3.2--5 An insurance institute conducted tests with crashes of new cars traveling at 6 mi/h. The total cost of the damages was found for a simple random sample of the tested cars and listed below. Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. Do the different measures of center differ very much? $7,456 $4,968 $9,137 $6,425 $4,248 a. The mean is $ nothing.
3-2-2 Listed below are the top 10 annual salaries (in millions of dollars) of TV personalities. Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data in millions of dollars. Given that these are the top 10 salaries, do we know anything about the salaries of TV personalities in general? Are such top 10 lists valuable for gaining insight into the larger population?
37.6 37 35.7 27 15.6 13.8 11.2 10.7 8.9 7.5
Solution:
Using Excel:
a)
Data | |
7456 | |
4968 | |
9137 | |
6425 | |
4248 | |
Max | 9137 |
Min | 4248 |
Mean | 6446.8 |
Median | 6425 |
Mode | no rpeated value Mode not exist |
Midrange | 6692.5 |
b)
Data | |
37.6 | |
37 | |
35.7 | |
27 | |
15.6 | |
13.8 | |
11.2 | |
10.7 | |
8.9 | |
7.5 | |
Max | 37.6 |
Min | 7.5 |
Mean | 20.5 |
Median | 14.7 |
Mode | no rpeated value Mode not exist |
Midrange | 22.55 |
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