Higher January 2021 Paper 1R Q11

EdexcelHigherCurrent spec6 marksCumulative Frequency

11 The manager of a call centre asked the 120 people, who rang the call centre last week, how long they each waited before their call was answered.

The table gives information about their replies.

Time waited (\(t\) minutes)Frequency
\(0 \lt t \leqslant 5\)8
\(5 \lt t \leqslant 10\)15
\(10 \lt t \leqslant 15\)17
\(15 \lt t \leqslant 20\)28
\(20 \lt t \leqslant 25\)33
\(25 \lt t \leqslant 30\)19
(a) Complete the cumulative frequency table.
Time waited (\(t\) minutes)Cumulative frequency
\(0 \lt t \leqslant 5\)
\(0 \lt t \leqslant 10\)
\(0 \lt t \leqslant 15\)
\(0 \lt t \leqslant 20\)
\(0 \lt t \leqslant 25\)
\(0 \lt t \leqslant 30\)
(1)
(b) On the grid below, draw a cumulative frequency graph for your table.
Grid with time waited from 0 to 30 minutes on the horizontal axis and cumulative frequency from 0 to 120 on the vertical axis
(2)
(c) Use your graph to find an estimate for the median of the times waited. (1)
(d) Using your graph, find an estimate for the percentage of the 120 people who said that they waited longer than 23 minutes before their call was answered.
Show your working clearly. (2)
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