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Normal Distributions in Statistics MCQ

1. If the mean of a normal distribution is 106, and the standard deviation is 17, what percentage of scores are between 93 and 121?

81.06%

77.64%

41.30%

58.70%

Answer

Correct Answer: 58.70%

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2. With a normal distribution, over 99% of the z-scores will fall between –3.00 and +3.00.

True

False

Answer

Correct Answer: True

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3. If a person’s score on a test is equal to the mean, then their z-score will be 1.

True

False

Answer

Correct Answer: False

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4. In a normal distribution, 50% of the scores are below the mean.

True

False

Answer

Correct Answer: True

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5. What percentage of z-scores are within three standard deviations of the mean?

34.13%

99.74%

95.49%

68.26%

Answer

Correct Answer: 99.74%

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6. If the mean of a normal distribution is 70, and the standard deviation is 10, what percentage of scores are between 50 and 90?

4.56%

47.72%

95.44%

68.26%

Answer

Correct Answer: 95.44%

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7. A z-score between 0 and –1.0 will always correspond to a raw score that is below the mean.

True

False

Answer

Correct Answer: True

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8. If the mean of a normal distribution is 80, and the standard deviation is 5, what percentage of scores are between 75 and 80?

15.87%

34.13%

68.26%

84.13%

Answer

Correct Answer: 34.13%

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9. Assume the data to be normally distributed. If X = 80, µ = 74 and σ = 6, what percentage of the scores are above 80?

34.13%

15.87%

65.87%

84.13%

Answer

Correct Answer: 15.87%

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10. 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?

1.70%

48.30%

51.70%

98.30%

Answer

Correct Answer: 98.30%

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11. 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.

True

False

Answer

Correct Answer: False

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12. 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?

21.00%

45.82%

95.82%

54.18%

Answer

Correct Answer: 95.82%

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13. Normal distributions are ______.

Bimodal

Varied in shape

Positively skewed

Symmetrical

Answer

Correct Answer: Symmetrical

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14. 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?

Chinese

Latin

They cannot be compared because the standard deviations are so different.

They cannot be compared because the means are so different.

Answer

Correct Answer: Chinese

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15. Assume µ = 30 and σ = 10. If X = 32, what is X expressed as a z-score?

.20

.50

2.00

42.00

Answer

Correct Answer: .20

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16. Mathematical transformation of a variable comprising addition, subtraction, multiplication, or division is linear transformation

True

False

Answer

Correct Answer: True

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17. ____score within a standardized distribution is standardized scores

Answer

Correct Answer: Z

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18. Distribution of z-scores for scores in a frequency distribution is standardized distribution

True

False

Answer

Correct Answer: True

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19. Table containing the percentage of the standard normal distribution associated with different z-scores is normal curve table

True

False

Answer

Correct Answer: True

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20. ____ Scores for the standard normal distribution measured in standard deviation units.

Answer

Correct Answer: Z

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21. Standard Normal distribution measured in standard deviation units with a mean equal to 0 and a standard deviation equal to ___

Answer

Correct Answer: 1

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22. Normal Distribution based on a population of an infinite number of scores calculated from a mathematical formula

True

False

Answer

Correct Answer: True

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