My data set is the first 10,000 digits of Pi, and I want to know if they are psuedo-random numbers.

My idea is that I seperate the data into 10 inteveralls of 1000 digits, and find their corresponding mean.

I believe, that if the data is truly psuedo-random, then those 10 sample means should be relatively the same.

Is my line of thinking correct?

Thank you