The local basketball team averages 65% from the free throw line.A player who makes 72.5% of his free throws has a z-score of 1.5.Find the standard deviation.
A)5%
B)15%
C)3%
D)1%
E)10%

Question

Quizplus · Accepted Answer

The z-score is calculated as (x - mu) / sigma, where x is the value of the data point, mu is the mean, and sigma is the standard deviation. We know that the player's z-score is 1.5, and that he makes 72.5% of his free throws. The mean is 65%, so we can plug these values into the formula to get:1.5 = (72.5 - 65) / sigma1.5 = 7.5 / sigmasigma = 7.5 / 1.5sigma = 5%

The Local Basketball Team Averages 65% from the Free Throw