Statistics Question

Question

The actual volumes of quart-size bottles of Heinz Ketchup are uniformly distributed from 31.46 to 32.6 fluid ounces. Find the standard deviation in volumes of quart-size Heinz Ketchup bottles (in fluid ounces). NOTE: There are 32 fluid ounces in a quart.

Answer 1

The formula for the variance is fairly easy to derive. Your starting point would be:

Var(X) = E(X²) - [E(X)]²

Most likely, the formula for the variance is given to you and you are expected to memorize it.

Standard deviation is the square root of the variance.

If you want to see the derivation, I could do that. But otherwise you just need to apply the formula. Give it a try. Post your answer and we'll check it.