OACP Numerical Reasoning and Data Interpretation 5

Question 1

A line graph shows crime rates per 1,000 residents: 2021 = 42, 2022 = 38, 2023 = 35, 2024 = 32. What is the average annual decrease?

Accepted Answer

3.3

Answer

Total decrease = 42 − 32 = 10 over 3 intervals; average = 10 ÷ 3 ≈ 3.3 per year.

Question 2

Officers complete a fitness test scored out of 100. Scores: 78, 85, 91, 72, 88, 95, 80. What is the range of these scores?

Accepted Answer

23

Answer

Range = highest − lowest = 95 − 72 = 23.

Question 3

A department budget of $4,500,000 allocates 32% to personnel, 18% to equipment, and the rest to operations. How much is allocated to operations?

Accepted Answer

$2,250,000

Answer

Operations = 100% − 32% − 18% = 50%; $4,500,000 × 0.50 = $2,250,000.

Question 4

A trend shows that for every 10 additional patrol officers deployed, reported burglaries decrease by 14. If the current force of 50 officers yields 210 burglaries, how many are expected with 70 officers?

Accepted Answer

182

Answer

Adding 20 officers (2 groups of 10) reduces burglaries by 2 × 14 = 28; 210 − 28 = 182.

Question 5

A table shows 5 precincts with arrest totals: 87, 103, 76, 94, 110. Which listed value is exactly equal to the mean?

Accepted Answer

94

Answer

Mean = (87 + 103 + 76 + 94 + 110) ÷ 5 = 470 ÷ 5 = 94.

OACP - Ontario Association of Chief of Police Practice Test

OACP - Ontario Association of Chief of Police Practice Test

OACP Numerical Reasoning and Data Interpretation 5