Calculating Z-Scores

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

• 2.26

• 16.45

• -2.26

• 1.26

Tags

CCSS.HSS.ID.A.4

Find the Z-score.

Mean = 21

Standard Deviation: 1.3

x = 22

• 0.77

• 5.33

• 1.07

• 1.26

Tags

CCSS.HSS.ID.A.4

Find the z-score.

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

x = 5

• -0.61

• +0.61

• 3.2

• -2.1

Tags

CCSS.HSS.ID.A.4

Find the z-score.

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

x = 30

• 1.82

• 5.3

• -6.5

• 8.2

Tags

CCSS.HSS.ID.A.4

Find the z-score.

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

x = 30

• 1.82

• 5.3

• -6.5

• 8.2

Tags

CCSS.HSS.ID.A.4

What is the Z-score for Paula if she got 1400 on the SAT, the mean was 1100 and the standard deviation was 275?

• -1.90

• -1.09

• +1.09

• +1.90

Tags

CCSS.HSS.ID.A.4

Adam's Z-score on a test is +2.50. What does this mean?

• Adam's score has a 2.5% chance of being better than any other randomly selected score.

• Adam's test score was better than 25% of his peers.

• He scored 2.5 standard deviations above the average.

• He did terrible.

Tags

CCSS.HSS.ID.A.4

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

• $z=x-\mu$

• $z=\frac{\sigma-\mu}{x}$

• $z=\frac{\sigma}{\sqrt{n}}$

• $z=\frac{x-\mu}{\sigma}$

Tags

CCSS.HSS.ID.A.4

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

Tags

CCSS.HSS.ID.A.4

The mean of the z-score will always be zero even though the raw scores is 100

• True

• False