Question

In the Data set below, what is the standard deviation? 4 2 8 5 7

Answer 1

Answer:

The standard deviation of the given data set

 σ =  2.135

Step-by-step explanation:

Step(i):-

Given numbers are 4 2 8 5 7

Mean of the numbers

 $= \frac{4+2+8+5+7}{5}$

= 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  = $\sqrt{ \frac{1.44+10.24+7.84+0.04+3.24}{5}}$

            σ =  2.135