Social Statistics For A Diverse Society 8th Edition By Frankfort Nachmias – Test Bank
Chapter 5: The Normal Distribution
Test Bank
Multiple Choice
1. The normal distribution is a ______ and ______ symmetrical distribution with the mean, the median, and the mode all coinciding at its peak and with the frequencies gradually decreasing at both ends of the curve.
a. bell-shaped; empirical
b. bell-shaped; theoretical
c. curvilinear; hypothetical
d. curvilinear; inferential
Ans: b
Learning Objective: 5-2: Describe the properties of the normal distribution
Cognitive Domain: Knowledge
Answer Location: Properties of the Normal Distribution
Difficulty Level: Easy
2. Considering the properties of the normal curve, if we know the mean and standard deviation, we are then able to calculate the ______ under the curve between any score and the mean.
a. range
b. area
c. mean
d. mode
Ans: b
Learning Objective: 5-2: Describe the properties of the normal distribution
Cognitive Domain: Knowledge
Answer Location: Areas Under the Normal Curve
Difficulty Level: Medium
3. What percentage of the area under the normal curve falls between ±2 standard deviations?
a. 99.72
b. 95.46
c. 68.26
d. 20.0
Ans: b
Learning Objective: 5-2: Describe the properties of the normal distribution
Cognitive Domain: Knowledge
Answer Location: Areas Under the Normal Curve
Difficulty Level: Easy
4. The number of standard deviations that a given raw score is above or below the mean is referred to as a
a. mean.
b. frequency distribution.
c. variance.
d. standard (Z) score.
Ans: d
Learning Objective: 5-3: Transform a raw score into a standard (Z) score and vice versa
Cognitive Domain: Knowledge
Answer Location: Transforming a Raw Score Into a Z Score
Difficulty Level: Easy
5. Suppose that in a particular sample, the mean is 70.07 and the standard deviation is 10.27. What is the Z score that corresponds to a raw score of 80?
a. 0.97
b. 6.82
c. 9.93
d. 14.61
Ans: a
Learning Objective: 5-3: Transform a raw score into a standard (Z) score and vice versa
Cognitive Domain: Application
Answer Location: Transforming a Raw Score into a Z Score
Difficulty Level: Easy
6. Suppose that in a particular sample, the mean is 70.07 and the standard deviation is 10.27. What is the raw score associated with a Z score of 1.88?
a. 80.54
b. 88.00
c. 89.38
d. 90.27
Ans: c
Learning Objective: 5-3: Transform a raw score into a standard (Z) score and vice versa
Cognitive Domain: Application
Answer Location: Transforming a Raw Score into a Z Score
Difficulty Level: Easy
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