If the average low temperature of a winter month in Rocheste

If the average low temperature of a winter month in Rochester, NY, is 13Degree and the standard deviation is 5.2 then according to Chebyshev\'s theorem, the percentage of average low temperatures in Rochester, NY, between -2.6 Degree and 28.6Degree is %.

Solution

As we can see, both -2.6 and 28.6 are 3 standard deviations (3*5.2 = 15.6) above and below the mean (13).

Thus, by Chebyshev\'s theorem, at least

1 - 1/k^2 = 1 - 1/3^2 = 0.888889 = 88.8889% [ANSWER]

is between -2.6 and 28.6.