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.
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)
