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Given the sample 7,6,10,7,5,9,3,7,5,13, find the standard deviation.

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The standard deviation of the data 7,6,10,7,5,9,3,7,5,13 has to be determined.

The standard deviation of n values is `sqrt((sum(x - barx)^2)/(n - 1)) ` where `barx` is the mean.

First find the arithmetic mean, `barx = (7+6+10+7+5+9+3+7+5+13)/10 = 7.2`

Find the sum of the square of the difference of each term and the mean.

This is `0.2^2 + 1.2^2 + 2.8^2 + 0.2^2 + 2.2^2 + 1.8^2 + 4.2^2 + 0.2^2 + 2.2^2 + 5.8^2`

=> `368/5`

The standard deviation isĀ  `sqrt((368/5)/9) = sqrt(368/45)~~2.585968`

` `The standard deviation of the given terms is 2.85968

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