Police Math Test Police Math Probability and Statistics 1 — Questions and Answers
Question 1: A police department records 45 burglaries in January and 60 in February. What is the percent increase?
- 25%
- 33.3% (Correct answer)
- 15%
- 40%
Correct answer: 33.3%
Percent increase = (60 − 45) / 45 × 100 = 33.3%.
Question 2: In a resident survey, 240 out of 800 people reported feeling unsafe. What percentage felt unsafe?
- 25%
- 35%
- 30% (Correct answer)
- 20%
Correct answer: 30%
240 ÷ 800 × 100 = 30%.
Question 3: A city has 5 precincts with crime counts of 22, 18, 30, 25, and 15. What is the median crime count?
- 18
- 22 (Correct answer)
- 25
- 30
Correct answer: 22
Ordered: 15, 18, 22, 25, 30 — the middle value is 22.
Question 4: If 3 out of 15 traffic stops result in a citation, what is the probability the next stop results in a citation?
- 1/3
- 1/4
- 1/5 (Correct answer)
- 2/5
Correct answer: 1/5
3/15 simplifies to 1/5, so the probability is 1/5 (20%).
Question 5: A dispatcher handles 360 calls over 5 days. What is the average number of calls per day?
- 60
- 65
- 70
- 72 (Correct answer)
Correct answer: 72
360 ÷ 5 = 72 calls per day.
Question 6: The response times (minutes) for 7 calls are: 4, 7, 4, 9, 7, 4, 8. What is the mode?
- 7
- 4 (Correct answer)
- 8
- 9
Correct answer: 4
4 appears three times, more than any other value, so 4 is the mode.
A police department records 45 burglaries in January and 60 in February.
What is the percent increase?