In a certain distribution, the mean is 50 with a standard deviation of 6 . Use Chebyshev's theorem to tell the probabilitythat a number lies in the following interval. Round your results to the nearest whole percent.
-Less than 26 or more than 74
A) At most $6 \%$
B) At most 7\%
C) At most $4 \%$
D) At most $10 \%$

Question

Quizplus · Accepted Answer

Chebyshev's theorem states that at least 1 - 1/k^2 of the data will fall within k standard deviations of the mean. In this case, we have k = (74 - 26) / 6 = 8. Therefore, at least 1 - 1/8^2 = 93% of the data will fall within the interval [26, 74].

In a Certain Distribution, the Mean Is 50 with a Standard