Question

What is the standard deviation?

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

PLEASE show work

Answer 1

Answer:

4

Step-by-step 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 :

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

or

$\sigma^2=\dfrac{1}{N}\Sigma(x_i-\mu)^2\\\\=\dfrac{(8-14)^2+...+(20-14)^2}{7}\\\\=\dfrac{112}{7}\\\\\sigma^2=16\\\\\sigma=4$

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