Police Math Test Police Math Probability and Statistics 2 — Questions and Answers
Question 1: A department has 120 officers, and 15% are on medical leave. How many officers are currently active?
- 18
- 96
- 102 (Correct answer)
- 108
Correct answer: 102
15% of 120 = 18 on leave; 120 − 18 = 102 active officers.
Question 2: Crime reports show 48 thefts in Q1 and 36 in Q2. What is the percent decrease?
- 20%
- 25% (Correct answer)
- 33%
- 12%
Correct answer: 25%
Percent decrease = (48 − 36) / 48 × 100 = 25%.
Question 3: A police unit has a 40% clearance rate on 75 cases. How many cases were solved?
- 25
- 30 (Correct answer)
- 35
- 40
Correct answer: 30
40% of 75 = 0.40 × 75 = 30 cases solved.
Question 4: In a sample of 200 crime reports, 50 involve repeat offenders. What fraction does this represent?
- 1/3
- 1/5
- 1/4 (Correct answer)
- 2/5
Correct answer: 1/4
50/200 = 1/4.
Question 5: The response times in minutes are: 6, 12, 8, 15, 9, 11, 7. What is the range?
- 7
- 8
- 9 (Correct answer)
- 6
Correct answer: 9
Range = maximum − minimum = 15 − 6 = 9.
Question 6: Over 10 days, daily crime totals are: 5, 3, 7, 4, 6, 8, 2, 9, 4, 5. What is the mean (average)?
- 5.1
- 5.3 (Correct answer)
- 5.5
- 4.8
Correct answer: 5.3
Sum = 53; 53 ÷ 10 = 5.3.
Police Math Test Police Math Probability and Statistics 2
A department has 120 officers, and 15% are on medical leave.
How many officers are currently active?