Question: Elena, a 15-year-old girl, is 58 inches tall. Based on what we know, the average height for girls at this age is 63.80 inches, with a standard deviation of 2.66 inches.
a. Calculate her z score.
b. What percentage of girls are taller than Elena?
c. What percentage of girls are shorter?
d. How much would she have to grow to be perfectly average?
e. If Sarah is in the 75th percentile for height at age 15, how tall is she? And how does she compare to Elena?
f. How much would Elena have to grow in order to be at the 75th percentile with Sarah?