Higher June 2024 Paper 2R Q11

EdexcelHigherCurrent spec7 marksCumulative Frequency

11 The cumulative frequency table gives information about the time, in hours, that each of 60 workers spent working from home in one week.

Time (\(t\) hours)Cumulative frequency
\(0 \lt t \leqslant 5\)6
\(0 \lt t \leqslant 10\)17
\(0 \lt t \leqslant 15\)27
\(0 \lt t \leqslant 20\)42
\(0 \lt t \leqslant 25\)53
\(0 \lt t \leqslant 30\)60
(a) On the grid below, draw a cumulative frequency graph for the information in the table. (2)
Blank grid with cumulative frequency from 0 to 60 on the vertical axis and time in hours from 0 to 30 on the horizontal axis
(b) Use your graph to find an estimate for the interquartile range of the times. (2)

25 workers spent more than \(W\) hours working from home.

(c) Use your graph to find an estimate for the value of \(W\) (2)

One of the 60 workers is chosen at random.
This worker spent \(H\) hours working from home.

(d) Find the probability that \(5 \lt H \leqslant 10\) (1)
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