Police Math Test Police Math Calculating Averages 5

Question 1

Response times are 2, 4, 6, 100, and 4 minutes due to one outlier. Which average best represents typical performance?

Accepted Answer

The median of 4 minutes

Answer

The median resists the extreme outlier and reflects the typical 4-minute time.

Question 2

Officer A averages 5 arrests over 2 months and Officer B averages 8 over 4 months. What is the combined average per month?

Accepted Answer

7

Answer

Total arrests are 10 plus 32 equals 42, divided by 6 months equals 7.

Question 3

An officer averaged 6 citations per shift over 5 shifts, then 9 over the next 3 shifts. What is the overall average?

Accepted Answer

7.125

Answer

Total is 30 plus 27 equals 57, divided by 8 shifts equals about 7.125.

Question 4

A weighted score uses tests at 70% and a final at 30%. With a test average of 80 and a final of 90, what is the weighted average?

Accepted Answer

83

Answer

0.70 times 80 plus 0.30 times 90 equals 56 plus 27, which is 83.

Question 5

Daily call counts are 4, 4, 5, 5, and 7. What is the mode of this data set?

Accepted Answer

4 and 5

Answer

Both 4 and 5 appear twice, making the set bimodal with modes 4 and 5.

Police Math Test Practice Test