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If the standard deviation of a variable is 8, what is the variance?

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Final Answer:

The variance is 64.

Step-by-step explanation:

The variance is the square of the standard deviation. Thus, if the standard deviation is 8, the variance can be calculated as follows:

Variance = Standard deviation²

Variance = 8²

Variance = 64

In conclusion, the variance, which represents the spread of data points in a dataset, is determined to be 64. This value is obtained by squaring the standard deviation, which in this case is 8. The variance provides a quantitative measure of the dispersion of data, with a value of 64 indicating a relatively moderate level of variability within the dataset.

User Alex Worden
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