Question

Standard deviation of 5,10,25,30,50?

Answer 1

See a solution process below:

Explanation:

1) Work out the Mean (the simple average of the numbers)

(5 + 10 + 25 + 30 + 50)/5 = 120/5 = 24#

2) Then for each number: subtract the Mean and square the result.

`5 - 24 = -19`; `-19^2 = 361`

`10 - 24 = -14`; `-14^2 = 196`

`25 - 24 = 1`; `1^2 = 1`

`30 - 24 = 6`; `6^2 = 36`

`50 - 24 = 26`; `26^2 = 676`

3) Then work out the mean of those squared differences.

`(361 + 196 + 1 + 36 + 676)/5 = 1270/5 = 254`

4) Take the square root of that and we are done!

`sqrt(254) = 15.9` rounded to the nearest tenth.