4MA0 Higher January 2014 Paper 3R Q10

EdexcelHigherOld spec5 marksCumulative Frequency

10 The grouped frequency table gives information about the lengths of time 160 students exercised one day.

Time (\(t\) minutes)Frequency
\(0 \lt t \leqslant 40\)20
\(40 \lt t \leqslant 80\)35
\(80 \lt t \leqslant 120\)60
\(120 \lt t \leqslant 160\)33
\(160 \lt t \leqslant 200\)7
\(200 \lt t \leqslant 240\)5
(a) Complete the cumulative frequency table.
Time (\(t\) minutes)Cumulative frequency
\(0 \lt t \leqslant 40\)
\(0 \lt t \leqslant 80\)
\(0 \lt t \leqslant 120\)
\(0 \lt t \leqslant 160\)
\(0 \lt t \leqslant 200\)
\(0 \lt t \leqslant 240\)
(1)
(b) On the grid, draw a cumulative frequency graph for your table.
Grid for a cumulative frequency graph: time t minutes from 0 to 240, cumulative frequency from 0 to 200
(2)
(c) Use your graph to find an estimate for the lower quartile of the lengths of time the 160 students exercised. (2)
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