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Variance Among Statistician's Salaries in New Jersey

APSTAT-1HIX4Y

According to the Bureau of Labor Statistics, the mean hourly wage for a statistician in the state of New Jersey in May, 2014 was \$$38.46$ and a statistician earning \$$62.42$/hour was in the $90$th percentile.

Assuming the distribution of wages is approximately normal, what is the variance of the hourly wage?

A

$4.50$

B

$13.24$

C

$20.28$

D

$175.43$

E

$411.33$