find the population variance of the following sample 1661832

Solution

Mean of the above samle is = (16+16+18+3+25+22)/ 6 = 16.6667

As the sample size is too samll thus the population variance can be estimated in the following way

Estimated population variance = (16-16.667)^2 / (6-1) + (16-16.667)^2 / (6-1) +(18-16.667)^2 / (6-1) +(3-16.667)^2 / (6-1) + (25-16.667)^2 / (6-1) +(22-16.667)^2 / (6-1)

= 0.088889 + 0.088889 + 0.355556 + 37.55556 + 13.88889 + 5.688889

= 57.46667