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Numeracy Higher November 2016 Unit 1 Q4

WJECHigherCurrent spec8 marksCumulative Frequency

4.

(a)

140 girls were asked how long they spent revising for their GCSE examinations.
The cumulative frequency diagram shows the results.

Cumulative frequency (0 to 140) against Time (hours, 0 to 70); points (0, 0), (10, 10), (20, 14), (30, 30), (40, 50), (50, 60), (60, 112), (70, 140) joined with straight lines
(i)

Estimate the median time the girls spent revising.
Circle your answer. [1]

35 hours     40 hours     48 hours     52 hours     70 hours

(ii)

Calculate the number of girls who spent between 40 and 50 hours revising.
Circle your answer. [1]

0 girls     5 girls     10 girls     15 girls     20 girls

(iii)

Circle either TRUE or FALSE for each of the following statements. [2]

25 girls spent between 30 and 50 hours revising.TRUEFALSE
No girls spent more than 80 hours revising.TRUEFALSE
The modal group is between 50 and 60 hours spent revising.TRUEFALSE
20 girls spent more than 60 hours revising.TRUEFALSE
(b)

140 boys were asked how long they spent revising for their GCSE examinations.
The cumulative frequency diagram below shows the results.

Cumulative frequency (0 to 140) against Time (hours, 0 to 70); points (0, 0), (10, 6), (20, 40), (30, 50), (40, 70), (50, 130), (60, 140) joined with straight lines

Trefor makes two statements.

1. The boys’ interquartile range is greater than the girls’ interquartile range.

2. On average, boys spent more time revising.

Are both Trefor’s statements correct?
Show calculations and give reasons to support your answers. [4]

Statement 1: ……………

Statement 2: ……………

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