MATH 110 Statistics Module 2 Exam with Frequently Asked Questions and Verified Answers

MATH 110 Statistics Module 2 Exam with Frequently Asked Questions and Verified Answers What is the arithmetic mean of the sample data set: 8, 12, 15, 10, and 5? a. 9 b. 10 c. 12 d. 15 Correct Answer: b. 10 Rationale: The arithmetic mean for a sample is calculated as x̄ = Σx / n. The sum of the values is 8 + 12 + 15 + 10 + 5 = 50. Dividing by the number of observations (5) gives x̄ = 50/5 = 10. A population consists of the values 4, 6, 8, 10, and 12. What is the population mean (μ)? a. 7 b. 8 c. 9 d. 10 Correct Answer: b. 8 Rationale: The population mean is calculated using μ = ΣX / N. The total is 4 + 6 + 8 + 10 + 12 = 40. Dividing by the population size (5) gives μ = 40/5 = 8. A researcher records the daily number of customers entering a store over six days: 22, 25, 20, 18, 30, and 35. What is the sample mean? a. 25 b. 26 c. 24 d. 28 Correct Answer: a. 25 Rationale: Sum the observations: 22 + 25 + 20 + 18 + 30 + 35 = 150. Divide by the sample size of 6. Thus, x̄ = 150/6 = 25.