You find the mean of negative numbers the same way you find the mean of any numbers. You add them up and then you divide by the number of numbers.
An example, using -3, -4, -6, and -9. The sum is -22. N is 4. The mean is -5.5.
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Negative.
It had something to do with the gods
For most school mathematics, negative numbers do not have square roots. This is because a negative number multiplied by itself is a negative times a negative and so is positive. When (if) you study advanced mathematics, you will learn that there is a solution and this falls within the realms of complex mathematics and imaginary numbers.
Negative times negative equals positive. Positive times positive equals positive. Positive times negative equals negative. If you have more than two numbers, multiply the first two and then apply these rules to each successive number in turn.
If you include negative numbers, the list is infinite.