Given the results of a number of runs,

     X: min mean max var
Run 01:   2    3   5   1
Run 02:   2    4   7   2
...
Run 30:   1    3   5   1

where it is assumed that X is normally 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.

Quite likely this is a standard question in statistics. Therefore a couple of key words and pointers to the literature would probably do.