Download z-Scores - Leland Public Schools

Algebra 2b
Name:
z-Scores
For questions 1 through 6: The data shown are test scores in the morning Algebra 2 class.
82
96
61
94
99
71
72
62
81
50
80
84
77
62
50
66
88
71
80
96
69
72
91
63
72
1. Find the mean and standard deviation of the test scores.
2. Calculate the z-score for the student who earned a 50 on the test.
3. Calculate the z-score for the student who earned a 66 on the test.
4. Calculate the z-score for the student who earned an 80 on the test.
5. Calculate the z-score for the student who earned a 91 on the test.
6. The afternoon class of Algebra 2 students took the same test. Their mean was 72.3 and
their standard deviation was 17.18. A student in that class also scored a 91. Which
student did better compared to the rest of the class? Justify your answer.
7. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly
had an IQ of 160. Calculate Albert Einstein’s IQ z-score.
For questions 8 through 10: The z-scores of the heights of several adult
American men are listed.
Adam
1.10
Bob
0.00
Carl
1.70
David -0.80
Eric
-2.00
Fred
1.60
8. Which of these men has above-average height?
9. Which of these men has average height?
10. If the mean height of an adult American male is 70 inches and the standard deviation is 3.5
inches, find the height of each of the men listed, rounded to the nearest tenth of an inch.
Adam ______
Bob
______
Carl
______
David ______
Eric
______
Fred
______