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Statistics / The Practice of Statistics 5 / Chapter 2.1 / Problem 28

The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor

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Multiple choice: Select the best answer for Exercises 25 to 30. George has an average

Chapter 2, Problem 28

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QUESTION:

Multiple choice: Select the best answer for Exercises 25 to 30. George has an average bowling score of 180 and bowls in a league where the average for all bowlers is 150 and the standard deviation is 20. Bill has an average bowling score of 190 and bowls in a league where the average is 160 and the standard deviation is 15. Who ranks higher in his own league, George or Bill? (a) Bill, because his 190 is higher than Georges 180. (b) Bill, because his standardized score is higher than Georges. (c) Bill and George have the same rank in their leagues, because both are 30 pins above the mean. (d) George, because his standardized score is higher than Bills. (e) George, because the standard deviation of bowling scores is higher in his league.

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QUESTION:

Multiple choice: Select the best answer for Exercises 25 to 30. George has an average bowling score of 180 and bowls in a league where the average for all bowlers is 150 and the standard deviation is 20. Bill has an average bowling score of 190 and bowls in a league where the average is 160 and the standard deviation is 15. Who ranks higher in his own league, George or Bill? (a) Bill, because his 190 is higher than Georges 180. (b) Bill, because his standardized score is higher than Georges. (c) Bill and George have the same rank in their leagues, because both are 30 pins above the mean. (d) George, because his standardized score is higher than Bills. (e) George, because the standard deviation of bowling scores is higher in his league.

ANSWER:

Step 1 of 2

Given,

George’s average bowling score,

League’s bowling average,

Standard deviation of bowling score,

Bill’s average bowling score,

League’s average bowling score,

Standard deviation of bowling score,

Let’s determine who ranks higher in his own league, George or Bill.

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