Question

The heights of the children at a summer camp are normally distributed with a mean of 54 in. and a standard deviation of 2.4 in. Enter the height of a child, whose z-score is 1.5, in the box. Round your answer to the nearest tenth.

Answer 1

The z-score is a measure of how many standard deviations the value is from the mean. A z-score of 1.5 means that the value is 1.5 standard deviations above the mean. 

1.5 x 2.4 = 3.6 
54 + 3.6 = 57.6 

Answer: 
57.6 in 

The formula is: 
x = zσ + μ 

z : z-score (1.5) 
σ : standard deviation (2.4) 
μ : mean (54) 

Answer: 
x = 57.6