# 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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Expert Answers

baxthum8 | Certified Educator

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