Foundation November 2020 Paper 2 Q12
12.
(a)
Two taxi drivers record the number of miles they each drive on 12 days.
The results are shown in the table below.
| Miles driven | ||||||||
|---|---|---|---|---|---|---|---|---|
| Barry | Samira | |||||||
| 160 | 171 | 171 | 175 | 161 | 172 | 174 | 174 | |
| 177 | 182 | 188 | 189 | 180 | 181 | 185 | 186 | |
| 190 | 191 | 193 | 208 | 192 | 192 | 196 | 203 | |
(i)
Use the data to complete this table. [2]
| Barry | Samira | |
|---|---|---|
| Range | 48 | |
| Median | 183 |
(ii) Which taxi driver drove a more consistent number of miles each day?
Give a reason for your answer. [1]
Give a reason for your answer. [1]
(b)
Tanya is also a taxi driver.
Last month she drove 3405 miles.
She says,
“That means that I drive over 40 000 miles in a year!”
(i) Show how Tanya could be correct. [2]
(ii)
State one assumption Tanya has made.
Explain how this has affected the answer. [2]
Assumption: ………………
Explanation: ………………
| Scheme | Marks | Comments | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
(i)
| B2 | B1 for one correct | |||||||||
| (ii) Samira because range is smaller | B1 | FT their table Allow e.g ‘Samira as her distances are less spread out (than Barry)’ ‘Samira as the numbers are closer together’ Do not allow e.g ‘Samira, her miles are more consistent’ |
| Scheme | Marks | Comments |
|---|---|---|
| (i) 3405 × 12 or 40 000 ÷ 12 | M1 | Accept 3400 × 12 Allow equivalent calculations using distance per day. |
| 40 860 (>40 000) or 3333(.33…) (< 3405) | A1 | Accept 40 800 Allow 40 900 and 41 000 from correct working. |
| (ii) Relevant assumption e.g. ‘She has assumed that the month was typical.’ Or ‘She has assumed that she will drive the same distance each month’ | E1 | Do not accept ‘there are 12 months in a year’ |
| Correct effect of assumption e.g. ‘If other months were busier, she would drive further.’ | E1 | Dependent on the assumption mark being awarded. Allow both the assumption and explanation written here. |
| (7) |