Z-Scores and Standard Normal Distribution

μ = 70 , σ = 8 , X = 50 . Find z score

• 2.5
• -2.5
• 5.2
• -5.2

Tags

CCSS.HSS.ID.A.4

Brian scored an 80% on a Chemistry Exam. The average on the exam was a 68%, with a standard deviation of 5%. What is Brian's z-score?

• 2.4

• -2.4

• 1.1

• -1.1

Tags

CCSS.HSS.ID.A.4

IQ tests have a mean of 100 and SD of 16. Einstein's IQ was 160. What is the z-score of his IQ?

• 1.75

• 3.75

• 0.75

• 2.75

Tags

CCSS.HSS.ID.A.4

Find the area under the standard normal curve that lies to the left of z=2.1.

• 1.79%

• -1.79%

• 98.21%

• 0.98%

Tags

CCSS.HSS.ID.A.4

Find the area under the standard normal curve that lies to the right of z=-0.67.

• 63.42%

• 74.86%

• 25.14%

• 50%

Tags

CCSS.HSS.ID.A.4

Find the area under the standard normal curve that lies between z=-0.5 and z=1.5.

• 62.46%

• 72.47%

• 5.40%

• 62.47%

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

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

• 68%
• 34%
• 16%
• 2.5%

Tags

CCSS.HSS.ID.A.4

Pat and Tom took a test with mean 80 and SD 9. Pat scored a 76; Tom scored a 94. Find the percent of people between their scores.

• 68.78%

• 63.29%

• 61.06%

• 34.25%

Tags

CCSS.HSS.ID.A.4

Test has a mean of 40 and a standard deviation of 10. What is the percent of people that scored above 62?

• 1.39%

• 45.34%

• 98.41%

• 22.34%

Tags

CCSS.HSS.ID.A.4