The average amount of snowfall in a certain town is 54 cm per year.Last year's snowfall was 67.5 cm which corresponded to a z-score of 1.5.Find the standard deviation.
A)5 cm
B)30 cm
C)9 cm
D)20 cm
E)1 cm

Question

Quizplus · Accepted Answer

The z-score formula is Z = (X - μ) / σ, where Z is the z-score, X is the value, μ is the mean, and σ is the standard deviation. Plugging in the given values: 1.5 = (67.5 - 54) / σ. Solving for σ gives σ = 9 cm.

The Average Amount of Snowfall in a Certain Town Is