Question

Given a mean of 7.6 and a standard deviation of 3.1 what is the z-score of the value 10 rounded to the nearest tenth ?

A)0.8
B)0.9
C)1.7
D)5.7

Answer 1

Answer: Choice A) 0.8

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Work Shown:

mean = mu = 7.6
standard deviation = sigma = 3.1
x = 10 is the raw score

Use those values to find the z score
z = (x-mu)/sigma
z = (10-7.6)/3.1
z = 2.4/3.1
z = 0.7741935483871
z = 0.8 (approximate answer to the nearest tenth, ie one decimal place)