MATH 110 Final Exam
||MATH110 Introduction to
Statistics: (Latest-2026) /
Portage Learning
**1. A study collects data on the eye color, height, and annual income of participants. Which of the
following statements is correct?**
A. Eye color is a quantitative variable.
B. Height is a categorical variable.
C. Annual income is a quantitative variable.
D. All three are examples of qualitative data.
**Correct Answer: C**
**Rationale:** Variables in statistics are classified as either categorical (qualitative) or quantitative
(numerical) . Eye color is a categorical variable because it falls into categories. Height and annual income
are quantitative variables because they represent numerical measurements. Therefore, annual income
being a quantitative variable is the only correct statement .
, ---
**2. A professor records the scores of 10 students on a quiz: 85, 90, 78, 92, 88, 84, 79, 95, 88, 91. What
is the median score?**
A. 87.0
B. 88.0
C. 87.5
D. 88.5
**Correct Answer: B**
**Rationale:** The median is the middle value in a data set that has been ordered from least to
greatest. The ordered data is: 78, 79, 84, 85, 88, 88, 90, 91, 92, 95. Since there are 10 (an even number)
data points, the median is the average of the 5th and 6th values. The 5th value is 88 and the 6th value is
88, so the median is 88 .
---
**3. The 40th percentile of a data set is the value below which:**
A. 40% of the data lies.
B. 60% of the data lies.
C. The mean of the data falls.
D. The standard deviation is calculated.
**Correct Answer: A**
**Rationale:** Percentiles are measures of relative standing that divide a data set into 100 equal parts .
The kth percentile is a value such that at least k% of the observations are less than or equal to that
value. Therefore, the 40th percentile is the value below which approximately 40% of the data falls. .
||MATH110 Introduction to
Statistics: (Latest-2026) /
Portage Learning
**1. A study collects data on the eye color, height, and annual income of participants. Which of the
following statements is correct?**
A. Eye color is a quantitative variable.
B. Height is a categorical variable.
C. Annual income is a quantitative variable.
D. All three are examples of qualitative data.
**Correct Answer: C**
**Rationale:** Variables in statistics are classified as either categorical (qualitative) or quantitative
(numerical) . Eye color is a categorical variable because it falls into categories. Height and annual income
are quantitative variables because they represent numerical measurements. Therefore, annual income
being a quantitative variable is the only correct statement .
, ---
**2. A professor records the scores of 10 students on a quiz: 85, 90, 78, 92, 88, 84, 79, 95, 88, 91. What
is the median score?**
A. 87.0
B. 88.0
C. 87.5
D. 88.5
**Correct Answer: B**
**Rationale:** The median is the middle value in a data set that has been ordered from least to
greatest. The ordered data is: 78, 79, 84, 85, 88, 88, 90, 91, 92, 95. Since there are 10 (an even number)
data points, the median is the average of the 5th and 6th values. The 5th value is 88 and the 6th value is
88, so the median is 88 .
---
**3. The 40th percentile of a data set is the value below which:**
A. 40% of the data lies.
B. 60% of the data lies.
C. The mean of the data falls.
D. The standard deviation is calculated.
**Correct Answer: A**
**Rationale:** Percentiles are measures of relative standing that divide a data set into 100 equal parts .
The kth percentile is a value such that at least k% of the observations are less than or equal to that
value. Therefore, the 40th percentile is the value below which approximately 40% of the data falls. .
