Chapter 2 - Frequency Distributions and Graphs
1. Which of the following does not need to be done when constructing a frequency
distribution?
A) select the number of classes desired
B) find the range
C) make the class width an even number
D) use classes that are mutually exclusive
Ans: C Difficulty: Easy Section: 2.1
2. The lower class limit represents the smallest data value that can be included in the class.
Ans: True Difficulty: Moderate Section: 2.1
3. When data are collected in original form, they are called __________.
Ans: raw data
Difficulty: Easy Section: 2.1
4. The __________ of a specific class is the number of data values contained in it.
Ans: frequency
Difficulty: Easy Section: 2.1
5. If a frequency distribution had class boundaries of 132.5–147.5, what would be the class
width?
Ans: 15
Difficulty: Moderate Section: 2.1
6. For the class 7 - 20, the upper class limit is
A) 6.5 B) 7 C) 20 D) 20.5
Ans: C Difficulty: Easy Section: 2.1
7. What are the boundaries of the class 12-16?
A) 11.5 and 16.5 B) 10 and 18 C) 12 and 16 D) 4
Ans: A Difficulty: Easy Section: 2.1
8. In an ungrouped frequency distribution of the average age of high school graduates, what
would be the boundaries for the class of graduates who were reported to be 18 years old?
A) 17–19 years old C) 17.6 – 18.5 years old
B) 17.5 – 18.5 years old D) 17.6 19.5 years old
Ans: B Difficulty: Easy Section: 2.1
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, Chapter 2 - Frequency Distributions and Graphs
9. What is the midpoint of the class 7-11 ? A) 9.5 B) 9 C) 5 D) 4
Ans: B Difficulty: Easy Section: 2.1
10. Greg wants to construct a frequency distribution for the political affiliation of the employees
at Owen's Hardware Store. What type of distribution would be best?
A) ungrouped B) grouped C) categorical D) cumulative Ans: C
Difficulty: Easy Section: 2.1
11. What is the lower class limit of the class 13–17? A) 15 B) 17 C) 13 D) 12.5
Ans: C Difficulty: Moderate Section: 2.1
12. What is the midpoint of the class 15–18 ? A) 1.5 B) 16.5 C) 3 D) 16
Ans: B Difficulty: Easy Section: 2.1
13. What is the upper class boundary of the class 23–35 ?
A) 35 B) 7.5 C) 35.5 D) 7
Ans: C Difficulty: Moderate Section: 2.1
14. If the limits for a class were 20–38, the boundaries would be 19.5–38.5. Ans: True
Difficulty: Easy Section: 2.1
15. For grouped frequency distributions, the __________ is obtained by adding the lower and
upper limits and dividing by 2.
Ans: class midpoint
Difficulty: Easy Section: 2.1
16. What is the lower class limit in the class 6-10 ? A) 6 B) 8 C) 6.5 D) 5.5
Ans: A Difficulty: Moderate Section: 2.1
17. Which of the following pairs of class limits would be appropriate for grouping the numbers
10, 13, 8, and 15 ?
A) 7-11 and 11-15 C) 8-10 and 11-15
B) 8-10 and 13-15 D) 8-11 and 12-15
Ans: D Difficulty: Moderate Section: 2.1
18. Thirty students recorded the colors of their eyes, choosing from the colors brown, blue,
green, hazel, and black. This data can be appropriately summarized in
a(n)______________ .
A) open-ended distribution C) grouped frequency distribution
B) categorical frequency distribution D) upper boundary
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, Chapter 2 - Frequency Distributions and Graphs
Ans: B Difficulty: Moderate Section: 2.1
19. What are the boundaries of the class 1.87–3.43 ?
A) 1.82–3.48 B) 1.87–3.43 C) 1.879–3.439 D) 1.865–3.435 Ans: D
Difficulty: Moderate Section: 2.1
20. For the class 16.3–23.8, the width is 8.5. Ans: False Difficulty: Easy Section: 2.1
21. When the range is large, and classes that are several units in width are needed, a __________
frequency distribution is used.
Ans: grouped
Difficulty: Moderate Section: 2.1
22. The cumulative frequency for a class is the sum of the frequencies of the classes less than
and equal to the upper boundary of the specific class.
Ans: True Difficulty: Easy Section: 2.1
23. Construct a frequency polygon from the following frequency distribution.
Temperature Frequency
28.5–31.5 1
31.5–34.5 3
34.5–37.5 6
37.5–40.5 10
40.5–43.5 8
43.5–46.5 7
Ans:
Difficulty: Moderate Section: 2.2
24. Find the class with the least number of data values.
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1. Which of the following does not need to be done when constructing a frequency
distribution?
