MEP Y9 Practice Book B
(a)
How do the mean and median compare?
(b)
Determine the semi-interquartile range for the data.
9.
The number of passengers on a bus route was recorded over a period of
time, to give the following data:
Number of Passengers
Frequency
≤
<
0
n
10
3
≤
<
10
n
20
7
≤
<
20
n
30
12
≤
<
30
n
40
13
≤
<
40
n
50
29
≤
<
50
n
60
27
Determine the median and semi-interquartile range of the data.
10.
Give an example of a sample for which the semi-interquartile range is a
quarter of the range of the sample.
11.
The cumulative frequency graph shows the height of 150 Norway fir trees.
150
125
100
Cumulative
Frequency
75
50
25
0
0.55
0.60
0.65
0.70
0.75
0.80
Height of Trees (m)
(a)
Use the graph to estimate the median height and the interquartile
range of the Norway firs.
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