Yes.
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Standard deviation can never be negative.
No. Neither the standard deviation nor the variance can ever be negative.
No. It is defined to be the positive square root of ((the sum squared deviation divided by (the number of observations less one))
to find percent deviation you divide the average deviation into the mean then multiply by 100% . to get the average deviation you must subtract the mean from a measured value.
If the percent of change is negative, then it is wrong.