Question 1

Jorge scored 70 on an exam and his z-score was -2.00. Michelle scored 82 on the same test and her z-score was +1.00. What was the mean of the exam?

Accepted Answer

A)  74 
B)  78 
C)  84 
D)  Not enough information is provided.

Question 2

Which of the following z-scores is furthest away from the mean?

Accepted Answer

A)  -1.00 
B)  0 
C)  -.50 
D)  +2.00

Question 3

Which of the following statistics would be helpful for comparing the scores from two different distributions?

Accepted Answer

A)  range 
B)  interquartile range 
C)  standard deviation 
D)  z-score

Question 4

A set of scores has a μ = 65 and a σ = 12. Lucinda's z-score was +1.50. What was her raw score?

Accepted Answer

A)  53 
B)  77 
C)  83 
D)  89

Question 5

The mean for a statistics exam was 85. Karen calculated her own z-score to be +1.75 for her test result of 68 points. What is wrong with Karen's calculation?

Accepted Answer

A)  A z-score cannot be calculated for ratio level data. 
B)  A z-score cannot be calculated for individual score results. 
C)  Her z-score should be negative. 
D)  Not enough information is provided.

Question 6

Ariana's raw score of 33 on her philosophy exam converted to a z-score of -1.50. Claire's raw score on the same exam was 48 and it converted to a z-score of +1.00. What was the standard deviation for the distribution?

Accepted Answer

A)  3 
B)  6 
C)  9 
D)  Not enough information is provided.

Question 7

Wayne is developing a new assessment instrument, called HOPE, designed to measure peoples' degree of optimism. He will standardize the test with a mean of 75 and a standard deviation of 8. As a preliminary measure, Wayne administers the HOPE scale to a group of volunteers. The mean for the group was 110 and the standard deviation was 6. The scores for two of the volunteers are below. 
a. Rylee scored 107. What was her HOPE score?
b. Haru scored 115. What was his HOPE score?

Accepted Answer

The answer of Wayne is developing a new assessment instrument,...

Question 8

A set of scores has a standard deviation of 6. A raw score of 53 converts to a z-score of -1.5. What is the mean of the distribution?

Accepted Answer

A)  56 
B)  62 
C)  65 
D)  51.5

Question 9

A z-score is a

Accepted Answer

A)  measure of variability. 
B)  measure of central tendency. 
C)  type of standard score. 
D)  type of raw score.

Question 10

Julie's z-score was +2.50 in a distribution whose μ = 100 with a σ = 10. What was Julie's raw score?

Accepted Answer

A)  102.5 
B)  110 
C)  115 
D)  125

Question 11

Which of the following statements is NOT true regarding z-scores?

Accepted Answer

A)  They describe an average amount that an entire distribution of scores deviates from the mean. 
B)  They describe how far a particular raw score deviates from the mean. 
C)  They are in standard deviation units. 
D)  Negative z-scores reflect deviations below the mean.

Exam 5: Z-Scores and Other Standard Scores