Given a set of data with a mean of 150 and a standard deviation of 20.Using Chebyshev's Theorem,what is the minimum percentage of data between 110 and 190?
A)95.44%
B)93.75%
C)68.26%
D)75.00%
E)98.75%

Question

Quizplus · Accepted Answer

Chebyshev's Theorem states that at least (1 - 1/k^2) of the data lies within k standard deviations of the mean. Here, k = 2 (since 190-150 = 40 and 150-110 = 40, which is 2 standard deviations of 20). So, at least (1 - 1/2^2) = 75% of the data lies between 110 and 190.

Given a Set of Data with a Mean of 150