QPSea Numeracy: Data Interpretation 3 — Questions and Answers
Question 1: A table shows response times (minutes) for 6 incidents: 4, 7, 3, 9, 5, 8. What is the median response time?
- 6 (Correct answer)
- 5
- 7
- 6.5
Correct answer: 6
Ordered: 3,4,5,7,8,9 — median = (5+7)/2 = 6 minutes.
Question 2: A bar chart shows stolen vehicle recoveries: Q1=48, Q2=62, Q3=55, Q4=71. By how much did recoveries change from Q1 to Q4?
- +23 (Correct answer)
- +19
- +27
- +15
Correct answer: +23
71 − 48 = 23 more recoveries in Q4 compared to Q1.
Question 3: A pie chart shows crime categories: Property=45%, Violent=20%, Drug=15%, Other=20%. If there were 1,200 total crimes, how many were drug-related?
- 180 (Correct answer)
- 150
- 200
- 240
Correct answer: 180
15% of 1,200 = 0.15 × 1,200 = 180 drug-related crimes.
Question 4: A line graph shows officer sick days per month over 6 months averaging 12, 10, 14, 8, 16, 10. What is the range of sick days?
- 8 (Correct answer)
- 10
- 6
- 12
Correct answer: 8
Range = maximum − minimum = 16 − 8 = 8 days.
Question 5: A two-way table shows arrests by gender and offence type. Males: Theft=30, Assault=20. Females: Theft=10, Assault=5. What percentage of theft arrests involved females?
- 25% (Correct answer)
- 33%
- 20%
- 30%
Correct answer: 25%
Female theft = 10; total theft = 40; 10/40 × 100 = 25%.
Question 6: A graph shows weekly patrol kilometres: Week 1=350, Week 2=420, Week 3=390, Week 4=440. What is the average weekly distance?
- 400 km (Correct answer)
- 410 km
- 395 km
- 385 km
Correct answer: 400 km
Mean = (350+420+390+440) / 4 = 1600/4 = 400 km.
Question 7: A cumulative frequency graph shows that 60% of incidents were resolved within 2 hours and 85% within 4 hours. What percentage were resolved between 2 and 4 hours?
- 25% (Correct answer)
- 15%
- 40%
- 30%
Correct answer: 25%
85% − 60% = 25% of incidents were resolved in the 2–4 hour window.
QPSea Numeracy: Data Interpretation 3
A table shows response times (minutes) for 6 incidents: 4, 7, 3, 9, 5, 8.
What is the median response time?