According to Chebyshev's Theorem, at least what percent of the observations lie within plus and minus 1.75 standard deviations of the mean?
A)56%
B)95%
C)67%
D)100%

Question

Quizplus · Accepted Answer

Chebyshev's Theorem states that for any data set, at least 1 - (1/k^2) of the observations will lie within k standard deviations of the mean, where k is any positive number greater than 1. Therefore, for k = 1.75, at least 1 - (1/1.75^2) = 1 - 0.327 = 0.673 or 67.3% of the observations will lie within plus and minus 1.75 standard deviations of the mean. Therefore, the best choice is C.

According to Chebyshev's Theorem, at Least What Percent of the Observations