Question

1.A sample consists of the following n = 5 scores: 8, 4, 10, 0, 3. (2 pts)

Compute the mean and standard deviation for the sample.

b)Find the z-score for each score in the population from exampl

Answer 1

	Values ( X )	Σ ( Xi- X̅ )2
	8	9
	4	1
	10	25
	0	25
	3	4
Total	25	64

Mean X̅ = Σ Xi / n
X̅ = 25 / 5 = 5

Sample Standard deviation S_X = √ ( (Xi - X̅ )² / n - 1 )
S_X = √ ( 64 / 5 -1 ) = 4

Part b)

Z = ( X - µ ) / σ
Z = ( 8 - 5 ) / 4
Z = 0.75

Z = ( X - µ ) / σ
Z = ( 4 - 5 ) / 4
Z = -0.25

Z = ( X - µ ) / σ
Z = ( 10 - 5 ) / 4
Z = 1.25

Z = ( X - µ ) / σ
Z = ( 0 - 5 ) / 4
Z = -1.25

Z = ( X - µ ) / σ
Z = ( 3 - 5 ) / 4
Z = -0.5