Question

In the Data set below, what is the standard deviation?

4 2 8 5 7

Answer 1

The standard deviation of the given data set

σ = 2.135

Explanation:

Step(i):-

Given numbers are 4 2 8 5 7

Mean of the numbers

`= (4+2+8+5+7)/(5)`

= 5.2

The mean of the numbers (μ) = 5.2

Step(ii):-

x : 4 2 8 5 7

x-μ : -1.2 -3.2 2.8 -0.2 1.8

(x-μ)² : 1.44 10.24 7.84 0.04 3.24

The standard deviation of the given data

σ = √Σ( x-μ)² / N

σ =
`\sqrt{ (1.44+10.24+7.84+0.04+3.24)/(5)}`

σ = 2.135