About how many of these children are taller than 162 centimeters?

Question

Suppose the distribution of heights of a group of 200 children is normal, with a mean of 150 centimeters and a standard deviation of 12 centimeters. About how many of these children are taller than 162 centimeters?

Answer 1

162 cm is one standard deviation of 12 to the right of the mean of 150 for a normal distribution curve.

One standard deviation contains 34.1%, so the number of children less than 162 cm is

100 + .341(200) = 168.2. Those taller than 162 cm is 200-168.2 = 31.8 or about 32 children.