The reason I ask is because I have some constant number which I want to compare to the representative value and uncertainty of the ensemble.

- Thread starter puma31
- Start date
- Tags chi square test hypothesis testing kolmagorov-smirnoff non normal distribution statistical analysis

The reason I ask is because I have some constant number which I want to compare to the representative value and uncertainty of the ensemble.

So currently all the ten data have a median value and 1-sigma errors which are asymmetric. What I want is a robust statistical representation of the ten data in the form of one data point. I can imagine that the median value for the representative point could just be the mean of the 10 median values of the data. But how do I then get the asymmetric errors on this point?

Thanks for the response. Can you be more specific?

if you have 10 distributions f1(x)...f10(x) and you have an estimate of the relative frequencies of when each distribution applies p1 ..p10 then you could have f(x)=SUM(pi*fi(x)) where SUM(pi)=1. Then use f(x) to calculate the mean of x or the median of x or, even better, the mode.

regards