AQL Data Interpretation and Graphs 1 — Questions and Answers
Question 1: A bar graph shows that City A has 40,000 residents and City B has 25,000 residents. How many more residents does City A have than City B?
- 15,000 (Correct answer)
- 65,000
- 10,000
- 5,000
Correct answer: 15,000
40,000 − 25,000 = 15,000 more residents in City A than City B.
Question 2: A pie chart shows that 35% of a budget goes to salaries. If the total budget is $200,000, how much is spent on salaries?
- $70,000 (Correct answer)
- $35,000
- $65,000
- $140,000
Correct answer: $70,000
35% of $200,000 = 0.35 × 200,000 = $70,000.
Question 3: A line graph shows test scores rising from 65 in January to 82 in June. What is the overall increase in points?
- 17 (Correct answer)
- 12
- 82
- 147
Correct answer: 17
82 − 65 = 17 points of increase over the period.
Question 4: Which type of graph is most appropriate for showing changes in a variable over time?
- Line graph (Correct answer)
- Pie chart
- Histogram
- Scatter plot
Correct answer: Line graph
Line graphs are specifically designed to show trends and changes in a variable over a continuous time period.
Question 5: A table shows that 120 out of 480 students chose science as their favorite subject. What percentage chose science?
- 25% (Correct answer)
- 40%
- 12%
- 30%
Correct answer: 25%
120 ÷ 480 = 0.25, and 0.25 × 100 = 25%.
Question 6: In a scatter plot, a positive correlation means that:
- As one variable increases, the other variable also tends to increase (Correct answer)
- As one variable increases, the other decreases
- The two variables have no relationship
- The data points form a horizontal line
Correct answer: As one variable increases, the other variable also tends to increase
A positive correlation means both variables tend to move in the same direction—when one goes up, the other also goes up.
A bar graph shows that City A has 40,000 residents and City B has 25,000 residents.
How many more residents does City A have than City B?