Question

The annual rainfall in a town has a mean of 51.84 inches and a standard deviation of 8.05 inches. Last year there was rainfall of 63 inches. How many standard deviations away from the mean is that

Answer 1

It is 1.39 standard devaitions away from the mean.

Since the mean x = 51.84 inches and the standard deviation, σ = 8.05 inches.

The amount of rainfall last year was X = 63 inches.

The difference between X and the mean x is d = X - x

= 63 - 51.84 in

= 11.16 in

To find the number of standard devaitions X is from the mean, n, we divide d by the standard deviation,σ.

So, n = d/σ

= 11.16 in/8.05 in

= 1.39

So, it is 1.39 standard devaitions away from the mean.

Learn more about number of standard deviations here:

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