,MATH 110 Module 2 | Practice Q&A | 2026/2027 | Statistics | Portage
Learning | 100% PASS
1. A tabular summary of data showing the number (frequency) of
observations in each of several distinct, non-overlapping categories or
classes is called a:
A) Pie chart
B) Frequency distribution
C) Histogram
D) Relative frequency
Correct Answer: Frequency distribution
Rationale: A frequency distribution is a tabular summary of data showing the
number (frequency) of observations in each of several distinctive, non-
overlapping categories or classes. Pie charts and histograms are graphical
representations, not tabular summaries.
2. The ratio that compares the frequency of each category to the total
number of observations is called the:
A) Frequency distribution
B) Relative frequency
C) Percentage frequency
D) Cumulative frequency
Correct Answer: Relative frequency
Rationale: Relative frequency is a ratio that compares the frequency of each
category to the total, calculated as frequency of the class divided by n (total
count of all classes). It is a proportion rather than a count.
,3. The relative percentage is calculated by:
A) Frequency × 100
B) Relative frequency × 100
C) Frequency / Total
D) Total / Frequency
Correct Answer: Relative frequency × 100
Rationale: Relative percentage is the relative frequency multiplied by 100,
giving the percentage of time the value occurs in the sample or population.
This converts the proportion to a percentage.
4. A data set contains the following values: 12, 15, 18, 22, 25, 28, 31, 35, 40,
45. What is the range?
A) 12
B) 33
C) 45
D) 57
Correct Answer: 33
Rationale: The range is the difference between the largest and smallest data
values: 45 - 12 = 33. The range is a simple measure of variability that
describes the spread of the data.
5. What is the approximate class width for a data set with a largest value of
95, a smallest value of 15, and 5 classes?
A) 10
B) 16
, C) 20
D) 80
Correct Answer: 16
Rationale: Approximate class width = (largest data value - smallest data
value) / number of classes = (95 - 15) / 5 = = 16. The width should be
rounded up to a convenient number for practical use.
6. The approximate class width for a data set with a largest value of 120, a
smallest value of 20, and 8 classes is:
A) 10
B) 12.5
C) 15
D) 100
Correct Answer: 12.5
Rationale: Approximate class width = (120 - 20) / 8 = = 12.5. In
practice, this would be rounded up to 13 or to a convenient value.
7. When determining the number of classes for a frequency distribution with
fewer than 25 observations, the recommended number of classes is:
A) 2 to 3
B) 5 to 6
C) 7 to 14
D) 15 to 20
Learning | 100% PASS
1. A tabular summary of data showing the number (frequency) of
observations in each of several distinct, non-overlapping categories or
classes is called a:
A) Pie chart
B) Frequency distribution
C) Histogram
D) Relative frequency
Correct Answer: Frequency distribution
Rationale: A frequency distribution is a tabular summary of data showing the
number (frequency) of observations in each of several distinctive, non-
overlapping categories or classes. Pie charts and histograms are graphical
representations, not tabular summaries.
2. The ratio that compares the frequency of each category to the total
number of observations is called the:
A) Frequency distribution
B) Relative frequency
C) Percentage frequency
D) Cumulative frequency
Correct Answer: Relative frequency
Rationale: Relative frequency is a ratio that compares the frequency of each
category to the total, calculated as frequency of the class divided by n (total
count of all classes). It is a proportion rather than a count.
,3. The relative percentage is calculated by:
A) Frequency × 100
B) Relative frequency × 100
C) Frequency / Total
D) Total / Frequency
Correct Answer: Relative frequency × 100
Rationale: Relative percentage is the relative frequency multiplied by 100,
giving the percentage of time the value occurs in the sample or population.
This converts the proportion to a percentage.
4. A data set contains the following values: 12, 15, 18, 22, 25, 28, 31, 35, 40,
45. What is the range?
A) 12
B) 33
C) 45
D) 57
Correct Answer: 33
Rationale: The range is the difference between the largest and smallest data
values: 45 - 12 = 33. The range is a simple measure of variability that
describes the spread of the data.
5. What is the approximate class width for a data set with a largest value of
95, a smallest value of 15, and 5 classes?
A) 10
B) 16
, C) 20
D) 80
Correct Answer: 16
Rationale: Approximate class width = (largest data value - smallest data
value) / number of classes = (95 - 15) / 5 = = 16. The width should be
rounded up to a convenient number for practical use.
6. The approximate class width for a data set with a largest value of 120, a
smallest value of 20, and 8 classes is:
A) 10
B) 12.5
C) 15
D) 100
Correct Answer: 12.5
Rationale: Approximate class width = (120 - 20) / 8 = = 12.5. In
practice, this would be rounded up to 13 or to a convenient value.
7. When determining the number of classes for a frequency distribution with
fewer than 25 observations, the recommended number of classes is:
A) 2 to 3
B) 5 to 6
C) 7 to 14
D) 15 to 20
