## anonymous 3 years ago how would you calculate the population variance of a data set given a normal distribution with 45 data points, a mean of 15, median of 15 and sample variance of 7.5?

1. anonymous

the difference between sample variance and pop variance is you divide by N-1 and N respectively Let X be sum of squared deviations $\frac{X}{N-1} = 7.5$ where N = 45 $X = (7.5)(44)$ so pop variance is X/N $\frac{X}{45} = \frac{(7.5)(44)}{45}$

2. anonymous

Thank you, that makes sense now. I was trying to make it much more difficult than it actually is.