Statistics 2026/2027 | Portage Learning |
Verified Questions & Answers | 100%
Correct | Grade A
MODULE 1: INTRODUCTION TO STATISTICS & VARIABLES
1. What are statistics?
A. A branch of mathematics focused only on calculus
B. The mathematical field that allows us to organize, summarize, describe, and
interpret different forms of information
C. A method of proving theories with absolute certainty
D. Only the graphical representation of data
Correct ,,,,ANSWER,,,: B
Rationale: Statistics is defined as the mathematical field that enables researchers
to organize, summarize, describe, and interpret information. It is not about absolute
proof (statistics provides probabilistic evidence), nor is it limited to graphs or
calculus.
,2. Which of the following is a reason why statistics are important? (Select all that
apply)
A. Statistics allow data to be described and communicated succinctly and
concisely
B. Statistics allow inferences to be drawn about data when it is not feasible to
collect information from all members of a group
C. Statistics equip us with tools to critically evaluate information
D. Statistics eliminate the need for critical thinking in research
Correct ,,,,ANSWER,,,: A, B, C
Rationale: Statistics serve three primary purposes: (1) concise data
communication, (2) drawing inferences from samples to populations, and (3)
providing tools for critical evaluation of information. Statistics do NOT eliminate the
need for critical thinking; rather, they depend on it.
3. What type of variable is measured in non-numerical terms using categories or
labels?
A. Quantitative variable
B. Discrete variable
C. Qualitative variable
D. Continuous variable
Correct ,,,,ANSWER,,,: C
Rationale: Qualitative variables (also called categorical variables) are measured
using non-numerical categories or labels such as gender, ethnicity, or religious
affiliation. Quantitative variables are numerical.
,4. Which of the following are examples of qualitative variables? (Select all that
apply)
A. Weight in pounds
B. Religious affiliation
C. Eye color
D. Test scores
Correct ,,,,ANSWER,,,: B, C
Rationale: Qualitative variables use categories or labels. Religious affiliation (e.g.,
Christian, Muslim, Jewish) and eye color (e.g., blue, brown, green) are qualitative.
Weight and test scores are numerical (quantitative).
5. Variables measured in numerical terms are called:
A. Qualitative variables
B. Quantitative variables
C. Ordinal variables
D. Nominal variables
Correct ,,,,ANSWER,,,: B
Rationale: Quantitative variables are measured in numerical terms (e.g., height,
weight, age, test scores). Qualitative variables use categories or labels.
6. Discrete variables are characterized by:
A. Being measured on a continuous scale with infinite possible values
B. Holding discrete values that can be organized into separate categories or
counted using whole numbers
, C. Being measured only as percentages
D. Having no numerical value
Correct ,,,,ANSWER,,,: B
Rationale: Discrete variables take on whole number values that can be counted
(e.g., number of children, number of patients in a hospital). They cannot be
meaningfully divided into fractional parts.
7. Which of the following is an example of a discrete variable?
A. Temperature in degrees Celsius
B. Height in inches
C. Number of students in a classroom
D. Time to complete a task
Correct ,,,,ANSWER,,,: C
Rationale: The number of students in a classroom is a discrete variable because it
can only take on whole number values (you cannot have 12.5 students).
Temperature, height, and time are continuous variables.
8. Continuous variables can be defined as:
A. Variables that only take on whole number values
B. Variables that can theoretically be broken down into infinitely smaller, fractional
components
C. Variables measured using only categories
D. Variables that have no meaningful zero point