Question

The standard deviation of the set 10, 20, 20, 20, 20, 20, 30

Answer 1

the standard deviation of the set 10,20,20 20,20,20,30 - Bing https://swky.co/PshehM

Answer 2

Answer:

We do not need to work this out till the very end.

A: average= 20. x-average= -10,0,10 respectively. Square the differences- 100, 0, 100. Average of the squared differences- 200/3. Standard deviation= sqroot (200/3)

B: average=20. x-average= -10, 0,0,0,0,0, 10 respectively. Square the differences- 100, 0,0,0,0,0,100. Average of squared differences- 200/7. Standard deviation= sqroot(200/7).

Since denominator of A is smaller than that of B, A will be the larger value.

I also understand this is a very time consuming, tedious, long method. So if someone has a quicker way, please help