Z-Scores Word Problems Practice

A test is given that has a mean of 70 and a standard deviation of 13. If a student's Z-score is +1, the student's score before conversion was:

• 70
• 83
• 57
• Cannot be determined from the information given.

Tags

CCSS.HSS.ID.A.4

Find the area under the standard normal curve between z = -2.55 and z = 1.08. 

• 0.8545
• 0.7560
• 0.3110
• 0.2140

Find the area under the standard normal curve to the right of z =1.36.

• 0.0869
• 0.9962
• 0.0008
• 0.1234

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 %

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

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 

• -5
• -2
• 2
• 5

Tags

CCSS.HSS.ID.A.4

Yearling Angus steers had a mean weight of 1152 pounds with a standard deviation of 84 pounds. What's the actual weight of an animal whose z-score is - 1.5?

• 1026 pounds
• 1278 pounds
• 1020 pounds
• 1050 pou

Tags

CCSS.HSS.ID.A.4

An incoming freshman took her college's placement exams in French and mathematics. In French, she scored 82 and in math 86. The overall results on the French exam had a mean of 72 and a standard deviation of 8, while the mean math score was 68, with a standard deviation of 12. On which exam did she do better compared with the other freshmen?

• French exam
• Math exam

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

Find the value for
P( -2.01 < Z < 0.88)

• 0.7884
• 0.2116
• 0.0222
• 0.1984

Tags

CCSS.HSS.ID.A.4

Find the value of k
P(Z> k) = 0.2327

• 0.73
• -0.73
• 0.27
• -0.27

Tags

CCSS.HSS.ID.A.4