University of Phoenix MTH208: Statistics –
Final Exam (150+ Questions and Answers
with Rationales)
COURSE OVERVIEW
MTH208 Statistics is a foundational course that
introduces students to the basic concepts and methods
of statistics. The course covers data collection and
presentation, descriptive statistics, probability, sampling
distributions, confidence intervals, hypothesis testing,
correlation, and regression. Students learn to apply
statistical techniques to real-world problems and
interpret results.
Key Topics Covered on the Final Exam:
• Descriptive Statistics (Measures of Central Tendency
& Dispersion)
• Data Presentation (Graphs, Charts, Frequency
Distributions)
• Probability (Basic Rules, Conditional Probability,
Bayes' Theorem)
, • Discrete and Continuous Probability Distributions
• Sampling Distributions and the Central Limit
Theorem
• Confidence Intervals (Population Mean and
Proportion)
• Hypothesis Testing (One-Sample, Two-Sample,
Paired)
• Correlation and Linear Regression
• Chi-Square Tests
• Analysis of Variance (ANOVA)
PART 1: DESCRIPTIVE STATISTICS (Questions 1-30)
Question 1
What is the mean of the following data set: 4, 8, 6, 5, 3?
• A) 4.0
• B) 5.0
• C) 5.2
• D) 6.0
• Answer: C
, • Rationale: Mean = (4 + 8 + 6 + 5 + 3) / 5 = =
5.2.
Question 2
What is the median of the data set: 12, 7, 9, 5, 10?
• A) 7
• B) 8
• C) 9
• D) 10
• Answer: C
• Rationale: Sorted: 5, 7, 9, 10, 12. Median is the
middle value = 9.
Question 3
What is the mode of the data set: 2, 3, 4, 4, 5, 6, 6, 6, 7?
• A) 4
• B) 5
• C) 6
• D) 7
, • Answer: C
• Rationale: The mode is the value that appears most
frequently: 6 appears three times.
Question 4
What is the median of the data set: 3, 7, 8, 5, 12, 10?
• A) 7
• B) 7.5
• C) 8
• D) 8.5
• Answer: B
• Rationale: Sorted: 3, 5, 7, 8, 10, 12. Median =
average of middle two values = (7 + 8) / 2 = 7.5.
Question 5
What is the range of the data set: 15, 22, 18, 30, 25?
• A) 10
• B) 15
• C) 20
Final Exam (150+ Questions and Answers
with Rationales)
COURSE OVERVIEW
MTH208 Statistics is a foundational course that
introduces students to the basic concepts and methods
of statistics. The course covers data collection and
presentation, descriptive statistics, probability, sampling
distributions, confidence intervals, hypothesis testing,
correlation, and regression. Students learn to apply
statistical techniques to real-world problems and
interpret results.
Key Topics Covered on the Final Exam:
• Descriptive Statistics (Measures of Central Tendency
& Dispersion)
• Data Presentation (Graphs, Charts, Frequency
Distributions)
• Probability (Basic Rules, Conditional Probability,
Bayes' Theorem)
, • Discrete and Continuous Probability Distributions
• Sampling Distributions and the Central Limit
Theorem
• Confidence Intervals (Population Mean and
Proportion)
• Hypothesis Testing (One-Sample, Two-Sample,
Paired)
• Correlation and Linear Regression
• Chi-Square Tests
• Analysis of Variance (ANOVA)
PART 1: DESCRIPTIVE STATISTICS (Questions 1-30)
Question 1
What is the mean of the following data set: 4, 8, 6, 5, 3?
• A) 4.0
• B) 5.0
• C) 5.2
• D) 6.0
• Answer: C
, • Rationale: Mean = (4 + 8 + 6 + 5 + 3) / 5 = =
5.2.
Question 2
What is the median of the data set: 12, 7, 9, 5, 10?
• A) 7
• B) 8
• C) 9
• D) 10
• Answer: C
• Rationale: Sorted: 5, 7, 9, 10, 12. Median is the
middle value = 9.
Question 3
What is the mode of the data set: 2, 3, 4, 4, 5, 6, 6, 6, 7?
• A) 4
• B) 5
• C) 6
• D) 7
, • Answer: C
• Rationale: The mode is the value that appears most
frequently: 6 appears three times.
Question 4
What is the median of the data set: 3, 7, 8, 5, 12, 10?
• A) 7
• B) 7.5
• C) 8
• D) 8.5
• Answer: B
• Rationale: Sorted: 3, 5, 7, 8, 10, 12. Median =
average of middle two values = (7 + 8) / 2 = 7.5.
Question 5
What is the range of the data set: 15, 22, 18, 30, 25?
• A) 10
• B) 15
• C) 20
