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# If the standard deviation of a distribution is 9, then the variance of the distribution is?

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- PuzzlingLv 710 months ago
Remember the relationship between variance and standard deviation.

s.d. = √var

In your case, the standard deviation is 9, so the variance must be 81. If it unclear, you can write the equation above as:

var = (s.d.)²

When you calculate standard deviation by hand, you usually go through the steps and end up with the variance. Then the last step is to take the square root to get the standard deviation. Having done this many times, I don't even have to think to know that if the standard deviation is 9, I must have calculated a variance of 81.

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- Iggy RockoLv 710 months ago
variance = standard deviation squared = 9^2 = 81

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- husoskiLv 710 months ago
It's 81. The standard deviation is the square root of the variance, so variance is the square of standard deviation. 9^2 = 81.

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