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Numeracy Intermediate November 2016 Unit 1 Q11

WJECIntermediateCurrent spec8 marksCumulative Frequency

11.

(a) 140 girls were asked how long they spent revising for their GCSE examinations.
The cumulative frequency diagram shows the results.
Girls: cumulative frequency (0 to 140) against Time (hours) (0 to 70). Points joined by straight lines: (0, 0), (10, 10), (20, 14), (30, 30), (40, 50), (50, 60), (60, 112), (70, 140)
(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.
Boys: cumulative frequency (0 to 140) against Time (hours) (0 to 70). Points joined by straight lines: (0, 0), (10, 6), (20, 40), (30, 50), (40, 70), (50, 130), (60, 140)

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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