Higher June 2022 Paper 3 Q17

EdexcelCurrent spec5 marksHistograms

17 The table gives information about the distances, in miles, that some Year 10 students live from school.

Distance (\(d\) miles)Frequency
\(0 \lt d \leqslant 1.0\)90
\(1.0 \lt d \leqslant 1.5\)48
\(1.5 \lt d \leqslant 2.0\)22
\(2.0 \lt d \leqslant 3.0\)8
\(3.0 \lt d \leqslant 5.0\)12
(a) On the grid below, draw a histogram for this information.
Empty grid with Frequency density on the vertical axis (no scale) and Distance (d miles) from 0 to 5 on the horizontal axis
(3)

The histogram below shows information about the distances, in miles, that some Year 11 students live from school.

Histogram for Year 11 with Frequency density on the vertical axis (no scale) and Distance (d miles) on the horizontal axis. Bars for 0 to 0.5, 0.5 to 1, 1 to 2, 2 to 3 and 3 to 5 with heights in the ratio 37.5 : 26 : 15 : 7 : 3

The number of Year 11 students who live between 1 and 2 miles from school is \(n\).

(b) Find an expression, in terms of \(n\), for the number of Year 11 students who live between 3 and 5 miles from school. (2)
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