Portage Learning MATH 110 Introduction
to Statistics: Portage Learning
COMPREHENSIVE MODULE EXAM
(Modules 1-10) Latest-2026 Edition
MODULE 1: Introduction to Statistics & Data Analysis
1. Which of the following is an example of inferential statistics?
A) The average height of students in a class is 68 inches
B) 45% of surveyed voters prefer Candidate A
C) Using sample data to predict election outcomes for all voters
D) The median income of a sample population is $50,000
CORRECT ANSWER: C
Rationale: Inferential statistics involves using sample data to make predictions or
generalizations about a larger population. Option C describes using sample data to
predict outcomes for all voters, which is inferential. Options A, B, and D are descriptive
statistics as they simply describe the data at hand.
2. What type of variable is "number of children in a family"?
A) Continuous variable
,B) Discrete variable
C) Categorical variable
D) Ordinal variable
CORRECT ANSWER: B
Rationale: A discrete variable can only take on specific, countable values (whole
numbers). Number of children is counted in whole numbers (0, 1, 2, etc.), making it
discrete. It is not continuous because you cannot have 2.5 children.
3. Which scale of measurement is being used when ranking employees from 1st to 10th
based on performance?
A) Nominal scale
B) Ordinal scale
C) Interval scale
D) Ratio scale
CORRECT ANSWER: B
Rationale: The ordinal scale indicates order or ranking without equal intervals between
values. Ranking employees 1st to 10th establishes order but doesn't guarantee equal
differences between positions.
4. A study measures the weight of 50 adult males. Weight is measured in pounds. This is
an example of:
A) Qualitative data
,B) Categorical data
C) Quantitative data
D) Nominal data
CORRECT ANSWER: C
Rationale: Weight is numerical and can be measured, making it quantitative
(numerical) data. It is not qualitative/categorical because it represents measurable
quantities.
5. Which sampling method involves dividing the population into groups and then
randomly selecting entire groups?
A) Simple random sampling
B) Stratified sampling
C) Cluster sampling
D) Systematic sampling
CORRECT ANSWER: C
Rationale: Cluster sampling divides the population into groups (clusters) and randomly
selects entire clusters to be included in the sample. This differs from stratified sampling
where random individuals are selected from each stratum.
6. What is the primary advantage of using a random sample?
, A) It's always cheaper than other methods
B) It eliminates all sampling error
C) It allows for generalization to the population
D) It guarantees equal representation of subgroups
CORRECT ANSWER: C
Rationale: Random sampling allows for statistical inference and generalization of results
from the sample to the broader population. It does not eliminate sampling error or
guarantee subgroup representation.
7. A researcher collects data on eye color. This variable is best described as:
A) Quantitative and continuous
B) Quantitative and discrete
C) Qualitative and nominal
D) Qualitative and ordinal
CORRECT ANSWER: C
Rationale: Eye color is a categorical variable with no inherent order, making it
qualitative and nominal. Categories include blue, brown, green, etc., with no
meaningful ranking.
8. Which of the following is NOT a measure of central tendency?
to Statistics: Portage Learning
COMPREHENSIVE MODULE EXAM
(Modules 1-10) Latest-2026 Edition
MODULE 1: Introduction to Statistics & Data Analysis
1. Which of the following is an example of inferential statistics?
A) The average height of students in a class is 68 inches
B) 45% of surveyed voters prefer Candidate A
C) Using sample data to predict election outcomes for all voters
D) The median income of a sample population is $50,000
CORRECT ANSWER: C
Rationale: Inferential statistics involves using sample data to make predictions or
generalizations about a larger population. Option C describes using sample data to
predict outcomes for all voters, which is inferential. Options A, B, and D are descriptive
statistics as they simply describe the data at hand.
2. What type of variable is "number of children in a family"?
A) Continuous variable
,B) Discrete variable
C) Categorical variable
D) Ordinal variable
CORRECT ANSWER: B
Rationale: A discrete variable can only take on specific, countable values (whole
numbers). Number of children is counted in whole numbers (0, 1, 2, etc.), making it
discrete. It is not continuous because you cannot have 2.5 children.
3. Which scale of measurement is being used when ranking employees from 1st to 10th
based on performance?
A) Nominal scale
B) Ordinal scale
C) Interval scale
D) Ratio scale
CORRECT ANSWER: B
Rationale: The ordinal scale indicates order or ranking without equal intervals between
values. Ranking employees 1st to 10th establishes order but doesn't guarantee equal
differences between positions.
4. A study measures the weight of 50 adult males. Weight is measured in pounds. This is
an example of:
A) Qualitative data
,B) Categorical data
C) Quantitative data
D) Nominal data
CORRECT ANSWER: C
Rationale: Weight is numerical and can be measured, making it quantitative
(numerical) data. It is not qualitative/categorical because it represents measurable
quantities.
5. Which sampling method involves dividing the population into groups and then
randomly selecting entire groups?
A) Simple random sampling
B) Stratified sampling
C) Cluster sampling
D) Systematic sampling
CORRECT ANSWER: C
Rationale: Cluster sampling divides the population into groups (clusters) and randomly
selects entire clusters to be included in the sample. This differs from stratified sampling
where random individuals are selected from each stratum.
6. What is the primary advantage of using a random sample?
, A) It's always cheaper than other methods
B) It eliminates all sampling error
C) It allows for generalization to the population
D) It guarantees equal representation of subgroups
CORRECT ANSWER: C
Rationale: Random sampling allows for statistical inference and generalization of results
from the sample to the broader population. It does not eliminate sampling error or
guarantee subgroup representation.
7. A researcher collects data on eye color. This variable is best described as:
A) Quantitative and continuous
B) Quantitative and discrete
C) Qualitative and nominal
D) Qualitative and ordinal
CORRECT ANSWER: C
Rationale: Eye color is a categorical variable with no inherent order, making it
qualitative and nominal. Categories include blue, brown, green, etc., with no
meaningful ranking.
8. Which of the following is NOT a measure of central tendency?
