers | ||
| 1 | There are no numbers/figures/scale [to indicate total or numbers in sector] | 1 |
| 2 | You don’t know what its out of. You need to total [frequency] | 1 |
| 3 | Its difficult to tell the size of each fraction of the pie chart and we need the total (we need the total gets the mark) | 1 |
| 4 | We need to know the angle sizes and what its out of (and what its out of gets the mark provided they don’t say its out of 360) | 1 |
| 5 | Pie charts show proportions/fractions/%’s but do not show quantities | 1 |
| Comments about 3D aspect | ||
| 6 | She is viewing the chart from the side not the front | 1 |
| 7 | Its 3D | 1 |
| 8 | It is hard to see the fractions/proportions | 1 |
| 9 | The sections at the front look larger than those at the back | 1 |
| 10 | Its slanted so its hard to measure the angles (Its slanted gets the mark) | 1 |
| 11 | Not able to measure angles owing to the positioning of the pie chart (gets it for the underlined part) | 1 |
| Comments about key/colours | ||
| 12 | Segments are not clearly labelled (ref to colour reason) | 1 |
| 13 | The colours look the same. Some of the years are the same colour. | 1 |
| 14 | The parts need to be clearly labelled BOD related to colour | 1 |
| 15 | The colours are confusing | |
| 16 | It does not tell us the size of each sector (size does not imply number – could be angles) | 0 |
| 17 | Pie charts are for discrete data only | 0 |
| 18 | It might not be accurate | 0 |
| 19 | We need to know the angle sizes | 0 |
| 20 | There are better ways to present the data | 0 |
| 21 | It doesn’t have any labels (Not true – there are labels but not very clear) | 0 |
| 22 | It is an estimated number of users | 0 |
| 23 | The data is not in percentages. | 0 |
| 24 | The sectors have no angles/percentages/fractions | 0 |
| 25 | The sections are similar in size making it unclear | 0 |
| 26 | Not exact figures/data lost | 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 75 | 4 | B1 for 0.8 and 1.4 or 3 [rows] and 4 [rows] oe | Accept work in billions for B and M marks i.e 800 000 000 and 1 400 000 000 |
| AND M2 for \(\dfrac{\textit{their } 1.4 - \textit{their } 0.8}{\textit{their } 0.8}\) or \(\dfrac{\textit{their } 1.4 - \textit{their } 0.8}{\textit{their } 0.8} \times 100\) or for \(\dfrac{\textit{their } 1.4}{\textit{their } 0.8} \times 100\) [ –100] oe | M2 soi by 0.75 or 175 | ||
| or M1 for \(\dfrac{\textit{their } 1.4}{\textit{their } 0.8}\) | M1 soi by 1.75 | ||
9 The graph shows the number of umbrellas sold in Ling’s shop for each quarter from quarter 1 of 2017 to quarter 3 of 2019.
Complete the graph. [1]
What assumption has she made? [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Point accurately plotted and line drawn | 1 | for the ‘4’ mark intent and 32 must lie between 30 and 35 and not on the lines, condone solid/dotty line | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Correct comment e.g. it peaks in Q1 or the lowest is in Q3 | 1 | Condone winter/spring for Q1 and summer/autumn for Q3 and in (b)(c)(d) mark best comment unless contradictory | |
| Response | Mark |
|---|---|
| Number sold in the Q1 is the highest | 1 |
| Number sold in the Q3 is the lowest | 1 |
| Sales decreased after Q1 and increased after Q3 | 1 |
| Goes down then goes up | 0 |
| Sales decreased during Q1 and increased during Q3 | 0 |
| Sales increase in Q1 each year | 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Correct comment e.g. there is a slight rise in sales year on year | 1 | ||
| Response | Mark |
|---|---|
| Slight rise year to year | 1 |
| As years went on more umbrellas are sold | 1 |
| More sold in 2019 than in recent/previous years | 1 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| The trend in her sales will continue [at a similar rate] oe | 1 | Accept any correct relevant comment referring to general trend or quarter 1 trend isw extra statements | |
| Response | Mark |
|---|---|
| The trend year to year will continue | 1 |
| The shop remains in business | 1 BOD |
| Q1 increases by the same amount each year | 1 |
| Graph will follow the same pattern | 1 |
| More are sold in the first quarter | 0 |
| It will rain more in 2020 | 0 |
19
Vlad says
The probability of the spinner landing on black is \(\dfrac{1}{5}\).
