Averages (including IQR): WJEC GCSE Numeracy Foundation November 2021 Unit 1 Q2

Numeracy Foundation November 2021 Unit 1 Q2

WJECFoundationCurrent spec11 marksAverages (including IQR)Bar Charts & Pictograms Decimals

2. The table below shows the number of swimming medals won by 5 countries in the 2018 Gold Coast Commonwealth Games.

One entry is missing.

Country	Gold	Silver	Bronze	Total
England	9	10	5	24
South Africa	6	3	3	12
Canada	3		6	20
New Zealand	2	0	1	3
Wales	1	1	3	5

(a)

(i) Complete the table to show the number of Silver medals won by Canada. [1]

(ii) Which country had a quarter of the total number of medals won by Canada? [1]

(b)

Draw a pictogram to represent the total number of medals won by each of the 5 countries. [4]

Key: a square divided into 4 small squares represents 4 medals. Below, a blank pictogram table with a Country column and 5 empty rows

(c)

Before 2018, the world record for the 100 metres breaststroke was 57·13 seconds.
During 2018, Adam Peaty beat this world record by 3 hundredths of a second.
What was the new world record? [2]

(d)

Alys Thomas, from Wales, won a Gold medal in the 200 metres butterfly final.
Her reaction time was 0·73 seconds and her total time was 2 minutes and 5·45 seconds.
The results for the race are shown below.

Results
Position	Lane	Name		Reaction time (in seconds)	Total time (in minutes and seconds)
1	4	WAL	Alys THOMAS	0.73	2:05.45
2	5	AUS	Laura TAYLOR	0.68	2:07.39
3	6	AUS	Emma MCKEON	0.73	2:08.05
4	7	IOM	Charlotte ATKINSON	0.70	2:08.50
5	2	AUS	Brianna THROSSELL	0.68	2:08.82
6	3	CAN	Mabel ZAVAROS	0.70	2:09.20
7	8	ENG	Emily LARGE	0.68	2:10.96
8	1	ENG	Laura STEPHENS	0.68	2:11.46

(i) What is the difference in the total time between 1st and 2nd place? [2]

(ii) What was the modal reaction time? [1]

Scheme	Marks	Comments
(i) 11	B1	Answer may be seen in table or on the answer line. Answer in the table takes precedence.
(ii) Wales	B1

Pictogram: England 6 full symbols, South Africa 3, Canada 5, New Zealand three quarters of a symbol, Wales 1 full symbol and a quarter symbol — Mark scheme (b)

Scheme	Marks	Comments
Labels for countries	B1
Correct pictogram drawn	B3	Award B2 for 3 or 4 drawn correctly Award B1 for 2 drawn correctly Award B0 for incorrect key used (i.e. one small square represents 4) Penalise -1 only for consistent use of a different symbol. eg ⊕

Scheme	Marks	Comments
57.1(0) (seconds)	B2	Award B1 for sight of 0.03 (but not 3/100) or 57.16

Mark scheme (d)

Scheme	Marks	Comments
(i) (2:)07.39 – (2:)05.45	M1	Or alternative method e.g. counting on. Must be a full method that leads to correct answer. Award M1 for sight of the digits 194 Award M1 for subtraction of (2:)07.39 and (2:)05.45 implied, including (2:)05.45 - (2:)07.39 Note: answer of 2.06 or 2 mins and 6 seconds implies subtraction so award M1
1.94 (seconds)	A1	ISW. Allow 0:01.94 or 0.01.94 If no marks award SC1 for misreading the decimals eg an answer 1(:) 54 or 1.54 or 1 (minute) 54 (seconds) or 2(:) 34 (from 154 ÷ 60)
(ii) 0.68 (seconds)	B1