Hi all: If I have a dataset V of the size n*1. Assume that the mean of the dataset is 0 and var(V)=x is its variance. If I want to modify this dataset so that the variance of the new dataset will be var(V_hat)=y. The errors are spreaded average on each element in the dataset. What I did is first calculate the error which need to be speaded on each elements v_hat - v = delta = sqrt[(y-x)*(n-1) / n] (0) because var(V) = x = sum(v^2)/(n-1) (1) var(V_hat) = y = sum(v_hat^2)/(n-1) (2) (2)-(1) and rearrange I got the equation (0); However, this didn't give me the supposed answer. Could anyone point out what's the error in this or if there is any better methods please? Thanks a lot!!!