Explain why Vlad is not correct. [1]
Explain why this graph is misleading. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Correct answer based on angle or area/arc length | 1 | The angle [for black]
| Accept 26 to 30 for “the angle” Accept “not equal to” for “too small” or “less than” See appendix |
Question 19a
| Response | Mark | |
|---|---|---|
| A | The black section does not cover 1/5 of the spinner | 1 “covering” implies area |
| B | The angle is \(28^\circ\). It should be \(72^\circ\). | 1 |
| C | 1/5 is \(72^\circ\) and the black section is less than this | 1 |
| D | The angle is only 28. | 1 Implied comparison with correct angle BOD Minimum case |
| E | Because 30/360 is 1/12 | 1 comparing angle as fraction with common numerator with 1/5 (which is given) (3/36 is not enough to compare) |
| F | Because 28/360 = 0.07[…] not 0.2 | 1 Correct comparison (but (26 to 30)/360 needed for evidence of working with angle) |
| G | The angle is \(28^\circ\). | 0 Does not say that it should be 72 or is too small |
| H | The sections are not of equal area | 0 |
| I | The sections are not of equal width | 0 |
| J | The black section is the smallest section | 0 |
| K | The spinner is unequal and some spaces are the same colour but different size | 0 |
| L | It’s more like a tenth | 0 No angle used to justify |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Any comment recognising limitations in range of the vertical scale | 1 | EG It does not start at zero or It starts at 113 See appendix | |
Question 19b
| Response | Mark | |
|---|---|---|
| A | The graph starts at 113 | 1 Recognises limitation in scale |
| B | The y-axis is only from 113 to 121 | 1 Recognises limitation in scale |
| C | Because you don’t see anything below 113 | 1 Recognises limitation in scale |
| D | You can’t read between the numbers on the scale | 0 Does not recognise limitations in the range of the scale |
| E | It doesn’t start from the bottom of the graph and the units go up in an unusual pattern. | 0 Too vague. |
| F | It looks as though there has been a drastic increase in price when there hasn’t. | 0 Not explained why the scale causes this |
| G | There are lines joining the points. | 0 Irrelevant |
| H | Because the cost varies throughout the month. | 0 True but describing patterns |
| I | Because it would have fluctuated. | 0 True but describing patterns |
| J | You don’t see the bottom of the graph | 0 Too vague |
3
Vlad says
The probability of the spinner landing on black is \(\frac{1}{5}\).
Explain why Vlad is not correct. [1]
Explain why this graph is misleading. [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Correct answer based on angle or area/arc length | 1 | The angle [for black] is too small oe or is less than a fifth oe or should be 72° oe The area/arc length [for black] is too small oe or is less than a fifth oe | Accept 26° to 30° for “the angle” Accept “not equal to” for “too small” or “less than” See appendix |
| Response | Comment | Mark |
|---|---|---|
| The black section does not cover 1/5 of the spinner | “covering” implies area | 1 |
| The angle is 28°. It should be 72°. | 1 | |
| 1/5 is 72° and the black section is less than this | 1 | |
| The angle is only 28. | Implied comparison with correct angle BOD Minimum case | 1 |
| Because 30/360 is 1/12 | Comparing angle as fraction with common numerator with 1/5 (which is given) (3/36 is not enough to compare) | 1 |
| Because 28/360 = 0.07[…] not 0.2 | Correct comparison (but (26 to 30)/360 needed for evidence of working with angle) | 1 |
| The angle is 28°. | Does not say that it should be 72 or is too small | 0 |
| The sections are not of equal area | 0 | |
| The sections are not of equal width | 0 | |
| The black section is the smallest section | 0 | |
| The spinner is unequal and some spaces are the same colour but different size | 0 | |
| It’s more like a tenth | No angle used to justify | 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Any comment recognising limitations in range of the vertical scale | 1 | e.g. It does not start at zero or It starts at 113 See appendix | |
| Response | Comment | Mark |
|---|---|---|
| The graph starts at 113 | Recognises limitation in scale | 1 |
| The y-axis is only from 113 to 121 | Recognises limitation in scale | 1 |
| Because you don’t see anything below 113 | Recognises limitation in scale | 1 |
| You can’t read between the numbers on the scale | Does not recognise limitations in the range of the scale | 0 |
| It doesn’t start from the bottom of the graph and the units go up in an unusual pattern. | Too vague. | 0 |
| It looks as though there has been a drastic increase in price when there hasn’t. | Not explained why the scale causes this | 0 |
| There are lines joining the points. | Irrelevant | 0 |
| Because the cost varies throughout the month. | True but describing patterns | 0 |
| Because it would have fluctuated. | True but describing patterns | 0 |
| You don’t see the bottom of the graph | Too vague | 0 |
20 The table shows the number of computers sold in Tom’s shop each quarter from 2015 to 2017.
[2]
Tom says
The ratio of the total number of computers sold in quarter 1 compared to quarter 4 is 2 : 5.
