Answer to Question #302744 in Statistics and Probability for love

Question

How many children belong to the upper 15% of the group?

Answer 1

Five hundred children participated in a field demonstration. Their heights averaged is 110 cm with a standard deviation of 6 cm. How many children belong to the upper 15% of the group?

Let $X=$ height of a child: $X\sim N(\mu, \sigma^2).$

Given $\mu=110\ cm, \sigma=6\ cm.$

$$500\cdot0.15=75$$

75 chidren belong to the upper 15% of the group.