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The variance is the square of the standard deviation.
This question is equivalent to

can s = s^2
The answer is yes, but only in two cases.
If the standard deviation is 1 exactly, then so is the variance.
If the standard deviation is 0 exactly, then so is the variance.

If the standard deviation is anything else, then it is not equal to the variance.
You are not likely to find these special cases in practical problems, so from a practical sense, you should think that they are generally not equal.

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Q: Can standard deviation equals to variance?
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