Question

The average score on a pre-employment test is 26 with a standard deviation of 7. Using Chebyshev’s Theorem, state the range in which at least 88.89% of the data will reside.

Answer 1

Chebyshev's theorem states that let X be a random variable with finite expected value and finite non-zero variance . Then for any real number k > 0.

Which is same as

Now the data is given to be 88.89%,

So we have

Now,

Therefore the range is

That can be written as (5 , 47)