Heights of men on a baseball team have a bell-shaped distribution with a mean

# Heights of men on a baseball team have a bell-shaped distribution with a mean

H
200 points

Heights of men on a baseball team have a bell-shaped distribution with a mean of 186 cm and a standard deviation of 8 cm. Using the empirical rule, what is the approximate percentage of the men between the following values?

a. 162 cm and 210 cm

b. 178 cm and 194 cm

standard deviation
empirical rule

389.5k points

The empirical rule says that for data sets having a distribution that is approximately bell-shaped, the following properties apply.

• Approximately 68% of all values fall within 1 standard deviation of the mean.
• Approximately 95% of all values fall within 2 standard deviations of the mean.
• Approximately 99.7% of all values fall within 3 standard deviations of the mean.

a. the values are 3 standard deviations away from the mean, so the percentage of values within that range will be 99.7%

b. by similar reasoning the values are 1 standard deviation away from the mean -- or will contain 68% of the values.

Z
0 points

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