Answer:
The standard deviation of given data is 12.36
Step-by-step explanation:
We are given the following data in the question:
40, 12, 17, 25, 9, 46, 13, 22, 16,7
Formula:
where
are data points,
is the mean and n is the number of observations.
Sum of squares of differences =
372.49 + 75.69 + 13.69 + 18.49 + 136.89 + 640.09 + 59.29 + 1.69 + 22.09 + 187.69 = 1528.1
![\sigma = \sqrt{\dfrac{1528.1}{10}} = 12.36](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B%5Cdfrac%7B1528.1%7D%7B10%7D%7D%20%3D%2012.36)
Thus, the standard deviation of given data is 12.36