FSOT Mathematics and Statistics 4 — Questions and Answers
Question 1: What is the mode of this dataset: 5, 8, 12, 8, 3, 15, 8, 12, 5?
- 5
- 8 (Correct answer)
- 12
- 15
Correct answer: 8
The value 8 appears three times, more than any other value, making it the mode.
Question 2: A foreign service officer converts $15,000 USD to euros at an exchange rate of 1 USD = 0.92 EUR. How many euros does she receive?
- 13,600
- 13,800 (Correct answer)
- 14,200
- 16,300
Correct answer: 13,800
15,000 × 0.92 = 13,800 euros.
Question 3: A line graph shows exports rising from index 100 in 2018 to index 145 in 2023. Which annual growth rate best approximates this increase?
- 5% per year
- 7% per year (Correct answer)
- 9% per year
- 12% per year
Correct answer: 7% per year
Using CAGR: (145/100)^(1/5) - 1 ≈ 1.45^0.2 - 1 ≈ 1.0773 - 1 ≈ 7.7%, closest to 7%.
Question 4: Two candidates in a foreign country receive 54% and 38% of votes, with the rest going to third parties. If 2 million votes were cast, how many votes did the third-party candidates receive?
- 80,000
- 160,000 (Correct answer)
- 180,000
- 200,000
Correct answer: 160,000
Third party share = 100% - 54% - 38% = 8%; 8% × 2,000,000 = 160,000 votes.
Question 5: If 5 officers can review 200 reports in 4 days, how many days would it take 8 officers to review 320 reports?
- 3 days
- 4 days (Correct answer)
- 5 days
- 6 days
Correct answer: 4 days
Rate = 200/(5×4) = 10 reports/officer/day; 320/(8×10) = 4 days.
Question 6: A pie chart shows a country's budget divided among Defense (30%), Education (25%), Health (20%), Infrastructure (15%), and Other (10%). If the total budget is $80 billion, what is the dollar value of the Education sector?
- $16 billion
- $20 billion (Correct answer)
- $24 billion
- $25 billion
Correct answer: $20 billion
Education = 25% × $80 billion = $20 billion.
Question 7: What is the range of the following values representing treaty compliance scores: 82, 67, 91, 74, 58, 88, 79?
- 24
- 29
- 33 (Correct answer)
- 41
Correct answer: 33
Range = maximum - minimum = 91 - 58 = 33.
FSOT Mathematics and Statistics 4
What is the mode of this dataset: 5, 8, 12, 8, 3, 15, 8, 12, 5?