Question

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

Answer 1

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`