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May 29th, 2017, 02:33 PM   #1
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Correlations Between Groups of Random Numbers

I generated 10 sets of 10 random whole numbers from 1 to 10 where each number can have any frequency. I then made 10 C 2 = 45 pairs of 2 sets and I calculated the correlation between each pair. The average of the correlations was -.0602, which is close to 0 like I expected. I also took the absolute value of each correlation and calculated the mean of the 45 absolute values, which was .3064. Are there any facts about what correlations to expect between random numbers? For example, if I did this 100 times is there an expected amount of times the mean of the absolute values would be between 0.25 and 0.35 or any other range I picked?
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