AQL Data Interpretation and Graphs 2 — Questions and Answers
Question 1: A histogram differs from a bar graph in that a histogram:
- Shows the distribution of continuous data grouped into intervals (Correct answer)
- Compares categories using separate bars
- Displays parts of a whole as slices
- Shows a trend over time using connected points
Correct answer: Shows the distribution of continuous data grouped into intervals
A histogram groups continuous data into intervals (bins) and shows frequency distribution, whereas a bar graph compares distinct categories.
Question 2: If a table shows that Product A sold 300 units and Product B sold 450 units, what is the ratio of Product A sales to Product B sales in simplest form?
- 2:3 (Correct answer)
- 3:4
- 1:2
- 3:5
Correct answer: 2:3
300:450 simplifies by dividing both by 150 to get 2:3.
Question 3: A double bar graph is most useful for:
- Comparing two data sets across the same categories (Correct answer)
- Showing the percentage composition of a whole
- Displaying a single variable's trend over time
- Depicting the frequency of intervals in a data set
Correct answer: Comparing two data sets across the same categories
A double bar graph places two bars side by side for each category, making it easy to compare two related data sets.
Question 4: From a data table, total sales went from $80,000 to $100,000 year over year. What is the percent increase?
- 25% (Correct answer)
- 20%
- 80%
- 2%
Correct answer: 25%
Percent increase = (100,000 − 80,000) / 80,000 × 100 = 20,000 / 80,000 × 100 = 25%.
Question 5: A stem-and-leaf plot is used to:
- Display individual data values while showing the shape of the distribution (Correct answer)
- Compare parts of a whole using percentages
- Plot the relationship between two quantitative variables
- Show changes in a measurement over time
Correct answer: Display individual data values while showing the shape of the distribution
A stem-and-leaf plot organizes individual data values by splitting them into stems and leaves, showing both distribution shape and exact values.
Question 6: Which graph would best display the proportion of time a student spends on homework, sports, reading, and leisure each week?
- Pie chart (Correct answer)
- Scatter plot
- Histogram
- Line graph
Correct answer: Pie chart
A pie chart is ideal for showing how a whole is divided into parts, making it perfect for illustrating proportional breakdowns.
AQL Data Interpretation and Graphs 2
A histogram differs from a bar graph in that a histogram: