The heights of the adults in one town have a mean of 67.1 inches and a standard deviation of 3.5 inches. What can you conclude from Chebyshev's theorem about the percentage of adults in the town whose heights are
Between 60.1 and 74.1 inches?
A) The percentage is at least 75%.
B) The percentage is at most 95%.
C) The percentage is at least 95%.
D) The percentage is at most 75%.

Question

Quizplus · Accepted Answer

Chebyshev's theorem states that for any data set, at least 1 - 1/k^2 of the data will fall within k standard deviations of the mean. In this case, we have a mean of 67.1 inches and a standard deviation of 3.5 inches. So, at least 1 - 1/2^2 = 75% of the data will fall within 2 standard deviations of the mean, which is between 60.1 and 74.1 inches.

The Heights of the Adults in One Town Have a Mean