Answer:
1 ; 1.25 ; 0.25 ; - 0.75 ; - 1.25 ;- 0.5
Step-by-step explanation:
Given the sample observations : 15, 16, 12, 8, 6, 9
Zscore for each sample Observation :
Zscore = (x - mean) / standard deviation
(15 + 16 + 12 + 8 + 6 + 9) / 6 = 11
Mean value (m) = 11
Standard deviation (s) = 5
Sqrt[(x - m)^2 / (n - 1)]
[(15-11)^2 + (16-11)^2 + (12-11)^2 + (8-11)^2 + (6-11)^2 + (9-11)^2] / (6 - 1)
= 80/5 = 16
Sqrt(16) = 4
Zscore = (x - mean) / standard deviation
x = 15
Zscore = (15 - 11) / 4 = 1
x = 16
Zscore = (16 - 11) / 4 = 1.25
x = 12
Zscore = (12 - 11) / 4 = 0.25
x = 8
Zscore = (8 - 11) / 4 = - 0.75
x = 6
Zscore = (6 - 11) / 4 = - 1.25
x = 9
Zscore = (9 - 11) / 4 = - 0.5
