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April 1, 2023 by ktangen

Practice z Scores

Item 1

Calculate the z-score, assuming:

X = 10
mean = 50
stdev = 10

z score _____

 

Item 2

Calculate the z-score, assuming:

X = 80
mean = 50
stdev = 15

X – mean _____
z score _____

 

Item 3

Calculate the z-score, assuming:

X = 112
mean = 100
stdev = 15

X – mean _____
z score _____

 

Item 4

Calculate the raw score, assuming:

z = 1.5
mean = 115
stdev = 10

z * stdev _____
X _____

 

Item 5

Calculate the raw score, assuming:

z = -1.37
mean = 100
stdev = 20

z * stdev _____
X _____

 

Item 6

Calculate the raw score, assuming:

z = -1.37
mean = 100
stdev = 20

X _____

 

 

ANSWERS

Item 1

Calculate the z-score, assuming:
X = 10
mean = 50
stdev = 10
X – mean = – 40
z score = – 4.

Item 2

Calculate the z-score, assuming:
X = 80
mean = 50
stdev = 15
X – mean = 30
z score = 2.0

Item 3

Calculate the z-score, assuming:

X = 112
mean = 100
stdev = 15
X – mean = 12
z score = .80

Item 4

Calculate the raw score, assuming:
z = 1.5
mean = 115
stdev = 10
z * stdev = 15
X = 130

Item 5

Calculate the raw score, assuming:

z = -1.37
mean = 100
stdev = 20
z * stdev = 27.4
X = 72.6

Item 6

Calculate the raw score, assuming:
z =  2.54
mean = 80
stdev = 20
X = 130.8
2.54*20 = 50.8
50.8 + 80 = 130.8

Filed Under: Statistics

‘There are two great principles of psychology: people have a tremendous capacity to change, and we usually don’t.”   Ken Tangen

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