We have been given that the heights of the children at a summer camp are normally distributed with a mean of 54 inches and a standard deviation of 2.4 inches.
We are asked to find out height of a child with a z-score of 1.5.
Since we know we can find out height a child using z score formula.
, where z represents z score, x represents the value we want to find out z score of,
represents mean of the data and
represents standard deviation of data.
Upon substituting our given values in this formula we will get,

Therefore, height of the child with a z score of 1.5 will be 57.6 inches.