MATH 110 Statistics Final Exam | Latest
2025/2026 Edition | Portage Learning | Verified
Questions and Answers | A+ Graded
Section 1: Introduction
This document includes the verified and complete final exam for MATH 110 – Statistics
from Portage Learning, fully updated for the 2025/2026 academic year. It covers all major
statistical topics including descriptive statistics, probability, normal distributions, hypothesis
testing, confidence intervals, linear regression, chi-square tests, and ANOVA. Each question
has been A+ graded and professor-verified, providing students with reliable exam preparation
and a clear understanding of key statistical methods.
Section 2: Exam Questions and Answers
Format: Multiple-choice and applied problem-solving questions
Four answer choices per question (A–D)
Correct answer highlighted Includes concise solution logic where appropriate
1. Question 1: What is the mean of the dataset: 2, 4, 6, 8, 10?
o (a) 5
o (b) 6
o (c) 7
o (d) 8
Explanation: Mean = (2 + 4 + 6 + 8 + 10) / 5 = = 6.
2. Question 2: What is the median of the dataset: 1, 3, 5, 7, 9?
o (a) 3
o (b) 5
o (c) 7
o (d) 9
Explanation: Median is the middle value = 5.
3. Question 3: What is the mode of the dataset: 1, 2, 2, 3, 4?
o (a) 1
o (b) 2
o (c) 3
o (d) 4
Explanation: Mode is the most frequent value = 2.
4. Question 4: What is the range of the dataset: 5, 10, 15, 20, 25?
o (a) 10
o (b) 20
o (c) 25
o (d) 30
Explanation: Range = Max - Min = 25 - 5 = 20.
5. Question 5: What is the standard deviation of 2, 4, 6 (sample)?
o (a) 1.63
o (b) 2
o (c) 2.45
, o (d) 3
Explanation: s = √[((2-4)² + (4-4)² + (6-4)²) / (3-1)] = √ = 2.
6. Question 6: What is the variance of 3, 5, 7 (population)?
o (a) 2
o (b) 4
o (c) 6
o (d) 8
Explanation: σ² = [((3-5)² + (5-5)² + (7-5)²) / 3] = ≈ 4 (adjusted).
7. Question 7: What is P(A) if P(A^c) = 0.7?
o (a) 0.3
o (b) 0.5
o (c) 0.7
o (d) 1
Explanation: P(A) = 1 - P(A^c) = 1 - 0.7 = 0.3.
8. Question 8: If P(A) = 0.4 and P(B) = 0.3, what is P(A and B) if independent?
o (a) 0.12
o (b) 0.12
o (c) 0.7
o (d) 0.1
Explanation: P(A and B) = P(A) × P(B) = 0.4 × 0.3 = 0.12.
9. Question 9: What is the probability of rolling a 4 on a fair die?
o (a) 1/6
o (b) 1/4
o (c) 1/3
o (d) 1/2
Explanation: 1 favorable outcome out of 6 = 1/6.
10. Question 10: What is the z-score for 90% confidence?
o (a) 1.645
o (b) 1.96
o (c) 2.33
o (d) 2.58
Explanation: z for 90% is approximately 1.645 (one-tailed), but 95% is 1.96
(context adjusted).
11. Question 11: What is a 95% confidence interval for mean 50, SE 2?
o (a) (46, 54)
o (b) (47, 53)
o (c) (48, 52)
o (d) (49, 51)
Explanation: CI = 50 ± (1.96 × 2) = (46, 54).
12. Question 12: What is the critical z for 99% confidence?
o (a) 1.645
o (b) 1.96
o (c) 2.33
o (d) 2.58
Explanation: z for 99% confidence.
13. Question 13: What is the margin of error for mean 100, SE 1.5, 95% confidence?
o (a) 2.94
o (b) 2.94
o (c) 3
2025/2026 Edition | Portage Learning | Verified
Questions and Answers | A+ Graded
Section 1: Introduction
This document includes the verified and complete final exam for MATH 110 – Statistics
from Portage Learning, fully updated for the 2025/2026 academic year. It covers all major
statistical topics including descriptive statistics, probability, normal distributions, hypothesis
testing, confidence intervals, linear regression, chi-square tests, and ANOVA. Each question
has been A+ graded and professor-verified, providing students with reliable exam preparation
and a clear understanding of key statistical methods.
Section 2: Exam Questions and Answers
Format: Multiple-choice and applied problem-solving questions
Four answer choices per question (A–D)
Correct answer highlighted Includes concise solution logic where appropriate
1. Question 1: What is the mean of the dataset: 2, 4, 6, 8, 10?
o (a) 5
o (b) 6
o (c) 7
o (d) 8
Explanation: Mean = (2 + 4 + 6 + 8 + 10) / 5 = = 6.
2. Question 2: What is the median of the dataset: 1, 3, 5, 7, 9?
o (a) 3
o (b) 5
o (c) 7
o (d) 9
Explanation: Median is the middle value = 5.
3. Question 3: What is the mode of the dataset: 1, 2, 2, 3, 4?
o (a) 1
o (b) 2
o (c) 3
o (d) 4
Explanation: Mode is the most frequent value = 2.
4. Question 4: What is the range of the dataset: 5, 10, 15, 20, 25?
o (a) 10
o (b) 20
o (c) 25
o (d) 30
Explanation: Range = Max - Min = 25 - 5 = 20.
5. Question 5: What is the standard deviation of 2, 4, 6 (sample)?
o (a) 1.63
o (b) 2
o (c) 2.45
, o (d) 3
Explanation: s = √[((2-4)² + (4-4)² + (6-4)²) / (3-1)] = √ = 2.
6. Question 6: What is the variance of 3, 5, 7 (population)?
o (a) 2
o (b) 4
o (c) 6
o (d) 8
Explanation: σ² = [((3-5)² + (5-5)² + (7-5)²) / 3] = ≈ 4 (adjusted).
7. Question 7: What is P(A) if P(A^c) = 0.7?
o (a) 0.3
o (b) 0.5
o (c) 0.7
o (d) 1
Explanation: P(A) = 1 - P(A^c) = 1 - 0.7 = 0.3.
8. Question 8: If P(A) = 0.4 and P(B) = 0.3, what is P(A and B) if independent?
o (a) 0.12
o (b) 0.12
o (c) 0.7
o (d) 0.1
Explanation: P(A and B) = P(A) × P(B) = 0.4 × 0.3 = 0.12.
9. Question 9: What is the probability of rolling a 4 on a fair die?
o (a) 1/6
o (b) 1/4
o (c) 1/3
o (d) 1/2
Explanation: 1 favorable outcome out of 6 = 1/6.
10. Question 10: What is the z-score for 90% confidence?
o (a) 1.645
o (b) 1.96
o (c) 2.33
o (d) 2.58
Explanation: z for 90% is approximately 1.645 (one-tailed), but 95% is 1.96
(context adjusted).
11. Question 11: What is a 95% confidence interval for mean 50, SE 2?
o (a) (46, 54)
o (b) (47, 53)
o (c) (48, 52)
o (d) (49, 51)
Explanation: CI = 50 ± (1.96 × 2) = (46, 54).
12. Question 12: What is the critical z for 99% confidence?
o (a) 1.645
o (b) 1.96
o (c) 2.33
o (d) 2.58
Explanation: z for 99% confidence.
13. Question 13: What is the margin of error for mean 100, SE 1.5, 95% confidence?
o (a) 2.94
o (b) 2.94
o (c) 3
