Box Plots: Eduqas GCSE Higher November 2022 Paper 2 Q11

Higher November 2022 Paper 2 Q11

EduqasHigherCurrent spec5 marksBox Plots

11. Two groups of people, \(A\) and \(B\), take part in a fun run.
Everyone in the groups completes the run.

The table gives a summary of the times, \(t\) minutes, taken by group \(A\).

Minimum	Maximum	Median	Lower Quartile	Inter-quartile range
15·2	23·2	19·4	16·8	4·2

(a) On the grid below, draw a box plot to represent this data. [3]

(b) The box plot below gives a summary of the times, \(t\) minutes, taken by group \(B\).

Marcie makes two statements using information from the box plots.
Are Marcie’s statements correct?
Explain how you decide.

(i) “On average, runners in group \(B\) ran faster than runners in group \(A\).” [1]

Correct ☐ Not correct ☐

(ii) “There is a greater proportion of runners who took less than 17 minutes in group \(B\).” [1]

Correct ☐ Not correct ☐

Mark scheme (a)

Scheme	Marks	Comments
Correct box plot with: Median at 19.4 Lower quartile at 16.8 Upper quartile at 21.0 Left whisker to 15.2 Right whisker to 23.2	B3	B1 for UQ = 21(.0) si; may not be in a box plot B1 for LQ, Median, UQ positioned correctly in a box plot, B1 for correct whiskers

Mark scheme (b)

Scheme	Marks	Comments
(b)(i) Correct indicated and valid explanation e.g. ‘The median for group \(B\) is lower.’ or ‘The median (for group \(A\) is 19.4 and) for group \(B\) is 18.8.’	E1
(b)(ii) Not correct indicated and valid explanation e.g. ‘The lower quartile for \(B\) is more than 17 but the lower quartile for \(A\) is less than 17.’	E1	Allow: Not correct and ‘Group A had a lower quartile less than 17’
	(5)