Police Math Calculating Averages Questions and Answers

Question 1

Officer Rodriguez recorded her response times for five emergency calls during her shift: 8 minutes, 12 minutes, 7 minutes, 15 minutes, and 8 minutes. What was her average response time for these calls?

Accepted Answer

10 minutes

Answer

The average is calculated by summing the individual response times (8 + 12 + 7 + 15 + 8 = 50 minutes) and dividing by the number of calls (5). 50 minutes / 5 calls = 10 minutes per call.

Question 2

A detective is reviewing case files. Over a four-week period, she closed an average of 9 cases per week. In the first three weeks, she closed 10, 7, and 11 cases, respectively. How many cases did she close in the fourth week?

Accepted Answer

8

Answer

To average 9 cases over 4 weeks, the detective must have closed a total of 9 * 4 = 36 cases. The sum of the cases for the first three weeks is 10 + 7 + 11 = 28. To find the number of cases closed in the fourth week, subtract the known total from the required total: 36 - 28 = 8 cases.

Question 3

An evidence locker contains three sealed envelopes of cash seized during a raid. The envelopes contain $1,250, $875, and $1,510. What is the average amount of cash per envelope?

Accepted Answer

$1,211.67

Answer

To find the average amount, add the values of the cash in all envelopes ($1,250 + $875 + $1,510 = $3,635) and then divide by the number of envelopes (3). $3,635 / 3 = $1,211.67.

Question 4

An officer patrolled three different routes. Which of the following patrols resulted in the highest average speed?

Accepted Answer

40 miles in 50 minutes

Answer

To find the average speed in miles per hour (MPH), divide the distance in miles by the time in hours. A) 20 miles / 0.5 hours = 40 MPH. B) 25 miles / (40/60) hours ≈ 37.5 MPH. C) 35 miles / 1 hour = 35 MPH. D) 40 miles / (50/60) hours = 48 MPH. Patrol D has the highest average speed.

Question 5

A police academy class has six recruits with the following ages: 22, 23, 24, 26, 27, 28. What is the mean age of the recruits?

Accepted Answer

25

Answer

The mean is calculated by summing all the ages and dividing by the number of recruits. The sum of the ages is 22 + 23 + 24 + 26 + 27 + 28 = 150. There are 6 recruits. The mean age is 150 / 6 = 25.

Police Math Test Practice Test

Police Math Test Practice Test

Police Math Calculating Averages Questions and Answers