Find the number of standard deviations from the mean. Round your answer to two decimal places.
-The annual snowfall in a town has a mean of 35 inches and a standard deviation of 11 inches. Last year there were 60 inches of snow. How many standard deviations from the mean is that?
A) 2.27 standard deviations below the mean
B) 0.40 standard deviations below the mean
C) 0.40 standard deviations above the mean
D) 2.27 standard deviations above the mean

Question

Quizplus · Accepted Answer

To find the number of standard deviations from the mean, we use the formula:

z = (x - μ) / σ

where:
z = number of standard deviations from the mean
x = the value we want to convert
μ = the mean
σ = the standard deviation

In this case:
x = 60 inches
μ = 35 inches
σ = 11 inches

z = (60 - 35) / 11
z = 2.27

Since the value of z is positive, it means that the value of 60 inches is above the mean. Therefore, the answer is D) 2.27 standard deviations above the mean.

Find the Number of Standard Deviations from the Mean