Question

For the following sample, use the computational formula to calculate SS. Then, compute the sample variance and standard deviation. Scores: 1, 3, 1, 1

Please type your answer so that I may easily re-type it..

Answer 1

S.No		X	(X-x̄)	(X-x̄)2
1		1	-0.500	0.25000
2		3	1.500	2.25000
3		1	-0.500	0.25000
4		1	-0.500	0.25000
Σx		6	Σ(X-x̄)2=	3.0000
x̄=Σx/n		1.500	s2=Σ(x-x̄)2/(n-1)=	1.00000
			s=√s2    =	1.0000

from above

SS =Σ(X-x̄)²=3.00

sample variance s² +SS/(n-1) =3/(4-1) =1

standard deviation s =√s² =1