Numerical Reasoning and Data Interpretation Flashcards

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

Answer: 3.3

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

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

Answer: 23

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

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?

Answer: $2,250,000

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

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?

Answer: 182

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

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

Answer: 94

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

An officer works 8-hour shifts and logs 45 minutes of report writing per shift on average. What percentage of each shift is spent on report writing?

Answer: 9.4%

45 ÷ 480 × 100 = 9.375% ≈ 9.4%.

A frequency table shows complaints: Use of Force 22, Discourtesy 41, Improper Procedure 33, Other 14. What fraction of total complaints are categorized as Improper Procedure?

Answer: 3/10

Total = 22 + 41 + 33 + 14 = 110; Improper Procedure = 33/110 = 3/10.