Question 735169
Heights of men on a baseball team have a bell shaped distribution with a mean of 168 cm and a standard deviation of 5 cm. Using the empirical rule, what is the approximate percentage of the men between the following values? 
a. 153 cm and 183 cm
(153-168)/5 = -3
(183-168)/5 = 3
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Using Chybyshev, at least (1-(1/3)^2) = 0.8888.. = 89% of the data
lies between 153 and 183
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b. 158 cm and 178 cm
(158-168)/5 = -2
(178-168)/5 = +2
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Using Chybyshev, at leas (1-(1/2)^2) = 0.75 = 75% of the data
lies between 158 and 178
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Cheers,
Stan H.
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