MATH 110 All Modules Exam (1–10) + Final Exam –
Portage Learning – Latest 2025/2026 Edition –
Questions and Answers
Section 1: Foundations of Statistics and Data Collection (Q1–Q15)
1. What is the science of collecting, organizing, summarizing, analyzing, and interpreting data
to make decisions?
A. Mathematics
B. Statistics
C. Probability
D. Algebra
Answer: B
Rationale: Statistics is defined as the science of collecting, organizing, summarizing, analyzing,
and interpreting data to make informed decisions. Mathematics, probability, and algebra are
related but distinct fields.
2. Which of the following includes all individuals or items of interest in a study?
A. Sample
B. Parameter
C. Population
D. Statistic
Answer: C
Rationale: A population includes all individuals or items of interest, whereas a sample is a
subset of the population. A parameter is a numerical summary of a population.
3. A researcher measures the blood pressure of 100 adults. Is this a population or a sample?
A. Population
B. Sample
C. Parameter
D. Statistic
Answer: B
Rationale: This is a sample because it is a subset of all adults, not the entire population of all
adults. A population would include every adult of interest.
4. What is a parameter?
A. A numerical summary of a sample
B. A numerical summary of a population
,C. A type of qualitative data
D. A sampling method
Answer: B
Rationale: A parameter is a numerical summary of a population (e.g., population mean μ),
while a statistic is a numerical summary of a sample.
5. What is a statistic?
A. A numerical summary of a population
B. A numerical summary of a sample
C. A type of categorical data
D. A level of measurement
Answer: B
Rationale: A statistic is a numerical summary of a sample (e.g., sample mean x̄). A parameter is
a numerical summary of a population.
6. "The average income of all households in the U.S." is an example of:
A. Statistic
B. Parameter
C. Sample
D. Variable
Answer: B
Rationale: This refers to the entire population of U.S. households, so it is a parameter. A
statistic would refer to a subset of households.
7. Which type of data represents categories or labels (e.g., gender, car color)?
A. Quantitative data
B. Discrete data
C. Qualitative (categorical) data
D. Continuous data
Answer: C
Rationale: Qualitative data represent categories or labels, such as gender or car color.
Quantitative data represent numerical counts or measurements.
8. Which type of data represents numerical counts or measurements (e.g., height, weight)?
A. Qualitative data
B. Categorical data
C. Quantitative data
D. Ordinal data
,Answer: C
Rationale: Quantitative data are numerical data that represent counts or measurements.
Qualitative data are categorical.
9. Is "phone number" qualitative or quantitative?
A. Quantitative
B. Qualitative
C. Both
D. Neither
Answer: B
Rationale: Phone number is qualitative (categorical) because it is a label used for identification,
not a numerical measurement. Arithmetic operations on phone numbers are meaningless.
10. Which level of measurement has a true zero point and allows for meaningful ratios?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
Answer: D
Rationale: The ratio level of measurement has a true zero point and allows for meaningful
ratios (e.g., weight, height). Interval level has no true zero, and nominal/ordinal are categorical.
11. A researcher collects the heights of every student enrolled in a specific online statistics
course during the Spring semester. Which classification best describes this data collection?
A. Sample and inferential study
B. Population and descriptive study
C. Sample and descriptive study
D. Observational sample only
Answer: B
Rationale: Because the researcher collected data from every student enrolled in the course, the
entire population was measured. Descriptive statistics summarize and organize data collected
from the population.
12. What is an "element" in a dataset?
A. A summary of the data
B. The individual and unique entry about which data has been collected
C. A type of graph used to display data
D. The average of all data points
Answer: B
Rationale: An element is the individual and unique entry in a dataset about which data has
been collected, analyzed, and presented. Each student in a class roster is an element.
, 13. What is a "variable" in a study?
A. A constant value in an equation
B. A particular, measurable attribute that describes an element
C. The entire group of interest in a study
D. A numerical summary of a population
Answer: B
Rationale: A variable is a particular, measurable attribute that describes an element (e.g.,
height, age, income).
14. A dataset of household incomes is strongly right-skewed with a few extreme outliers.
Which measure of center and spread pair best describes the typical household and the
variability of the middle portion of the data?
A. Mean and standard deviation
B. Median and interquartile range
C. Mode and range
D. Mean and coefficient of variation
Answer: B
Rationale: For right-skewed data with outliers, the median and IQR are resistant measures that
better represent the center and spread of the middle 50% of the data. Mean and standard
deviation are sensitive to extreme values.
15. Which sampling method gives every member of the population an equal chance of being
selected?
A. Convenience sampling
B. Simple random sampling
C. Stratified sampling
D. Cluster sampling
Answer: B
Rationale: Simple random sampling gives every member of the population an equal chance of
being selected. Convenience sampling selects readily available subjects.
