The heights of the adults in one town have a mean of 66.8 inches and a standard deviation of 3.4 inches. What can you conclude from Chebyshev's theorem about the percentage of adults in the town whose heights are between 60 and 73.6 inches?
A) The percentage is at least 95%
B) The percentage is at most 75%
C) The percentage is at least 75%
D) The percentage is at most 95%

Question

Quizplus · Accepted Answer

Chebyshev's theorem states that for any distribution, at least (1 - 1/k^2) of the data falls within k standard deviations of the mean. Here, k = (73.6 - 66.8) / 3.4 = 2, so at least 1 - 1/2^2 = 75% of the data falls within this range.

The Heights of the Adults in One Town Have a Mean