Question

22. Wegesin and Stern (2004) found greater consistency (less variability) in the memory performance scores for younger women than for older women. The following data represent memory scores obtained for two women, one older and one younger, over a series of memory trials. a. Calculate the variance of the scores for each woman. b. Are the scores for the younger woman more consistent (less variable)

Answer 1

The variance of the score for younger women is 0.6875 while that of the older women is 1.4844.

How to calculate the variance

From the complete question, the mean will be:

= (8 + 6 + 6 + 7 + 8 + 7 + 8 + 8) / 8

= 7.25

The variance will be:

= (8 - 7.25)² + (6 - 7.25)² + (6 - 7.25)² + (7 - 7.25)² + (8 - 7.25)² + (7 - 7.25)² + (8 - 7.25)² - (8 - 7.25)² / 8

= 0.6875

The mean of the older women will be:

= (7 + 5 + 8 + 5 + 7 + 6 + 8 + 5) / 8

= 6.375

The variance will be gotten by subtracting the mean from each value and doing it exactly as above. This will be 1.4844.

Lastly, since the variance for younger women is less than that of the older women, the score for younger women is less consistent.

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