Normal Distributions in Statistics MCQs
Normal Distributions in Statistics MCQs
Try to answer these 20+ Normal Distributions in Statistics MCQs and check your understanding of the Normal Distributions in Statistics subject.
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1: Normal Distribution based on a population of an infinite number of scores calculated from a mathematical formula
A. True
B. False
2: Standard Normal distribution measured in standard deviation units with a mean equal to 0 and a standard deviation equal to ___
A. 1
B. 2
C. 3
3: ____ Scores for the standard normal distribution measured in standard deviation units.
A. A
B. X
C. Y
D. Z
4: Table containing the percentage of the standard normal distribution associated with different z-scores is normal curve table
A. True
B. False
5: Distribution of z-scores for scores in a frequency distribution is standardized distribution
A. True
B. False
6: ____score within a standardized distribution is standardized scores
A. X
B. Y
C. Z
D. A
7: Mathematical transformation of a variable comprising addition, subtraction, multiplication, or division is linear transformation
A. True
B. False
8: Assume µ = 30 and σ = 10. If X = 32, what is X expressed as a z-score?
A. .20
B. .50
C. 2.00
D. 42.00
9: Lindsey scores an 82 on her Latin exam. The class mean for the Latin exam was 88 with a standard deviation of 2. Lindsey scored a 58 on her Chinese exam. The class mean for the Chinese exam was 62 with a standard deviation of 8. Based on her performance relative to her classmates, on which exam did she demonstrate the best performance?
A. Chinese
B. Latin
C. They cannot be compared because the standard deviations are so different.
D. They cannot be compared because the means are so different.
10: Normal distributions are ______.
A. Bimodal
B. Varied in shape
C. Positively skewed
D. Symmetrical
11: Assume the data to be normally distributed. If X = 79 and expressed as a z-score it is z = –1.73, what percentage of the scores are above 79?
A. 21.00%
B. 45.82%
C. 95.82%
D. 54.18%
12: A z-score in the standard normal distribution can be interpreted as distance from the mean in standard deviation units, but gives no information of its location relative to the entire distribution.
A. True
B. False
13: Assume the data to be normally distributed. If X = 87 and expressed as a z-score it is z = +2.12, what percentage of the scores are below 87?
A. 1.70%
B. 48.30%
C. 51.70%
D. 98.30%
14: Assume the data to be normally distributed. If X = 80, µ = 74 and σ = 6, what percentage of the scores are above 80?
A. 34.13%
B. 15.87%
C. 65.87%
D. 84.13%
15: If the mean of a normal distribution is 80, and the standard deviation is 5, what percentage of scores are between 75 and 80?
A. 15.87%
B. 34.13%
C. 68.26%
D. 84.13%
16: A z-score between 0 and –1.0 will always correspond to a raw score that is below the mean.
A. True
B. False
17: If the mean of a normal distribution is 70, and the standard deviation is 10, what percentage of scores are between 50 and 90?
A. 4.56%
B. 47.72%
C. 95.44%
D. 68.26%
18: What percentage of z-scores are within three standard deviations of the mean?
A. 34.13%
B. 99.74%
C. 95.49%
D. 68.26%
19: In a normal distribution, 50% of the scores are below the mean.
A. True
B. False
20: If a person’s score on a test is equal to the mean, then their z-score will be 1.
A. True
B. False
21: With a normal distribution, over 99% of the z-scores will fall between –3.00 and +3.00.
A. True
B. False
22: If the mean of a normal distribution is 106, and the standard deviation is 17, what percentage of scores are between 93 and 121?
A. 81.06%
B. 77.64%
C. 41.30%
D. 58.70%
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Normal Distributions in Statistics MCQs
