The following relative frequency distribution was constructe

The following relative frequency distribution was constructed from a population of 200. Calculate the population mean, the population variance, and the population standard deviation. (Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.) Class Relative Frequency 20 up to 10 0.35 10 up to 0 0.20 0 up to 10 0.40 10 up to 20 0.05 Population mean Population variance Population standard deviation

Solution

Consider:

Thus,  
  
E(x) = Expected value = mean =    -3.5 [ANSWER, MEAN]

Var(x) = E(x^2) - E(x)^2 =    92.75 [ANSWER, VARIANCE]

s(x) = sqrt [Var(x)] =    9.630680142 [ANSWER, STANDARD DEVIATION]