## Description

## 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 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 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 standard (Z) score and vice versa

Cognitive Domain: Application

Answer Location: Transforming a Raw Score into a Z Score

Difficulty Level: Easy

7. A normal distribution represented in Z scores is referred to as a:

a. normal distribution.

b. normal bell-curve.

c. standard normal distribution.

d. standard normal table.

Ans: c

Learning Objective: 5-1: Explain the importance and use of the normal distribution in statistics

Cognitive Domain: Knowledge

Answer Location: The Standard Normal Distribution

Difficulty Level: Easy

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