Higher November 2021 Paper 1 Q11

EdexcelHigherCurrent spec5 marksCumulative Frequency

11 The table gives information about the times taken by 90 runners to complete a 10 km race.

Time (t minutes)Frequency
\(25 \lt t \leqslant 35\)12
\(35 \lt t \leqslant 45\)24
\(45 \lt t \leqslant 55\)28
\(55 \lt t \leqslant 65\)12
\(65 \lt t \leqslant 75\)10
\(75 \lt t \leqslant 85\)4
(a) Complete the cumulative frequency table.
Time (t minutes)Cumulative frequency
\(25 \lt t \leqslant 35\)12
\(25 \lt t \leqslant 45\)
\(25 \lt t \leqslant 55\)
\(25 \lt t \leqslant 65\)
\(25 \lt t \leqslant 75\)
\(25 \lt t \leqslant 85\)
(1)
(b) On the grid below, draw a cumulative frequency graph for your table.
Grid with Time (t minutes) from 25 to 85 on the horizontal axis and Cumulative frequency from 0 to 90 on the vertical axis
(2)

Any runner who completed the race in a time \(T\) minutes such that \(42 \lt T \leqslant 52\) minutes was awarded a silver medal.

(c) Use your graph to find an estimate for the number of runners who were awarded a silver medal. (2)
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