What is the approximate percentage of golfers that scored between 69 and 79?

Question

Tournament scores for 92 golfers are distributed normally. Mean = 74 Standard Deviation= 2.5

A. 27%

B. 68%

C.74%

D. 95%

Answer 1

Since the mean is 74 and the standard deviation is 2.5, the range of golfers scoring between 69 and 79 are those that fall within +/- 2 standard deviations of the mean. From the empirical rule, 95% of data points fall within +/- 2 standard deviations. The answer is D, 95%.