FSOT Mathematics and Statistics 4

Question 1

What is the mode of this dataset: 5, 8, 12, 8, 3, 15, 8, 12, 5?

Accepted Answer

8

Answer

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?

Accepted Answer

13,800

Answer

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?

Accepted Answer

7% per year

Answer

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?

Accepted Answer

160,000

Answer

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?

Accepted Answer

4 days

Answer

Rate = 200/(5×4) = 10 reports/officer/day; 320/(8×10) = 4 days.

FSOT Test Practice Test

FSOT Test Practice Test

FSOT Mathematics and Statistics 4