The heights of male students in a certain statistics class range from Xmin = 61 to Xmax = 79.Applying the Empirical Rule,a reasonable estimate of σ would be
A)2.75
B)3.00
C)3.25
D)3.50

Question

Quizplus · Accepted Answer

The Empirical Rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. In this case, the range is 79 - 61 = 18, so the standard deviation is approximately 18 / 6 = 3.00.

The Heights of Male Students in a Certain Statistics Class