Respuesta :
Answer:
The sample mean (x⁻ ) is the point of estimate of the Population mean
x⁻ = 7.7
The sample standard deviation (S) is the point of estimate of the Population standard deviation
S = 3.65
Step-by-step explanation:
Step(i):-
Given data 12 7 6 3 5 12 9 10 11 2
Mean of the data
[tex]x^{-} = \frac{12+7+6+3+5+12+9+10+11+2}{10} = 7.7[/tex]
x : 12 7 6 3 5 12 9 10 11 2
x-x⁻ : 4.3 -0.7 -1.7 -4.7 -2.7 4.3 1.3 2.3 3.3 -5.7
(x-x⁻ )² : 18.49 0.49 2.89 22.09 7.29 18.49 1.69 5.29 10.89 32.49
Step(ii):-
Standard deviation of the sample
[tex]S^{2} = \frac{sum (x-x^{-})^{2} }{n-1} = \frac{120.1}{10-1} = 13.344[/tex]
Standard deviation of the sample
S = √13.344 =3.65
Final answer:-
The sample mean (x⁻ ) is the point of estimate of the Population mean
x⁻ = 7.7
The sample standard deviation (S) is the point of estimate of the Population standard deviation
S = 3.65
