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What numbers have opposites that are the same as their absolute values?
All numbers have opposites that are the same as their absolute values.
What is the mean absolute deviation of 2 3 5 4 9 4 3?
Absolute deviation from what?
Do absolute values always have two answers?
An absolute value doesn't have 2 answers. It isn't even a question. It's always positive.
What is the arithmetic mean of the absolute values of the deviations of the individual values from the mean in a data set?
It is the mean absolute deviation.
Is the absolute value of the sum of two numbers equal to the sum of the absolute values of the numbers?
NO! abs(2-2)=0 NOT equal to abs(2)+abs(-2)=4 - The above is technically correct, though the more thorough answer is as follows; no because the absolute value of the sum is LESS THEN OR EQUAL TO the sum of the absolute values. The simple proof the the fact that |A+B|<=|A|+|B| is called the triangular inequality. When A and B (or for that matter an infinite number of them) are both positive (or all) or both negative (or all) then they inequality is actually equal, if however any of the numbers have different signs then any other number, the inequality is less then.
