After a particular heavy snowstorm, the depth of snow reported in a mountain village followed a uniform distribution over the interval from 15 to 22 inches of snow. Find the standard deviation of the snowfall amounts.
A) 18.5 inches
B) 4.08 inches
C) 2.02 inches
D) 1.42 inches

Question

Quizplus · Accepted Answer

The standard deviation of a uniform distribution is equal to the range divided by the square root of 12. In this case, the range is 22 - 15 = 7 inches, so the standard deviation is 7 / sqrt(12) = 2.02 inches.

After a Particular Heavy Snowstorm, the Depth of Snow Reported