Multiple choice

If the mean of a distribution is 25 and the sum of squares of deviations from the mean is 500, what is the variance for 10 observations?

  1. 50

  2. 25

  3. 100

  4. 5
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A Correct answer
Explanation

Variance = (Sum of squares of deviations) / N. Variance = 500 / 10 = 50.

AI explanation

The formula for population variance is the sum of squared deviations from the mean divided by the total number of observations. Substituting the given values gives a variance of 500 divided by 10. This calculation results in a variance of 50.

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