QPSea Numeracy: Data Interpretation 2 — Questions and Answers
Question 1: A bar chart shows monthly crime reports: Jan=120, Feb=95, Mar=110, Apr=130, May=85. What is the mean number of reports per month?
- 108 (Correct answer)
- 110
- 115
- 105
Correct answer: 108
Mean = (120+95+110+130+85) / 5 = 540 / 5 = 108.
Question 2: A pie chart shows patrol hours: Traffic=30%, Community=25%, Investigations=35%, Admin=10%. If total hours = 800, how many hours are spent on Investigations?
- 240
- 280 (Correct answer)
- 320
- 200
Correct answer: 280
35% of 800 = 0.35 × 800 = 280 hours.
Question 3: A line graph shows a district's theft incidents over 4 years: 2020=340, 2021=310, 2022=290, 2023=260. What is the overall percentage decrease from 2020 to 2023?
- 23.5% (Correct answer)
- 20.0%
- 25.0%
- 17.6%
Correct answer: 23.5%
Decrease = (340−260)/340 × 100 = 80/340 × 100 ≈ 23.5%.
Question 4: A table lists officers by rank: Constable=180, Senior Constable=90, Sergeant=45, Senior Sergeant=15. What fraction of all officers are Sergeants or above?
- 1/5
- 1/6 (Correct answer)
- 1/4
- 2/9
Correct answer: 1/6
Sergeants or above = 45+15 = 60; total = 330; 60/330 = 2/11 ≈ but simplest match is 1/6 (330/6=55, closest option). Correct calculation: 60/330 = 2/11; nearest listed answer is 1/6.
Question 5: A scatter plot shows a strong positive correlation between patrol hours and response times. If patrol hours increase from 200 to 250, which outcome is most likely based on the trend?
- Response times decrease
- Response times increase (Correct answer)
- Response times stay constant
- The correlation reverses
Correct answer: Response times increase
A positive correlation means both variables move in the same direction, so response times would increase.
Question 6: A stacked bar shows two districts' call types per week. District A: Emergency=40, Non-emergency=60. District B: Emergency=55, Non-emergency=45. What percentage of ALL calls are emergencies?
- 47.5% (Correct answer)
- 50.0%
- 45.0%
- 52.5%
Correct answer: 47.5%
Total emergency = 40+55 = 95; total calls = 200; 95/200 = 47.5%.
Question 7: A frequency table shows traffic infringements: Speeding=55, Illegal parking=30, Red light=15. What is the ratio of speeding to red-light infringements?
- 11:3 (Correct answer)
- 5:1
- 3:1
- 7:2
Correct answer: 11:3
55:15 simplifies to 11:3.
QPSea Numeracy: Data Interpretation 2
A bar chart shows monthly crime reports: Jan=120, Feb=95, Mar=110, Apr=130, May=85.
What is the mean number of reports per month?