NBT Quantitative Literacy Data Interpretation 3 — Questions and Answers
Question 1: A double bar chart compares male and female enrollment in four university faculties. Science: M=300, F=250; Arts: M=180, F=320; Law: M=210, F=190; Engineering: M=400, F=150. Which faculty has the smallest gender gap?
- Law (Correct answer)
- Science
- Arts
- Engineering
Correct answer: Law
Gender gaps: Science=50, Arts=140, Law=20, Engineering=250 — Law has the smallest gap of 20.
Question 2: A cumulative frequency graph (ogive) shows that 60% of students scored below 55 marks. If the class has 200 students, how many scored 55 or above?
- 80 (Correct answer)
- 120
- 60
- 140
Correct answer: 80
60% scored below 55, so 40% scored 55 or above; 40% of 200 = 80 students.
Question 3: A table shows rainfall (mm) over six months: Jan=80, Feb=60, Mar=95, Apr=110, May=70, Jun=85. What is the mean monthly rainfall?
- 83.3 mm (Correct answer)
- 87.5 mm
- 80 mm
- 95 mm
Correct answer: 83.3 mm
Sum = 80+60+95+110+70+85 = 500; Mean = 500/6 ≈ 83.3 mm.
Question 4: A stacked bar chart shows energy sources (coal, solar, wind) for three years. In 2022 the total energy was 1,000 units, with coal at 60%. In 2024 coal dropped to 40% of a total of 1,200 units. How many fewer coal units were used in 2024 than 2022?
- 120 units (Correct answer)
- 80 units
- 100 units
- 60 units
Correct answer: 120 units
2022 coal = 0.60 × 1,000 = 600; 2024 coal = 0.40 × 1,200 = 480; difference = 120 units.
Question 5: A data set has values: 10, 14, 14, 18, 22, 26, 30. The interquartile range (IQR) is:
- 12 (Correct answer)
- 14
- 16
- 20
Correct answer: 12
Q1 = 14, Q3 = 26; IQR = Q3 − Q1 = 26 − 14 = 12.
Question 6: A line graph shows a company's profit over 5 years. The graph shows a steady increase until Year 3, then a sharp decline in Year 4, followed by a slight recovery in Year 5. Which statement best describes the trend?
- Profit peaked in Year 3 and has not fully recovered (Correct answer)
- Profit increased every year
- Profit declined throughout all 5 years
- Profit was highest in Year 5
Correct answer: Profit peaked in Year 3 and has not fully recovered
The trend shows growth to Year 3, a sharp drop in Year 4, and only slight recovery in Year 5, so it has not returned to its peak.
Question 7: A pie chart shows budget allocation: Research 20%, Marketing 30%, Operations 35%, Admin 15%. If the total budget is $500,000, how much more is spent on Operations than Research?
- $75,000 (Correct answer)
- $87,500
- $100,000
- $62,500
Correct answer: $75,000
Operations = 35% × $500,000 = $175,000; Research = 20% × $500,000 = $100,000; difference = $75,000.
NBT Quantitative Literacy Data Interpretation 3
A double bar chart compares male and female enrollment in four university faculties.
Science: M=300, F=250; Arts: M=180, F=320; Law: M=210, F=190; Engineering: M=400, F=150.
Which faculty has the smallest gender gap?