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
[tex]= \frac{4+2+8+5+7}{5}[/tex]
= 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 = [tex]\sqrt{ \frac{1.44+10.24+7.84+0.04+3.24}{5}}[/tex]
σ = 2.135
