SOLUTION: A data set has a mean of x̄ = 77 and a standard deviation of 10.8 Find the z-score for each of the following: (a) x=85 (b) x=95 (c) x=50 (d) x=75

Algebra ->  Probability-and-statistics -> SOLUTION: A data set has a mean of x̄ = 77 and a standard deviation of 10.8 Find the z-score for each of the following: (a) x=85 (b) x=95 (c) x=50 (d) x=75      Log On


   

Question 1185223: A data set has a mean of x̄ = 77 and a standard deviation of 10.8
Find the z-score for each of the following:
(a) x=85
(b) x=95
(c) x=50
(d) x=75
Answer by MathLover1(20849) About Me  (Show Source):
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A data set has a mean of x̄ or mu+=+77 and a standard deviation of+delta=10.8
Find the z-score for each of the following:
z-score=(value-mean)/standard deviation
z-score=%28x-mu%29%2Fdelta

(a) x=85
z-score=%2885-77%29%2F10.8=0.74074074
(b) x=95
z-score=%2895-77%29%2F10.8=1.666
(c) x=50
z-score=%2850-77%29%2F10.8=-2.5
(d) x=75
z-score=%2875-77%29%2F10.8=-0.185