16 Cumulative Frequency Worksheet Page 18
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27MEP Y9 Practice Book B
Cumulative
Frequency
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
5
1
0
4
2
3
Mass (kg)
=
Lower quartile
1.4 kg
=
Upper quartile
3 kg
= 3 1 4
− .
Interquartile range
=
1.6 kg
=
Semi-interquartile range
0.8 kg
Exercises
1.
Determine the median and interquartile range of the following set of data:
11
8
5
9
7
3
4
8
14
16
2
2.
Calculate the semi-interquartile range of this sample:
42 26 32 41 52 33 88 71 38 52 53 27 46 32 59
3.
In a sample, the semi-interquartile range is 14. The lower quartile is 5 less
than the median. Determine the median if the upper quartile is 91.
4.
Below are the times, in minutes, spent on homework one evening by a group
of students.
≤ < t
≤ < t
≤ < t
≤ < t
≤ < t
Time Spent (min)
0
10
10
20
20
30
30
40
40
50
Frequency
3
7
10
15
4
185
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