Higher January 2021 Paper 1R Q18

EdexcelHigherCurrent spec5 marksHistograms

18 The histogram and the table give some information about the amounts of time, in hours, that Year 11 students at Bergdesh Academy spent, in total, on their homework last week.
No student in Year 11 spent longer than 9 hours on their homework.

Histogram of time spent on homework from 0 to 9 hours with bars for 0 to 2, 2 to 4, 4 to 5, 5 to 6 and 6 to 9; the frequency density axis has no scale
Time spent on homework
(\(t\) hours)		Frequency
\(0 \lt t \leqslant 2\)28
\(2 \lt t \leqslant 4\)
\(4 \lt t \leqslant 5\)
\(5 \lt t \leqslant 6\)
\(6 \lt t \leqslant 9\)

Using the information in the histogram and in the table, work out an estimate for the mean amount of time the Year 11 students spent on their homework last week.
Give your answer in hours correct to 3 significant figures.

(5)

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