Question

Heights of men on a baseball team have a​ bell-shaped distribution with a mean of 179 cm and a standard deviation of 7 cm.

Using the empirical​ rule, what is the approximate percentage of the men between the following​ values?

a. 172 cm and 186 cm

b. 165 cm and 193 cm

Answer 1

Heights of men on a baseball team have a​ bell-shaped distribution with a mean of 179 cm and a standard deviation of 7 cm.

Using the empirical​ rule, what is the approximate percentage of the men between the following​ values?

the empirical rule shows that 68% will fall within the first standard deviation, 95% within the first two standard deviations, and 99.7% will fall within the first three standard deviations of the distribution's average.

a. 172 cm and 186 cm

172 and 186 are mean±1 sd values

Therefore approximately 68 percentage of the men between172 cm and 186 cm.

b. 165 cm and 193 cm

165 and 193 are mean±2 sd values

Therefore approximately 95 percentage of the men between165 cm and 193 cm