CNSL 503 Statistics Module 2 Problem Set Questions and
Correct Answers Review/ Portage CNSL 503 M2 Problem Set
Section 1: Frequency Distributions & Tables (Q1–25)
Q1. A frequency distribution shows:
A) The mean of the data
B) How often each value occurs
C) The standard deviation
D) The correlation between variables
Answer: B
Rationale: A frequency distribution displays the frequency (count) of each value
or category in a dataset.
Q2. In a two-column frequency table, the columns typically represent:
A) Mean and median
B) Category and frequency
C) Variance and standard deviation
D) Range and interquartile range
Answer: B
Rationale: One column lists each category or value; the second column lists its
frequency (count).
Q3. Absolute frequency refers to:
A) The percentage of total cases
B) The raw count of occurrences
C) The cumulative total
D) The average frequency
Answer: B
Rationale: Absolute frequency is the exact number of times each value appears
(the raw count).
,Q4. Relative frequency is calculated as:
A) Category frequency × total frequency
B) Total frequency – category frequency
C) Category frequency ÷ total frequency
D) Cumulative frequency ÷ category frequency
Answer: C
Rationale: Relative frequency = frequency in category divided by total frequency
(often expressed as a proportion or percentage).
Q5. If 12 out of 60 students earned an A, the relative frequency of A is:
A) 12
B) 0.20
C) 0.80
D) 60
Answer: B
Rationale: Relative frequency = 12 ÷ 60 = 0.20 (20%).
Q6. Cumulative frequency represents:
A) Frequency of the highest category only
B) Sum of frequencies of all preceding categories (running total)
C) The mode of the distribution
D) The range of the dataset
Answer: B
Rationale: Cumulative frequency is the running total of frequencies as you move
through categories in order.
Q7. To answer "How many students scored C or below?" you would use:
A) Absolute frequency of C only
B) Relative frequency
, C) Cumulative frequency up to C
D) The mode
Answer: C
Rationale: Cumulative frequency sums all frequencies from the lowest category
up through the category of interest (C or below).
Q8. Frequency tables can be used for:
A) Only qualitative variables
B) Only quantitative variables
C) Both qualitative and quantitative variables
D) Time-series data only
Answer: C
Rationale: Frequency tables can summarize data from both qualitative
(categorical) and quantitative (numerical) variables.
Q9. For quantitative data with many distinct values, you should:
A) List every single value
B) Group values into bins (ranges)
C) Use a pie chart instead
D) Omit the frequency table
Answer: B
Rationale: Grouping values into bins creates a grouped frequency distribution,
making the data more manageable.
Q10. Bins in a grouped frequency distribution are:
A) Individual data points
B) Ranges of scores grouped together
C) Outliers in the dataset
D) The mean of each category
Correct Answers Review/ Portage CNSL 503 M2 Problem Set
Section 1: Frequency Distributions & Tables (Q1–25)
Q1. A frequency distribution shows:
A) The mean of the data
B) How often each value occurs
C) The standard deviation
D) The correlation between variables
Answer: B
Rationale: A frequency distribution displays the frequency (count) of each value
or category in a dataset.
Q2. In a two-column frequency table, the columns typically represent:
A) Mean and median
B) Category and frequency
C) Variance and standard deviation
D) Range and interquartile range
Answer: B
Rationale: One column lists each category or value; the second column lists its
frequency (count).
Q3. Absolute frequency refers to:
A) The percentage of total cases
B) The raw count of occurrences
C) The cumulative total
D) The average frequency
Answer: B
Rationale: Absolute frequency is the exact number of times each value appears
(the raw count).
,Q4. Relative frequency is calculated as:
A) Category frequency × total frequency
B) Total frequency – category frequency
C) Category frequency ÷ total frequency
D) Cumulative frequency ÷ category frequency
Answer: C
Rationale: Relative frequency = frequency in category divided by total frequency
(often expressed as a proportion or percentage).
Q5. If 12 out of 60 students earned an A, the relative frequency of A is:
A) 12
B) 0.20
C) 0.80
D) 60
Answer: B
Rationale: Relative frequency = 12 ÷ 60 = 0.20 (20%).
Q6. Cumulative frequency represents:
A) Frequency of the highest category only
B) Sum of frequencies of all preceding categories (running total)
C) The mode of the distribution
D) The range of the dataset
Answer: B
Rationale: Cumulative frequency is the running total of frequencies as you move
through categories in order.
Q7. To answer "How many students scored C or below?" you would use:
A) Absolute frequency of C only
B) Relative frequency
, C) Cumulative frequency up to C
D) The mode
Answer: C
Rationale: Cumulative frequency sums all frequencies from the lowest category
up through the category of interest (C or below).
Q8. Frequency tables can be used for:
A) Only qualitative variables
B) Only quantitative variables
C) Both qualitative and quantitative variables
D) Time-series data only
Answer: C
Rationale: Frequency tables can summarize data from both qualitative
(categorical) and quantitative (numerical) variables.
Q9. For quantitative data with many distinct values, you should:
A) List every single value
B) Group values into bins (ranges)
C) Use a pie chart instead
D) Omit the frequency table
Answer: B
Rationale: Grouping values into bins creates a grouped frequency distribution,
making the data more manageable.
Q10. Bins in a grouped frequency distribution are:
A) Individual data points
B) Ranges of scores grouped together
C) Outliers in the dataset
D) The mean of each category
