The mean height of women in the United States is 63.5 inches with a standard deviation of 2.5 inches. Calculate the z-score for Alayna’s height of 57 inches.

Answer 1

The z-score formula is:

z = (x - μ) / σ

where:
x = Alayna's height = 57 inches
μ = mean height of women = 63.5 inches
σ = standard deviation = 2.5 inches

Plugging in the values:

z = (57 - 63.5) / 2.5
z = (-6.5) / 2.5
z = -2.6

Therefore, the z-score for Alayna's height of 57 inches is -2.6.