A) select the number of classes desired
B) find the range
C) make the class width an even number
D) use classes that are mutually exclusive
Ans: C Difficulty: Easy Section: 2.1
2. The lower class limit represents the smallest data value that can be included in the class.
Ans: True Difficulty: Moderate Section: 2.1
3. When data are collected in original form, they are called __________.
Ans: raw data
Difficulty: Easy Section: 2.1
4. The __________ of a specific class is the number of data values contained in it.
Ans: frequency
Difficulty: Easy Section: 2.1
5. If a frequency distribution had class boundaries of 132.5–147.5, what would be the class
width?
Ans: 15
Difficulty: Moderate Section: 2.1
6. For the class 7 - 20, the upper class limit is
A) 6.5 B) 7 C) 20 D) 20.5
Ans: C Difficulty: Easy Section: 2.1
7. What are the boundaries of the class 12-16?
A) 11.5 and 16.5 B) 10 and 18 C) 12 and 16 D) 4
Ans: A Difficulty: Easy Section: 2.1
8. In an ungrouped frequency distribution of the average age of high school graduates, what
would be the boundaries for the class of graduates who were reported to be 18 years old?
A) 17–19 years old C) 17.6 – 18.5 years old
B) 17.5 – 18.5 years old D) 17.6 19.5 years old
Ans: B Difficulty: Easy Section: 2.1
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, Chapter 2 - Frequency Distributions and Graphs
9. What is the midpoint of the class 7-11 ? A) 9.5 B) 9 C) 5 D) 4
Ans: B Difficulty: Easy Section: 2.1
10. Greg wants to construct a frequency distribution for the political affiliation of the employees
at Owen's Hardware Store. What type of distribution would be best?
A) ungrouped B) grouped C) categorical D) cumulative Ans: C
Difficulty: Easy Section: 2.1
11. What is the lower class limit of the class 13–17? A) 15 B) 17 C) 13 D) 12.5
Ans: C Difficulty: Moderate Section: 2.1
12. What is the midpoint of the class 15–18 ? A) 1.5 B) 16.5 C) 3 D) 16
Ans: B Difficulty: Easy Section: 2.1
13. What is the upper class boundary of the class 23–35 ?
A) 35 B) 7.5 C) 35.5 D) 7
Ans: C Difficulty: Moderate Section: 2.1
14. If the limits for a class were 20–38, the boundaries would be 19.5–38.5. Ans: True
Difficulty: Easy Section: 2.1
15. For grouped frequency distributions, the __________ is obtained by adding the lower and
upper limits and dividing by 2.
Ans: class midpoint
Difficulty: Easy Section: 2.1
16. What is the lower class limit in the class 6-10 ? A) 6 B) 8 C) 6.5 D) 5.5
Ans: A Difficulty: Moderate Section: 2.1
17. Which of the following pairs of class limits would be appropriate for grouping the numbers
10, 13, 8, and 15 ?
A) 7-11 and 11-15 C) 8-10 and 11-15
B) 8-10 and 13-15 D) 8-11 and 12-15
Ans: D Difficulty: Moderate Section: 2.1
18. Thirty students recorded the colors of their eyes, choosing from the colors brown, blue,
green, hazel, and black. This data can be appropriately summarized in
a(n)______________ .
A) open-ended distribution C) grouped frequency distribution
B) categorical frequency distribution D) upper boundary
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, Chapter 2 - Frequency Distributions and Graphs
Ans: B Difficulty: Moderate Section: 2.1
19. What are the boundaries of the class 1.87–3.43 ?
A) 1.82–3.48 B) 1.87–3.43 C) 1.879–3.439 D) 1.865–3.435 Ans: D
Difficulty: Moderate Section: 2.1
20. For the class 16.3–23.8, the width is 8.5. Ans: False Difficulty: Easy Section: 2.1
21. When the range is large, and classes that are several units in width are needed, a __________
frequency distribution is used.
Ans: grouped
Difficulty: Moderate Section: 2.1
22. The cumulative frequency for a class is the sum of the frequencies of the classes less than
and equal to the upper boundary of the specific class.
Ans: True Difficulty: Easy Section: 2.1
23. Construct a frequency polygon from the following frequency distribution.
Temperature Frequency
28.5–31.5 1
31.5–34.5 3
34.5–37.5 6
37.5–40.5 10
40.5–43.5 8
43.5–46.5 7
Ans:
Difficulty: Moderate Section: 2.2
24. Find the class with the least number of data values.
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