PERCENTILES AND Z-SCORES

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 high school, GPAs are normally distributed with a mean of 2.9 and a standard deviation of 0.6. Find the z-score of a GPA of 3.2? What percentile is this?

• z=0.5, 67th percentile

• z=0.5, 69th 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

The shelf life of a particular dairy product is normally distributed with a mean is 12 days and a standard deviation of 3 days. Find the z-score of a dairy product that has a shelf life of 14 days. What percentile is this?

• z=0.33, 50th percentile

• z=0.66, 75th percentile

• z=0.66., 84th percentile

Tags

CCSS.HSS.ID.A.4

Adam's Z-score on a test is +2.5.  What does this mean?

• He'd better start studying.
• He did better than EVERYONE.
• He scored 2.5 standard deviations above the average.
• He did terrible.

Tags

CCSS.HSS.ID.A.4

Joanne's Z-score is -1.5.  What does this mean?

• She didn't take the test yet.
• She scored 1.5 standard deviations below the average.
• She did better than most people.
• No clue

Jill's Z-score on the same test was a +3.0.  (average was 82 and SD was 4).  
What was her actual score?

• 85 %
• 79 %
• 94 %
• 40 %

If I tell you that you scored at the 55th percentile on your final exam, you would know:

• 55% of the class scored as good or worse than I did 
• I earned a 55% on the exam
• I failed the exam
• 45% of the class scored worse than I did 

Tags

CCSS.6.SP.A.2

CCSS.6.SP.B.5

Which colored curve has the lowest standard deviation?

• Orange
• Red
• Blue
• Green

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Anna and her brother are both 62 inches tall. Anna is in the 85th percentile for height for her age and her little brother is in the 90th percentile. Who is taller for their age?

• They're the same, both 62 inches.
• Anna, she's taller than more people. 
• Brother, he's taller than more people. 
• You can't tell if you don't know the mean and standard deviation. 

Tags

CCSS.6.SP.A.2

CCSS.6.SP.B.5