Question

Heights of women have a​ bell-shaped distribution with a mean of 156cm and a standard deviation of 5cm. Using​ Chebyshev's theorem, what do we know about the percentage of women with heights that are within 2standard deviations of the​ mean? What are the minimum and maximum heights that are within 2standard deviations of the​ mean?At least nothing​%of women have heights within 2standard deviations of 156cm.​(Round to the nearest percent as​ needed.)The minimum height that is within 2standard deviations of the mean is nothingcm.The maximum height that is within 2standard deviations of the mean is nothingcm.

Answer 1

At least (1-(1/3)^2)% = 89% of the data is within 3 std of the mean ....... ( The rest is not really needed) Minimum is 159-3*6 = 141 cm , maximum is 159 + 3*6 = 177 cm .At least 89 ​% of women have heights within 33 standard deviations of 159 cm. ​(Round to the nearest percent as​ needed.) The minimum height that is within 33 standard deviations of the mean is 141 cm. The maximum height that is within 33 standard deviations of the mean is 177 cm. ( This might help.)