Higher November 2023 Paper 2 Q15

EdexcelCurrent spec6 marksHistograms

15 The incomplete table and the incomplete histogram give information about the times taken by some students to run a race.

Time (\(t\) seconds)Frequency
\(10 \lt t \leqslant 12\)
\(12 \lt t \leqslant 16\)10
\(16 \lt t \leqslant 19\)15
\(19 \lt t \leqslant 21\)9
\(21 \lt t \leqslant 26\)7
Incomplete histogram with Time (seconds) from 0 to 30 and Frequency density with no scale; bars drawn for 10 to 12, 12 to 16 and 16 to 19

None of these students had a time for the race such that \(t \leqslant 10\) or \(t \gt 26\)

(a) Use the histogram to complete the table. (1)
(b) Use the table to complete the histogram. (2)

The histogram below gives information about the times taken by 43 students to run a different race.

Histogram with Time (seconds) from 0 to 30 and Frequency density from 0 to 7: 10 to 12 height 2, 12 to 16 height 2, 16 to 20 height 4, 20 to 22 height 6.5, 22 to 26 height 0.5
(c) Work out an estimate for the median of the times taken by these 43 students to run the race. (3)
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