For a competition in a tennis match, the mean score was 83.2. Assume that you were...
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For a competition in a tennis match, the mean score was 83.2. Assume that you were told that your score of 87 placed you in the 84th percentile. Assuming that the data is bell-shaped, provide an estimate of the standard deviation of the test.
Homework Answers
Ans:
Given that
mean score=83.2
P84=87
P(Z<=z)=0.84
z=normsinv(0.84)
z=0.994
Now,
87=83.2+0.994*SD
SD=(87-83.2)/0.994
SD=3.82
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