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Anand Mehta said the answer is No. And here is why.

To find the SD, you subtract each term from the mean (and there will be some negative numbers) BUT then you have to square these amounts and that will get rid of any negatives. Then you find the sum and divide by the number of terms. The final step is to find the square root. The SD is the positive square root. So there is no way that you can get a negative number for the SD.

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Q: After computing the standard deviation for a set of measurements you notice your answer is negative. Is this possible?
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Is it possible for a standard deviation to be negative?

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