RETEST-PERCENTILES, 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 = 38

Standard Deviation: 1.2

x = 42

• 3.33

• -3

• 3.03

• -3.33

Tags

CCSS.HSS.ID.A.4

Find the mean.

Z-score = -1.25

Standard Deviation: 4

x = 11

• 16

• 6

• 18

• 21

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

How to transform z-scores to X values for sample?

• X=μ+zσ

• X=M+zs

• μ=X+zσ

• σ(z)-M=s

Tags

CCSS.HSS.ID.A.4

CCSS.HSA.CED.A.4

CCSS.HSA.SSE.A.1

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

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

• True

• False

In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. Approximately 95% of molds filled by this machine will hold weights in what interval? 

• 1084 to 1216 pounds 
• 1106 to 1150 pounds 
• 1106 to 1194 pounds 
• 1128 to 1172 pounds

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

A 12 oz. can of soda has a mean volume of 12 oz, with a standard deviation of 0.25 oz. What is the percentile for a soda that only has 11.5 oz.?

• 3rd percentile

• 16th percentile

• 50th percentile

• 84th percentile

Tags

CCSS.HSS.ID.A.4

At a local high school, GPAs are normally distributed with a mean of 2.9 and a standard deviation of 0.6. If you have a GPA of 4.1, what is your percentile?

• 50th percentile

• 84th percentile

• 98th percentile

• 2.5 percentile

Tags

CCSS.HSS.ID.A.4