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The annual rainfall in a town has a mean of 54.11 inches and a standard deviation of 12.59 inches. Last year there was rainfall of 48 inches. How many standard deviations away from the mean is that? Round your answer to two decimal places.



Answer :

SOLUTION

Mean=54.11, standard deviation = 12.59

X=48

Using the z formula

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Substituting values gives

[tex]z=\frac{48-54.11}{12.59}[/tex]

Solve for z

[tex]z=-0.4853[/tex]

This shows that the result shows that the value x=48 is 0.4853 standard deviation to the left of the mean.

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