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

Question

Heights of men on a baseball team have a bell-shaped distribution with a mean of 184 cm and a standard deviation of 9 cm. Using the empirical rule, what is the approximate percentage of the men between the following values? A. 175cm and 193cm B. 166cm and 202cm Heights of men on a baseball team have a bell-shaped distribution with a mean of 184 cm and a standard deviation of 9 cm. Using the empirical rule, what is the approximate percentage of the men between the following values? A. 175cm and 193cm B. 166cm and 202cm A. 175cm and 193cm B. 166cm and 202cm

Explanation / Answer

Using the empirical rule , it is known that between one sigma limits of mean contain 68% of data and between 2 sigma limits of mean 95% of the data lies.

Here 175 = mean-1sigma = 184-9 = 175

and 193 = mean +1 sigma = 184+9 = 193

there fore between 175 and 193 68% of the men lies.

Also

166 = mean-2sigma = 184-18 = 166

202 = mean+2sigma = 184+18 = 202

There fore 95% of the men lies between 166 and 202

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