Is he correct?
Show your reasoning. [2]
Comment 1 ........................................
Comment 2 ........................................ [2]
What assumption has he made? [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Correctly completes graph | 2 | B1 for 2 or 3 correct plots or for 4 plots at correct height | Use overlay mark in 60% zoom For 2 marks, condone points not joined |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| He is correct oe with 60 and 150 shown [= 2 : 5] | 2 | M1 for 13 + 20 + 27 oe or 45 + 47 + 58 oe | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Correct overall comment | 1 | i.e. increasing oe | isw extra statements |
| Correct seasonal comment | 1 | e.g. [Sales were] weakest in 1st quarter [Sales were] strongest in 4th quarter | See AG isw extra statements |
Exemplar responses for Q20c
| Response | Mark |
|---|---|
| He sells more at the end of the year, He always sells the least at the start of the year | Seasonal 1 Overall 0 |
| Tom sells more in the 4th quarter each year. Tom sold more in 2017 than 2015 | Seasonal 1 Overall 0 |
| In quarter 2 2015 he sold about the same as in quarter 2 2016 He sells more each year | Seasonal 0 Overall 1 |
| Sold more computers in 2017 than the other 2 years Sales drop in the 3rd quarter each year | Overall 0 Seasonal 1 |
| Each quarter saw a difference in sales some higher some lower (not specific – which quarters) The number of computers sold each year has increased | Seasonal 0 Overall 1 |
| At the end of each year his sales have increased In quarter 3 in each year his sales drop | Seasonal 1 Overall 0 |
| His sales are rising on every 4 quarter during the year His sales fluctuate but are slowly rising | Seasonal 1 Overall 1 |
| Quarter 3 in 2016 has a decrease in sales on quarter 3 in 2015 2017 had the highest sales | Seasonal 0 Overall 0 |
| As the years went on the number of computers sold increased in quarter 4 Quarter 1 in 2015 was his lowest ever amount of sales | Seasonal 1 Overall 0 |
| The results seem to vary between each quarter They have increased | Seasonal 0 Overall 1 |
| The first quarter always has the lowest result It’s inconsistent in 2017 | Seasonal 1 Overall 0 |
| Every year quarter 1 increased by 7 He sold more computers in 2017 | Seasonal 0 Overall 0 |
| In 2017 in quarter 4, Tom’s number of computers that were sold was the highest Tom sold the least amount of computers in quarter 1 in 2015 | Seasonal 0 Overall 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| The trend in his sales will continue [at a similar rate] oe | 1 | Accept any correct relevant comment referring to general trend or 4th quarter trend isw extra statements See AG | |
Exemplar responses for Q20d
| Response | Mark |
|---|---|
| The number of computers he sells in the 4th quarter increases every year | 1 |
| Because in every 4th quarter he sells more than the year before | 1 |
| He assumes sales will continue to increase | 1 |
| The rate of number of sales has increased in quarter 4 | 1 |
| That the sales continue to go up as they have previously | 1 |
| That his sales will continue to rise and beat the last 4th quarter sale which was 58 | 1 |
| Sales will continue to rise [at a constant rate] | 1 |
| He has seen improvement in his graph | 0 |
| His sales will have a positive correlation between the year and amount sold | 0 |
| That he will sell more | 0 |
| That his figure in 2018 will be better than his figure in 2017 | 0 |
8 The table shows the number of computers sold in Tom’s shop each quarter from 2015 to 2017.
| 2015 | 2016 | 2017 | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Quarter | 1 | 2 | 3 | 4 | 1 | 2 | 3 | 4 | 1 | 2 | 3 | 4 |
| Number of computers sold | 13 | 31 | 29 | 45 | 20 | 32 | 25 | 47 | 27 | 40 | 30 | 58 |
[2]
Tom says
The ratio of the total number of computers sold in quarter 1 compared to quarter 4 is 2 : 5.
Is he correct?
