Question

the heights of 3 - year - old females are normally distributed with a mean of 38 inches and a standard deviation of 1.8 inches. half of all 3 - year - old females are shorter than
38 inches
36.2 inches
38.9 inches
cannot be determined because we do not know the median height
39.8 inches

Explanation:

Step1: Recall property of normal distribution

In a normal distribution, the mean, median, and mode are equal.

Step2: Analyze the problem

We are given a normal distribution of heights with mean \(\mu = 38\) inches. Since half of the data lies below the median in any distribution, and for a normal distribution mean = median.

Answer:

38 inches