Section 2: Descriptive Statistics (Q16–Q40)
16. What is the mean of the data set: 4, 8, 6, 10, 12?
A. 6
B. 7
C. 8
D. 9
Portage Learning – Latest 2025/2026 Edition –
Questions and Answers
Section 1: Foundations of Statistics and Data Collection (Q1–Q15)
1. What is the science of collecting, organizing, summarizing, analyzing, and interpreting data
to make decisions?
A. Mathematics
B. Statistics
C. Probability
D. Algebra
Answer: B
Rationale: Statistics is defined as the science of collecting, organizing, summarizing, analyzing,
and interpreting data to make informed decisions. Mathematics, probability, and algebra are
related but distinct fields.
2. Which of the following includes all individuals or items of interest in a study?
A. Sample
B. Parameter
C. Population
D. Statistic
Answer: C
Rationale: A population includes all individuals or items of interest, whereas a sample is a
subset of the population. A parameter is a numerical summary of a population.
3. A researcher measures the blood pressure of 100 adults. Is this a population or a sample?
A. Population
B. Sample
C. Parameter
D. Statistic
Answer: B
Rationale: This is a sample because it is a subset of all adults, not the entire population of all
adults. A population would include every adult of interest.
4. What is a parameter?
A. A numerical summary of a sample
B. A numerical summary of a population
,C. A type of qualitative data
D. A sampling method
Answer: B
Rationale: A parameter is a numerical summary of a population (e.g., population mean μ),
while a statistic is a numerical summary of a sample.
5. What is a statistic?
A. A numerical summary of a population
B. A numerical summary of a sample
C. A type of categorical data
D. A level of measurement
Answer: B
Rationale: A statistic is a numerical summary of a sample (e.g., sample mean x̄). A parameter is
a numerical summary of a population.
6. "The average income of all households in the U.S." is an example of:
A. Statistic
B. Parameter
C. Sample
D. Variable
Answer: B
Rationale: This refers to the entire population of U.S. households, so it is a parameter. A
statistic would refer to a subset of households.
7. Which type of data represents categories or labels (e.g., gender, car color)?
A. Quantitative data
B. Discrete data
C. Qualitative (categorical) data
D. Continuous data
Answer: C
Rationale: Qualitative data represent categories or labels, such as gender or car color.
Quantitative data represent numerical counts or measurements.
8. Which type of data represents numerical counts or measurements (e.g., height, weight)?
A. Qualitative data
B. Categorical data
C. Quantitative data
D. Ordinal data
,Answer: C
Rationale: Quantitative data are numerical data that represent counts or measurements.
Qualitative data are categorical.
9. Is "phone number" qualitative or quantitative?
A. Quantitative
B. Qualitative
C. Both
D. Neither
Answer: B
Rationale: Phone number is qualitative (categorical) because it is a label used for identification,
not a numerical measurement. Arithmetic operations on phone numbers are meaningless.
10. Which level of measurement has a true zero point and allows for meaningful ratios?
A. Nominal
B. Ordinal
C. Interval
D. Ratio
Answer: D
Rationale: The ratio level of measurement has a true zero point and allows for meaningful
ratios (e.g., weight, height). Interval level has no true zero, and nominal/ordinal are categorical.
11. A researcher collects the heights of every student enrolled in a specific online statistics
course during the Spring semester. Which classification best describes this data collection?
A. Sample and inferential study
B. Population and descriptive study
C. Sample and descriptive study
D. Observational sample only
Answer: B
Rationale: Because the researcher collected data from every student enrolled in the course, the
entire population was measured. Descriptive statistics summarize and organize data collected
from the population.
12. What is an "element" in a dataset?
A. A summary of the data
B. The individual and unique entry about which data has been collected
C. A type of graph used to display data
D. The average of all data points
Answer: B
Rationale: An element is the individual and unique entry in a dataset about which data has
been collected, analyzed, and presented. Each student in a class roster is an element.
, 13. What is a "variable" in a study?
A. A constant value in an equation
B. A particular, measurable attribute that describes an element
C. The entire group of interest in a study
D. A numerical summary of a population
Answer: B
Rationale: A variable is a particular, measurable attribute that describes an element (e.g.,
height, age, income).
14. A dataset of household incomes is strongly right-skewed with a few extreme outliers.
Which measure of center and spread pair best describes the typical household and the
variability of the middle portion of the data?
A. Mean and standard deviation
B. Median and interquartile range
C. Mode and range
D. Mean and coefficient of variation
Answer: B
Rationale: For right-skewed data with outliers, the median and IQR are resistant measures that
better represent the center and spread of the middle 50% of the data. Mean and standard
deviation are sensitive to extreme values.
15. Which sampling method gives every member of the population an equal chance of being
selected?
A. Convenience sampling
B. Simple random sampling
C. Stratified sampling
D. Cluster sampling
Answer: B
Rationale: Simple random sampling gives every member of the population an equal chance of
being selected. Convenience sampling selects readily available subjects.
Section 2: Descriptive Statistics (Q16–Q40)
16. What is the mean of the data set: 4, 8, 6, 10, 12?
A. 6
B. 7
C. 8
D. 9
