how would you prove a random number generator produces only numbers 1-10 and they are truly random?

Question

how would you create an algorithm for this using mode/median/mean/and mid-range of 5.5? What is the statistically significant threshold for this? all I know is that it is far above 100.

Answer 1

The mean, median, and mid-range should be 5.5, that is correct.

There should be NO MODE!

If they are truly random, then each number has an equal change of being selected.

So the frequency table should show the same counts for each value D={1,2,3,4,5,6,7,8,9,10}

So in a sample of 1000 random integers in the range of this domain, there should be 100 each.

But if you see it is heavy on the 5s and 6s, somewhat less heavy on the 4s and 7s, then you

got a BELL CURVE (normal distribution)

If you have to make this random number generator yourself, you can do a clock call and read the

number of milliseconds found in the current time. Trig functions (sine and cosine)work well, too

especially for changing them to decimals, as you are guaranteed and number between -1 and 1.

cheers!