MATH 110 Module 6 Exam: Statistics (Portage Learning)
(2026/2027)
Introductory Statistics Module Examination | Key Domains: Descriptive Statistics (Measures of
Center & Spread), Probability Rules & Distributions, Confidence Intervals, Hypothesis Testing (One
Sample), Correlation & Linear Regression, and Statistical Software Interpretation | Expert-Aligned
Structure | Multiple-Choice Module Exam Format
Introduction
This structured MATH 110 Module 6 Exam for Portage Learning (2026/2027) provides 40
multiple-choice questions with correct answers and rationales. It is designed to assess
comprehension of fundamental statistical concepts covered in a typical introductory course, with an
emphasis on application, calculation, and interpretation of results.
Exam Structure:
● Module 6 Statistics Exam: (40 MULTIPLE-CHOICE QUESTIONS)
Answer Format
All correct answers, statistical conclusions, and calculated values must appear in bold and cyan
blue, accompanied by concise rationales explaining the correct statistical procedure (e.g., "Use a
t-interval for a population mean when σ is unknown"), the step-by-step calculation (e.g., margin of
error formula), the interpretation of a p-value or correlation coefficient, the conditions for using a
specific test, and why the alternative multiple-choice options represent incorrect formulas,
misinterpretations, or violations of statistical assumptions.
Module 6 Statistics Exam (40 Multiple-Choice Questions)
1. A data set has a mean of 50 and a standard deviation of 10. What is the z-score for a value
of 70?
, A. 1.0
B. 1.5
C. 2.0
D. 2.5
C. 2.0
Rationale: z = (x - μ) / σ = (70 - 50) / 10 = = 2.0. A z-score of 2 means the value is 2 standard
deviations above the mean. Option A would be for x=60; B for x=65; D for x=75.
2. Which measure of central tendency is most affected by outliers?
A. Mean
B. Median
C. Mode
D. All are equally affected
A. Mean
Rationale: The mean uses all data values in its calculation, so extreme values (outliers) pull it toward
them. The median is resistant to outliers as it depends only on the middle value(s). The mode may or
may not be affected, but is generally less sensitive than the mean.
3. In a normal distribution, approximately what percent of data falls within one standard
deviation of the mean?
A. 50%
B. 68%
C. 95%
D. 99.7%
B. 68%
Rationale: The Empirical Rule states that for a normal distribution: ~68% within 1σ, ~95% within 2σ,
and ~99.7% within 3σ of the mean. This is a foundational concept in descriptive statistics.
4. If P(A) = 0.4 and P(B) = 0.5, and A and B are independent, what is P(A and B)?
(2026/2027)
Introductory Statistics Module Examination | Key Domains: Descriptive Statistics (Measures of
Center & Spread), Probability Rules & Distributions, Confidence Intervals, Hypothesis Testing (One
Sample), Correlation & Linear Regression, and Statistical Software Interpretation | Expert-Aligned
Structure | Multiple-Choice Module Exam Format
Introduction
This structured MATH 110 Module 6 Exam for Portage Learning (2026/2027) provides 40
multiple-choice questions with correct answers and rationales. It is designed to assess
comprehension of fundamental statistical concepts covered in a typical introductory course, with an
emphasis on application, calculation, and interpretation of results.
Exam Structure:
● Module 6 Statistics Exam: (40 MULTIPLE-CHOICE QUESTIONS)
Answer Format
All correct answers, statistical conclusions, and calculated values must appear in bold and cyan
blue, accompanied by concise rationales explaining the correct statistical procedure (e.g., "Use a
t-interval for a population mean when σ is unknown"), the step-by-step calculation (e.g., margin of
error formula), the interpretation of a p-value or correlation coefficient, the conditions for using a
specific test, and why the alternative multiple-choice options represent incorrect formulas,
misinterpretations, or violations of statistical assumptions.
Module 6 Statistics Exam (40 Multiple-Choice Questions)
1. A data set has a mean of 50 and a standard deviation of 10. What is the z-score for a value
of 70?
, A. 1.0
B. 1.5
C. 2.0
D. 2.5
C. 2.0
Rationale: z = (x - μ) / σ = (70 - 50) / 10 = = 2.0. A z-score of 2 means the value is 2 standard
deviations above the mean. Option A would be for x=60; B for x=65; D for x=75.
2. Which measure of central tendency is most affected by outliers?
A. Mean
B. Median
C. Mode
D. All are equally affected
A. Mean
Rationale: The mean uses all data values in its calculation, so extreme values (outliers) pull it toward
them. The median is resistant to outliers as it depends only on the middle value(s). The mode may or
may not be affected, but is generally less sensitive than the mean.
3. In a normal distribution, approximately what percent of data falls within one standard
deviation of the mean?
A. 50%
B. 68%
C. 95%
D. 99.7%
B. 68%
Rationale: The Empirical Rule states that for a normal distribution: ~68% within 1σ, ~95% within 2σ,
and ~99.7% within 3σ of the mean. This is a foundational concept in descriptive statistics.
4. If P(A) = 0.4 and P(B) = 0.5, and A and B are independent, what is P(A and B)?
