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Finding Z - Score

Total questions: 13

Worksheet time: 53mins

Name
Class
Date
1.

What is the correct formula for finding z-scores?

a)

z=xμσz=\frac{x-\mu}{\sigma}

b)

z=μxσz=\frac{\mu-x}{\sigma}

c)

Sx=xμσS_x=\frac{x-\mu}{\sigma}

2.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

3.

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

a)

0.77

b)

5.33

c)

1.07

d)

1.26

4.

Find the Z-score.

Mean = 27

Standard Deviation: 1.4

x = 11

a)

-11.43

b)

7.85

c)

-2.33

d)

4.16

5.

Find the z-score.

Mean = 38

Standard Deviation: 1.2

x = 42

a)

3.33

b)

-3

c)

3.03

d)

-3.33

6.

Find the z-score.

Mean = 45

Standard Deviation: 2.1

x = 50

a)

2.38

b)

3.00

c)

3.08

d)

2.33

7.

Find the z-score.

Mean = 40

Standard Deviation: 1.4

x = 42

a)

1.43

b)

1.28

c)

-1.4

d)

1.24

8.

Find the z-score.

Mean: 22.8

Standard Deviation: 7

x = 20

a)

-0.4

b)

17.2

c)

22.04

d)

32.5

9.

Find the z-score.

Mean = 25

Standard Deviation: 7

x = 9.6

a)

-2.2

b)

-36

c)

5.2

d)

23.46

10.

Find the z-score.

Mean: 16

Standard Deviation: 4

x = 11

a)

-1.25

b)

+1.25

c)

16

d)

21

11.

Find the z-score.

Mean: 29.8

Standard Deviation: 7

x = 20

a)

-1.4

b)

10.2

c)

-21

d)

35

12.

What is the purpose of z-scores?

a)

to describe the exact location of a score within a distribution

b)

to find the mean of the distribution

c)

to describe the shape of the distribution

d)

to find the standard deviation of the distribution

13.

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

a)

True

b)

False