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Statistics: Power from Data!
Measures of spread
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Exercises
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For the following sets of data, find the range.
6, 8, 11, 15, 24, 38 Answer 1a
11, -6, -2, 16, 9, -8, 17, 19 Answer 1b
6.4, 3.8, 5.9, 4.7, 5.3, 7.1, 3.2 Answer 1c
Imagine that the number of marriages registered over a 10 year period were as follows:
Table 1. Number of registered marriages
1
40,650
2
40,812
3
41,300
4
41,450
5
39,594
6
40,734
7
39,993
8
38,814
9
37,828
10
35,716

Using the information from the above table, find
the range Answer 2a
the median Answer 2b
the upper and lower quartiles Answer 2c
the interquartile range Answer 2d
the five-number summary Answer 2e
Listed below are the maximum daily temperatures (in degrees Celsius) in Iqaluit from
June 2 to June 16:
2.8, 7.3, 9.6, 8.9, 11.4, 6.7, 5.8, 5.5, 6.7, 6.2, 9.0, 8.2, 7.6, 8.5, 6.7
Find the range. Answer 3a
Calculate the interquartile range. Answer 3b
Calculate the five-number summary. Answer 3c
The following table outlines hypothetical numbers of industrial disputes
over a ten year period;
Table 2. Number of industrial disputes
1
266
2
231
3
223
4
262
5
260
6
230
7
191
8
182
9
165
10
153

Find the range. Answer 4a
Calculate the interquartile range. Answer 4b
Calculate the five-number summary. Answer 4c
Draw a box and whisker plot for this data. Answer 4d
The number of basketball games attended by 50 season ticket-holders were:
15, 10, 17, 11, 15, 12, 13, 16, 12, 14, 14, 16, 15, 18, 11, 16, 13, 17, 12,
16, 18, 15, 17, 15, 19, 13, 14, 17, 16, 15, 12, 11, 17, 16, 15, 10, 14, 15,
13, 16, 18, 15, 17, 11, 14, 17, 15, 14, 13, 16.
Tally the data and present them in a frequency distribution table. Answer 5a
Draw a vertical bar graph. Answer 5b
Calculate the mean, median and mode. Answer 5c
Calculate the variance and standard deviation. Answer 5d
Calculate the interval within which 95% of observations would be expected
to occur. Answer 5e
Comment on the spread of the data. Answer 5f