What is the standard deviation of {4, 6, 3, 7, 1, 3, 7, 8, 3, 6, 2, 5}?

1 Answer
Jan 22, 2016

First find the mean using the formula:
#m = x_1 + x_2 +x_3 +cdots + x_(n-1) + x_n #
which can be written as
#1/nsum_(i=1)^n x_i # where #x_i# is the ith entry of your data above.
For you case #n= 12; m = 1/12sum_(i=1)^12 x_i #
Now that you have the mean the standard deviation is:
#S = sqrt(1/12sum_(i=1)^12(x_i-m)^2 #

I think you should practice in calculating the mean and standard deviation by finishing it yourself. Just plug the numbers.
Good luck!