SOLUTION: According to Chebyshev's theorem, what proportion of a distribution will be within k = 4 standard deviations of the mean? Show all work as to how to find this.

Algebra ->  Probability-and-statistics -> SOLUTION: According to Chebyshev's theorem, what proportion of a distribution will be within k = 4 standard deviations of the mean? Show all work as to how to find this.      Log On


   



Question 888655: According to Chebyshev's theorem, what proportion of a distribution will be within k = 4 standard deviations of the mean? Show all work as to how to find this.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
By Chebyshev's theorem, at most 1/4^2 = 1/16 of the population is greater than 4 standard deviations.

Therefore at least 15/16 of the population is within 4 standard deviations.