Z-Scores & Standard Normal Probabilities

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 national achievement test is administered annually to 3rd graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is 1.20, what was her score on the test?

• 82
• 88
• 100
• 118

Tags

CCSS.HSS.ID.A.4

CCSS.HSA.REI.B.3

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees.  What is the z-score for a temperature of 17 degrees?  

• 1 
• 1.43
• -1.43
• 11.5

Tags

CCSS.HSS.ID.A.4

Your latest test score had an average of 80 with a SD of 8 points.  
If you got a 96, what is your Z-score?

• -2.0
• 16%
• +2.0
• pi

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 on a test 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

The average temperature in a month was 65 degrees with a standard deviation of 2 degrees. what does a negative z-score indicate?

• the temperature was below 65 degrees.

• the temperature was above 65 degrees.

• the temperature was 65 degrees.

• the answer cannot be determined.

The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds.  What is the z-score for a player who runs a time of 5.6 seconds?

• -1.33
• 1.33
• 0.88
• 1.02

What does the area under the normal distribution curve represent?

• Probability

• Nothing

• Z scores

• Inflection Points

Find the value for 
P(Z < -0.39)

• 0.3498
• 0.3483
• 0.3501
• 0.6502