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Mathematics
9th -
12thgrade
13.2 Relative Standing (z-scores and percentiles)
15 questions
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- 1. Multiple Choice
What is the formula to find the z-score for population?
- 2. Multiple Choice
Which of the following is a formula that describes calculating a z-score?
Z = (score - mean) / stand. devation
Z = (mean - score) / stand. dev.
Z = score/stand. dev/ mean
Z = dragonball
- 3. Multiple Choice
What is the purpose of z-scores?
to describe the exact location of a score within a distribution
to find the mean of the distribution
to describe the shape of the distribution
to find the standard deviation of the distribution
- 4. Multiple Choice
The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.
True
False
- 5. Multiple Choice
Find the Z-score.
Mean = 22
Standard Deviation: 3.1
x = 29
2.26
16.45
-2.26
1.26
- 6. Multiple ChoiceIf 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?-5-225
- 7. Multiple Choice
Adam's Z-score on a test is +2.50. What does this mean?
Adam's score has a 2.5% chance of being better than any other randomly selected score.
Adam's test score was better than 25% of his peers.
He scored 2.5 standard deviations above the average.
He did terrible.
- 8. Multiple Choice
What is the Z-score for Paula if she got 1400 on the SAT, the mean was 1100 and the standard deviation was 275?
-1.90
-1.09
+1.09
+1.90
- 9. Multiple Choice
Find the mean.
Z-score = -1.4
Standard Deviation: 7
x = 20
29.8
10.2
-21
35
- 10. Multiple Choice
If I tell you that you scored at the 55th percentile on your final exam, you would know:
55% of the class scored the same or worse than you did
You earned a 55% on the exam
You failed the exam
45% of the class scored worse than you did
- 11. Multiple ChoiceGiven the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile rank for 11.7062.572.575
- 12. Multiple Choice
In a factory, the weight of the concrete poured into a mold by a machine follows a normal distribution with a mean of 1150 pounds and a standard deviation of 22 pounds. What weight falls at the 50th percentile?
1106 pounds
1128 pounds
1150 pounds
1172 pounds
- 13. Multiple Choice
Scores on a certain standardized test have a mean of 500, and a standard deviation of 100. What score would you need to fall at the 84th percentile?
84
400
500
600
- 14. Multiple Choice
Jeremy scored a 74 on his test. 16 of the 26 scores on the test are less than or equal to 74. What is Jeremy's percentile rank?
62nd percentile
38th percentile
74th percentile
26th percentile
- 15. Multiple Choice
Shannon spent $60 on her homecoming dress. If 197 of the 300 students that bought a homecoming dress spent more than Shannon, what is the percentile rank of her cost?
103rd percentile
34th percentile
66th percentile
20th percentile
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