What is the standard deviation of {44, 46, 33, 10, 50, 27}?

1 Answer
Feb 18, 2016

Standard Deviation is #5.578#

Explanation:

Before we find Standard Deviation, let us find mean of #{44, 46, 33, 10, 50, 27}#. This is simply #(44+46+33+10+50+27)/6# or #210/6# or #35#.

Next find deviations of the terms from mean, which are #{9, 11, -2, -25, 15, -8}#.

Standard deviation is nothing but square root of the (average of squares of these deviations. Hence Standard Deviation is

#sqrt((81+121+4+625+225+64)/6)# or #sqrt1120/6# or

#33.4664/6# or #5.578#