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What is the standard deviation of the following data? round your answer to two decimal...

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JHockey | (Level 3) eNoter

Posted September 12, 2013 at 8:09 PM via web

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What is the standard deviation of the following data? 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 8:39 PM (Answer #1)

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The standard deviation is the square root of the variance.  The variance is the average of the squared differences from the mean.

The mean (avg) = 14.8

So we'd find by:

`sqrt(((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)`

` `

Therefore, the standard deviation is :`sqrt(10.56)`

Standard Deviation = 3.25 rounded 2 places

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