Calculating z-scores

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

• 2.26

• 16.45

• -2.26

• 1.26

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

• 0.77

• 5.33

• 1.07

• 1.26

Find the Z-score.

Mean = 27

Standard Deviation: 1.4

x = 11

• -11.43

• 7.85

• -2.33

• 4.16

Find the z-score.

{1, 9, 16, 7, 2, 23}

x = 5

• -0.61

• +0.61

• 3.2

• -2.1

Find the z-score.

{23, 15, 4, 11, 1, 29, 3, 17}

x = 30

• 1.82

• 5.3

• -6.5

• 8.2

Find the z-score.

{7, 9, 9, 12, 5, 3, 15, 8}

x = 2

• -1.86

• 5.3

• 2.34

• -5.3

What is the formula to find the z-score for population?

• z=X-M

• z=σ-M/μ

• ^z/M=μ

• z=X-μ/σ

What is the purpose of z-scores?

• to describe the exact location of a score within a distribution

• to find the mean of the distribution

• to describe the shape of the distribution

• to find the standard deviation of the distribution

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

• True

• False

Find the z-score value corresponding if the location is below the mean by 2 standard deviations

• +2.00

• -2.00

• +1.25

• -1.00