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What is the variance of the following data? If necessary, round your answer to two...

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emstavro | (Level 3) eNoter

Posted September 12, 2013 at 8:06 PM via web

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What is the variance of the following data? If necessary, round your answer to two decimal places.
10, 12, 15, 18, 11, 13, 14, 16, 19, 20

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baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted September 12, 2013 at 8:43 PM (Answer #1)

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To find the variance, first find the mean.

Mean is the average of the data:  14.8

Variance is the average of the squared differences from the mean.

So:

`((10-14.8)^2 + (12-14.8)^2 + (15-14.8)^2 + (18-14.8)^2 + (11-14.8)^2 + (13-14.8)^2 + (14-14.8)^2 + (16-14.8)^2 + (19-14.8)^2 + (20-14.8)^2) / 10`

The variance =  10.56

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