C Challenge

22. 1. Use the table to find the range, the mean, and the standard deviation of the ages for each team.
    2. Reasoning For two data sets, does the set with the greater range necessarily have the greater standard deviation? Support your answer with your results from part (a).
23. 1. What effect will adding 10 to every value in a data set have on the standard deviation?
    2. What will be the effect if you multiply each value by 10?

Standardized Test Prep

SAT/ACT

GRIDDED RESPONSE

For Exercises 24–25, use the following bowling scores for six members of a bowling team: 175, 210, 180, 195, 208, 196.

24. What is the mean of the scores?
25. What is the standard deviation of the scores?
26. The 30th term of a finite arithmetic series is 4.4. The sum of the first 30 terms is 78. What is the value of the first term of the series?
27. What is the probability of NOT getting a five when rolling a number cube? Write your answer as a fraction reduced to lowest terms.

Mixed Review

See Lesson 11-5.

Make a box-and-whisker plot for each set of values.

28. 25, 25, 30, 35, 45, 45, 50, 55, 60, 60
29. 20, 23, 25, 36, 37, 38, 39, 50, 52, 55

See Lesson 10-3.

Find the center and the radius of each circle.

30. ( x − 2 ) 2 + ( y + 1 ) 2 = 36 open x minus 2 close squared . plus . open y plus 1 close squared . equals 36
31. ( x − 1 ) 2 + ( y − 1 ) 2 = 4 open x minus 1 close squared . plus . open y minus 1 close squared . equals 4

Get Ready! To prepare for Lesson 11-7, do Exercises 32–37.

See Lesson 6-1.

Simplify each radical expression.

32. 1 4 fraction 1 , over square root of 4 end fraction
33. − 1 9 negative , fraction 1 , over square root of 9 end fraction
34. 1 36 fraction 1 , over square root of 36 end fraction
35. − 1 121 negative , fraction 1 , over square root of 121 end fraction
36. − 1 81 negative , fraction 1 , over square root of 81 end fraction
37. 1 49 fraction 1 , over square root of 49 end fraction

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