Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Find the mean, median, and mode of each data set. Tell which measure of central tendency best describes the data.

7. weights of books (oz): 12 10 9 15 16 10
8. golf scores: 98 96 98 134 99
9. time spent on Internet (min/day): 75 38 43 120 65 48 52
10. ages of students on math team: 14 14 15 15 16 15 15 16

See Problem 2.

Find the value of x such that the data set has the given mean.

11. 3.8, 4.2, 5.3, x; mean 4.8
12. 99, 86, 76, 95, x; mean 91
13. 100, 121, 105, 113, 108, x; mean 112
14. 31.7, 42.8, 26.4, x; mean 35

15. Sales The line plot below shows the numbers of weekly sales a salesperson made in the first nine weeks of a ten-week sales period. The salesperson's target is an average of 14 sales each week. How many sales does the salesperson need in the tenth week to meet the target average?

    

    Number of Weekly Sales

See Problem 3.

Find the range and mean of each data set. Use your results to compare the two data sets.

16. Set A: 0 12 7 19 21

    Set B: 13 16 15 17 12

17. Set C: 4.5 7.1 8.3 6.9

    Set D: 2.1 29.5 1.2 3.3

18. Set E: 113 183 479 120 117

    Set F: 145 129 153 135 142

19. Sports Over the past 6 seasons, one baseball player's batting averages were .265, .327, .294, .316, .281, and .318. A second player's batting averages were .304, .285, .312, .291, .303, and .314. What are the range and mean of each player's batting averages? Use your results to compare the players' batting skills.

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