Heights of men on a baseball team have a bell-shaped distribution with a mean of 166 cm 166 cm and a standard deviation of 5 cm 5 cm. using the empirical rule, what is the approximate percentage of the men between the following values? a. 156 156 cm and 176 176 cm b. 151 151 cm and 181 181 cm

95 %

99.7 %

Explanation:

= 166 cm = Mean

= 5 cm =  Standard deviation

a) 156 cm and 176 cm

From the empirical rule 95% of all values are within 2 standard deviation of the mean, so about 95% of men are between 156 cm and 176 cm.

b) 151 cm and 181 cm

The empirical rule tells us that about 99.7% of all values are within 3 standard deviations of the mean, so about 99.7% of men are between 151 cm and 181 cm.

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