16 Cumulative Frequency Worksheet Page 23

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MEP Y9 Practice Book B
16.4 Box and Whisker Plots
A box and whisker plot is based on the minimum and maximum values, the upper
and lower quartiles and the median. This type of plot provides a good way to
compare two or more samples.
Minimum
Maximum
Value
Value
Lower
Upper
Quartile Median
Quartile
Note: Box and whisker plots must always be drawn accurately to scale.
Example 1
Given the information below, draw a box and whisker plot.
Minimum
82
Lower quartile
94
Median
95
Upper quartile
102
Maximum
110
Solution
The box and whisker plot is shown below.
80
90
100
110
Example 2
Draw a box and whisker plot for this sample:
5
7
1
9
11
22
15
Solution
First list the sample in order, to determine the median and the quartiles.
1
5
7
9
11
15
22
Minimum
Lower
Median
Upper Maximum
quartile
quartile
190

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