Police Math Test Police Math Probability and Statistics 2

Question 1

A department has 120 officers, and 15% are on medical leave. How many officers are currently active?

Accepted Answer

102

Answer

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?

Accepted Answer

25%

Answer

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?

Accepted Answer

30

Answer

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?

Accepted Answer

1/4

Answer

50/200 = 1/4.

Question 5

The response times in minutes are: 6, 12, 8, 15, 9, 11, 7. What is the range?

Accepted Answer

9

Answer

Range = maximum − minimum = 15 − 6 = 9.

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