Question

What is the standard deviation?

8, 10, 12,14,16,18,20

PLEASE show work

Answer 1

4

Explanation:

The given data is :

8, 10, 12,14,16,18,20

We need to find the standard deviation. Here,

Count = 7

Sum, Σx: 98

Mean, μ: 14

The standard deviation is given by :

`\sigma=\sqrt{(1)/(N)\Sigma(x_i-\mu)^2}`

or

`\sigma^2=(1)/(N)\Sigma(x_i-\mu)^2\\\\=((8-14)^2+...+(20-14)^2)/(7)\\\\=(112)/(7)\\\\\sigma^2=16\\\\\sigma=4`

So, the standard deviation of the given data is 4.