NBT NBT Quantitative Literacy: Charts, Tables and Graphs 5 — Questions and Answers
Question 1: A bar chart shows sports participation: soccer 180, rugby 120, netball 60, cricket 40. What percentage of participants play soccer?
- 45% (Correct answer)
- 36%
- 18%
- 50%
Correct answer: 45%
Total = 400; soccer % = 180/400 × 100% = 45%.
Question 2: A line graph of a school's enrolment shows consistent growth. In 2018, enrolment was 800; in 2022 it was 1 000. Extrapolating, what would be expected in 2024?
- 1 100 (Correct answer)
- 1 200
- 900
- 1 050
Correct answer: 1 100
Annual increase = 200/4 = 50 per year; 2024 projection = 1 000 + 2 × 50 = 1 100.
Question 3: A table shows the following test scores: 55, 62, 70, 70, 85, 90. What is the median score?
- 70 (Correct answer)
- 72
- 66
- 85
Correct answer: 70
With 6 values, median = average of 3rd and 4th values = (70 + 70)/2 = 70.
Question 4: A graph shows two lines: one for income and one for expenses. The business makes a profit when:
- The income line is above the expenses line (Correct answer)
- The two lines intersect
- The expenses line is above the income line
- Both lines are increasing
Correct answer: The income line is above the expenses line
Profit occurs when income exceeds expenses, i.e., when the income line lies above the expenses line.
Question 5: A table shows production costs: fixed R5 000 and R12 per unit. If 300 units are produced, the total cost is:
- R8 600 (Correct answer)
- R3 600
- R17 000
- R5 012
Correct answer: R8 600
Total cost = fixed + variable = R5 000 + (300 × R12) = R5 000 + R3 600 = R8 600.
Question 6: A pie chart shows that 3/8 of a class prefers online learning. In a class of 240, how many prefer online learning?
- 90 (Correct answer)
- 80
- 60
- 120
Correct answer: 90
3/8 × 240 = 90 learners prefer online learning.
Question 7: Two bar charts use different y-axis scales to display the same data. Chart A makes the difference look large; Chart B makes it look small. This is an example of:
- A misleading graph (Correct answer)
- Incorrect data
- A histogram
- Extrapolation
Correct answer: A misleading graph
Changing the y-axis scale can visually exaggerate or minimise differences, creating a misleading impression of the data.
NBT NBT Quantitative Literacy: Charts, Tables and Graphs 5
A bar chart shows sports participation: soccer 180, rugby 120, netball 60, cricket 40.
What percentage of participants play soccer?