The weights in pounds of a group of people are ... - SS2 Economics Measures of Dispersion Question

The weights (in pounds) of a group of people are 150, 140, 165, 180, 130, and 170. What is the variance of the weights?

The mean weight is (150+140+165+180+130+170)/6 = 157.5

The squared differences between each weight and the mean are: (150-157.5)², (140-157.5)², (165-157.5)², (180-157.5)², (130-157.5)², and (170-157.5)²

The average of these squared differences is (49.5² + 17.5² + 7.5² + 506.252 + 688.522+ 12.5²)/6 = 791.25.

Therefore, the variance is 791.25.

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