Show your reasoning. [2]
What assumption has he made? [1]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Correctly completes graph | 2 | B1 for 2 or 3 correct plots or for 4 plots at correct height | Use overlay, mark in 60% zoom For 2 marks, condone points not joined |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| He is correct oe with 60 and 150 shown [= 2 : 5] | 2 | M1 for 13 + 20 + 27 oe or 45 + 47 + 58 oe | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Correct overall comment | 1 | i.e. increasing oe | isw extra statements |
| Correct seasonal comment | 1 | e.g. [Sales were] weakest in 1st quarter [Sales were] strongest in 4th quarter | See AG isw extra statements |
| Response | Mark |
|---|---|
| He sells more at the end of the year He always sells the least at the start of the year | Seasonal 1 Overall 0 |
| Tom sells more in the 4th quarter each year. Tom sold more in 2017 than 2015 | Seasonal 1 Overall 0 |
| In quarter 2 2015 he sold about the same as in quarter 2 2016 He sells more each year | Seasonal 0 Overall 1 |
| Sold more computers in 2017 than the other 2 years Sales drop in the 3rd quarter each year | Overall 0 Seasonal 1 |
| Each quarter saw a difference in sales some higher some lower (not specific – which quarters) The number of computers sold each year has increased | Seasonal 0 Overall 1 |
| At the end of each year his sales have increased In quarter 3 in each year his sales drop | Seasonal 1 Overall 0 |
| His sales are rising on every 4 quarter during the year His sales fluctuate but are slowly rising | Seasonal 1 Overall 1 |
| Quarter 3 in 2016 has a decrease in sales on quarter 3 in 2015 2017 had the highest sales | Seasonal 0 Overall 0 |
| As the years went on the number of computers sold increased in quarter 4 Quarter 1 in 2015 was his lowest ever amount of sales | Seasonal 1 Overall 0 |
| The results seem to vary between each quarter They have increased | Seasonal 0 Overall 1 |
| The first quarter always has the lowest result It’s inconsistent in 2017 | Seasonal 1 Overall 0 |
| Every year quarter 1 increased by 7 He sold more computers in 2017 | Seasonal 1 BOD Overall 0 |
| In 2017 in quarter 4, Tom’s number of computers that were sold was the highest Tom sold the least amount of computers in quarter 1 in 2015 | Seasonal 0 Overall 0 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| The trend in his sales will continue [at a similar rate] oe | 1 | Accept any correct relevant comment referring to general trend or 4th quarter trend isw extra statements See AG | |
| Response | Mark |
|---|---|
| The number of computers he sells in the 4th quarter increases every year | 1 |
| Because in every 4th quarter he sells more than the year before | 1 |
| He assumes sales will continue to increase | 1 |
| The rate of number of sales has increased in quarter 4 | 1 |
| That the sales continue to go up as they have previously | 1 |
| That his sales will continue to rise and beat the last 4th quarter sale which was 58 | 1 |
| Sales will continue to rise [at a constant rate] | 1 |
| He has seen improvement in his graph | 0 |
| His sales will have a positive correlation between the year and amount sold | 0 |
| That he will sell more | 0 |
| That his figure in 2018 will be better than his figure in 2017 | 0 |
23 The table shows the average number of customers per day entering a shop.
| 2015 | 2016 | |||||||
| Months | Jan- Mar | Apr- Jun | July- Sep | Oct- Dec | Jan- Mar | Apr- Jun | July- Sep | Oct- Dec |
| Average number of customers per day | 119 | 264 | 368 | 172 | 130 | 304 | 381 | 192 |
[2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 4 points accurately plotted | 2 | B1 for 2 or 3 points accurately plotted | Condone missing or incorrect lines |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
Here are 4 different categories ,
1 mark for each acceptable comment - for 2 marks they must come from different categories | 2 | B1 for 1 correct comment | If they make 3 comments mark the best 2. It is possible to cover 2 categories in one comment for 2 marks |
8 The table shows the average number of customers per day entering a shop.
| 2015 | 2016 | |||||||
|---|---|---|---|---|---|---|---|---|
| Months | Jan-Mar | Apr-Jun | July-Sep | Oct-Dec | Jan-Mar | Apr-Jun | July-Sep | Oct-Dec |
| Average number of customers per day | 119 | 264 | 368 | 172 | 130 | 304 | 381 | 192 |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 4 points accurately plotted | 2 | B1 for 2 or 3 points accurately plotted | condone missing or incorrect lines |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
Here are 4 different categories ,
1 mark for each acceptable comment - for 2 marks they must come from different categories | 2 | B1 for 1 correct comment | If they make 3 comments mark the best 2. It is possible to cover 2 categories in one comment for 2 marks |
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