Jim Gym, a high school basketball coach, wants to analyze the height of the boys at his school. He knows their height is normally distributed so he can use the standard normal distribution. He measures the height of 100 randomly selected boys. Next, he calculates the mean and standard deviation of their heights. The mean is 66 inches and the standard deviation is 5 inches. Jim uses the normal distribution table to calculate the number of boys in each segment of the distribution. Standard Deviation Percentage from table Number of boys out of 100
-2 to -1 (
to 61 inches)
% 14
-1 to 0 (61 to
inches) 34.1%
0 to +1 (66 to 71 inches)
%
+1 to +2 (71 to
inches) 13.6 %