Answer:
a) 3.16
Step-by-step explanation:
Explanation:-
Given sample size 'n' =4
mean of x⁻ = ∑x / n
= [tex]\frac{13+14+17+20}{4} = \frac{64}{4} =16[/tex]
x⁻ = 16
Given data
x 13 14 17 20
x - x⁻ -3 -2 1 4
(x-x⁻)² 9 4 1 16
∑(x-x⁻)² = 9 + 4 + 1 +16 =30
The sample Variance
S² = ∑(x-x⁻)²/n-1
[tex]S^{2} = \frac{30}{4-1} = \frac{30}{3} =10[/tex]
The standard deviation of the sample
S = √10 = 3.1622 ≅3.16
