Higher June 2023 Paper 1R Q14

EdexcelHigherCurrent spec6 marksCumulative Frequency

14 The table gives information about the times taken by 80 people to run a race.

Time taken (\(t\) minutes)Frequency
\(50 \lt t \leqslant 60\)15
\(60 \lt t \leqslant 70\)16
\(70 \lt t \leqslant 80\)21
\(80 \lt t \leqslant 90\)14
\(90 \lt t \leqslant 100\)8
\(100 \lt t \leqslant 110\)6
(a) Complete the cumulative frequency table. (1)
Time taken (\(t\) minutes)Cumulative frequency
\(50 \lt t \leqslant 60\)
\(50 \lt t \leqslant 70\)
\(50 \lt t \leqslant 80\)
\(50 \lt t \leqslant 90\)
\(50 \lt t \leqslant 100\)
\(50 \lt t \leqslant 110\)
(b) On the grid below, draw a cumulative frequency graph for your table. (2)
Grid for a cumulative frequency graph: time taken in minutes from 50 to 110 on the horizontal axis and cumulative frequency from 0 to 80 on the vertical axis
(c) Use your graph to find an estimate for the median time taken. (1)
(d) Use your graph to find an estimate for the interquartile range of the times taken. (2)
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