Z Scores & Standard Normal Distribution

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

Tags

CCSS.HSS.ID.A.4

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

What is the probability that a score is under (left of) .73?

• .7357

• .7673

• .7389

• .7967

Tags

CCSS.HSS.ID.A.4

What is the probability that a score is under (left of) 1.73?

• .9484

• .9664

• .9573

• .9582

Tags

CCSS.HSS.ID.A.4

What is the probability that a score is under (left of) 2.37?

• .9911

• .9913

• .9916

• .9936

Tags

CCSS.HSS.ID.A.4

What is the probability that a score is above (right of) 2.37?

• .0116

• .0089

• .0068

• .0051

Tags

CCSS.HSS.ID.A.4

What is the z-score that corresponds to 80.23% of the data to the left?

• .86

• .85

• .83

• .80

Tags

CCSS.HSS.ID.A.4

What is the z-score that corresponds to 95.73% of the data to the left?

• 1.52

• 1.62

• 1.72

• 1.82

Tags

CCSS.HSS.ID.A.4

What is the probability that a score will fall between 1.12 and 1.94 standard deviations?

• .0905

• .1052

• .0850

• .0672

Tags

CCSS.HSS.ID.A.4