SOLUTION: You went bowling in two leagues. In the first league the mean bowling score is 167 with a standard deviation of 44. In the second league the mean score is 180 with a standard devia

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Question 1179901: You went bowling in two leagues. In the first league the mean bowling score is 167 with a standard deviation of 44. In the second league the mean score is 180 with a standard deviation of 35. If you bowl a game of 201 in both leagues in which league is this score the best in comparison to the other bowlers? Explain why...
Answer by ikleyn(52794) About Me  (Show Source):
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You went bowling in two leagues. In the first league the mean bowling score is 167 with a standard deviation of 44.
In the second league the mean score is 180 with a standard deviation of 35.
If you bowl a game of 201 in both leagues in which league is this score the best
in comparison to the other bowlers? Explain why...
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In the first league, you standardized score is

    %28210-167%29%2F44 = 0.977  (approximately).


In the second league, you standardized score is

    %28210-180%29%2F35 = 0.857  (approximately).


So, in the first league, your score is better in comparison with other bowlers
than in the second league.

Solved.