O-LevelMathematicsStatistics4024/21 · May/June 2019 · Q25 Marks

Ten boys ran in a 100m race and a 200m race. The table below shows their times in seconds. Time for 100 m race | 12.3 | 14.1 | 15.1 | 16.7 | 13.0 | 14.7 | 13.7 | 12.9 | 15.2 | 16.1 Time for 200 m race | 23.9 | 30.5 | 36.8 | 35.4 | 29.8 | 32.5 | 28.4 | 26.1 | 33.5 | 36.0

(a)Complete the scatter diagram. The first five points have been plotted for you.[2]
(b)What type of correlation is shown in the scatter diagram?[1]
(c)Draw a line of best fit.[1]
(d)Another boy recorded a time of 27.5 s in the 200m race. Use your graph to estimate the time it would take him to run 100m.[1]

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Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

[2] (14.7, 32.5) (13.7, 28.4) (12.9, 26.1) (15.2, 33.5) (16.1, 36.0) plotted B1 for 3 or 4 correct
[1] positive
[1] Ruled line of best fit
[1] Strict FT their ruled line of best fit

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Topic: Statistics, O-Level Mathematics (syllabus 4024). Structured question, 5 marks.
Source: O-Level Mathematics, May/June 2019 Paper 2 Variant 1, question 2.

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