Your progress
Ticks are kept only in this browser: clearing your browsing data or changing device loses them. · ·

Higher November 2020 Paper 2 Q19

EduqasHigherCurrent spec3 marksHistograms

19.

(a) Freya records how long each of 40 people can hold their breath.
The results are shown in the table.
Time, \(s\) (seconds)Frequency
\(0\lt s\leqslant20\)5
\(20\lt s\leqslant30\)13
\(30\lt s\leqslant45\)10
\(45\lt s\leqslant70\)7
\(70\lt s\leqslant100\)5

Freya wants to draw a histogram for this data.
This is the graph she draws.

Freya's graph: frequency density axis from 0 to 14 against time s (seconds) from 0 to 100; bars of height 5 for 0 to 20, 13 for 20 to 30, 10 for 30 to 45, 7 for 45 to 70 and 5 for 70 to 100

Has Freya drawn a histogram?

Yes ☐     No ☐

Give a reason for your answer. [1]

(b) In one month, 2000 patients visited a doctors’ surgery.
This histogram shows information about the length of time, \(t\) minutes, these 2000 patients spent at the surgery.
Histogram: frequency density (no scale numbers) against time t (minutes) from 0 to 40, with bars for 0 to 5, 5 to 10, 10 to 15, 15 to 20, 20 to 30 and 30 to 40

The group \(0\lt t\leqslant5\) represents 120 patients.

How many patients are represented by the group \(30\lt t\leqslant40\)? [2]