Heights of men on a baseball team have a bellshaped distribu

Heights of men on a baseball team have a bell-shaped distribution with a mean of 182 cm and a standard deviation of 7 cm. using the empirical rule, what is the aproximate percentage of the men between the following values?

a) 161 cm and 203 cm

b) 175 cm and 189 cm

Solution

a. 161 cm and 203 cm
(161-182)/7 = -3
(203-182)/7 = 3
---
Using Chybyshev, at least (1-(1/3)^2) = 0.8888.. = 89% of the data
lies between 161 and 203

b.
(175-182)/7 = -1
(189-182)/7 = +1
---
Using Chybyshev, at leas (1-(1/1)^2) = 0 = 0% of the data
lies between 175 and 189