Heights of male students in a certain statistics class range

Heights of male students in a certain statistics class range from X_min = 61 to X_max = 79. Applying the Empirical Rule, a reasonable estimate of would be:

2.75.

3.00.

3.25.

3.50.

Solution

Applying empirical rule, we assume that difference between Xmin and Xmax = 6*standard deviation

So Xmax - Xmin = 6*standard deviation

standard deviation = (79-61)/6 = 18/6 = 3.00

Answer: 3.00