Given min, mean, max and var of scores of several subjects
min mean max var Subject 01 X_01: 2 3 5 1 Subject 02 X_02: 2 4 7 2 ... Subject 30 X_30: 1 3 5 1
where it is assumed that each $X_i$ is normally distributed, but the $X_i$ are not necessarily identically distributed.
How can 95% confidence intervals for the aggregated statistics be computed? For example, the minimum has mean $(2+2+..+1)/30$. But what is its confidence interval? Same questions for the mean of all runs, the maximum of all runs, and the variation of all runs.
The amount of measurements taken per subject is not constant, but varies between, say, 80 en 100.
Quite likely this is a standard question in statistics. Therefore a couple of key words and pointers to the literature would probably do.