Z Scores

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

• True

• False

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

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.

Mean = 27

Standard Deviation: 1.4

x = 11

• -11.43

• 7.85

• -2.33

• 4.16

Tags

CCSS.HSS.ID.A.4

Find the Z-score.

Mean = 27

Standard Deviation: 1.4

x = 11

• -11.43

• 7.85

• -2.33

• 4.16

Find the z-score.

Mean = 38

Standard Deviation: 1.2

x = 42

• 3.33

• -3

• 3.03

• -3.33

Tags

CCSS.HSS.ID.A.4

A standardized test for determining entry to the placement in the math program at a school has an average score of 230 with a standard deviation of 25. The scale is as follows

at or below two deviations: intervention track

at or below one deviation: remedial track

within one standard deviation: normal track

at or above one deviation: advanced track

at or above two deviations: gifted track

If Raul scored a 275, what track would he be placed on?

• intervention

• remedial

• normal

• advanced

• gifted

Tags

CCSS.HSF-LE.A.1B

A standardized test for determining entry to the placement in the math program at a school has an average score of 230 with a standard deviation of 25. The scale is as follows

at or below two deviations: intervention track

at or below one deviation: remedial track

within one standard deviation: normal track

at or above one deviation: advanced track

at or above two deviations: gifted track

If Joe scored a 276, what is his z-score and which track should he be placed in?

• 11.04 gifted track

• 1.84 advanced track

• 9.2 gifted track

• 1.84 gifted track

Tags

CCSS.HSS.ID.A.4

The average waist size for teenage males is 29 inches with a standard deviation of 2 inches. 
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.  

• 2
• 1
• -2
• -1

Tags

CCSS.HSS.ID.A.4