NBT Data Interpretation & Analysis 2 — Questions and Answers
Question 1: A bar chart shows quarterly profits (in thousands): Q1 = $45k, Q2 = $60k, Q3 = $75k, Q4 = $30k. By what percentage did profit increase from Q1 to Q3?
- 40%
- 50%
- 60%
- 67% (Correct answer)
Correct answer: 67%
Percentage increase = (75 − 45) / 45 × 100 = 30/45 × 100 ≈ 67%.
Question 2: A school of 600 students has 45% in Grade 10 and 35% in Grade 11. The rest are in Grade 12. How many students are in Grade 12?
- 90
- 100
- 120 (Correct answer)
- 130
Correct answer: 120
Grade 12 = 100% − 45% − 35% = 20% of 600 = 120 students.
Question 3: A pie chart shows monthly budget allocation: Transport 15%, Food 40%, Housing 30%, Entertainment 10%, Savings 5%. If monthly income is $4,000, how much is spent on housing?
- $800
- $1,000
- $1,200 (Correct answer)
- $1,400
Correct answer: $1,200
Housing = 30% × $4,000 = $1,200.
Question 4: A line graph shows noon temperatures (°F) for a 5-day week: Mon = 72, Tue = 75, Wed = 68, Thu = 80, Fri = 77. What is the range of temperatures recorded?
- 8°F
- 10°F
- 12°F (Correct answer)
- 14°F
Correct answer: 12°F
Range = maximum − minimum = 80 − 68 = 12°F.
Question 5: A bar graph shows test scores for 5 students: 78, 85, 92, 67, 88. A 6th student scores 90. What is the new mean score?
- 82.5
- 83.3 (Correct answer)
- 84.0
- 85.0
Correct answer: 83.3
New mean = (78 + 85 + 92 + 67 + 88 + 90) / 6 = 500 / 6 ≈ 83.3.
Question 6: A table shows city populations: City A = 250,000; City B = 380,000; City C = 170,000. What percentage of the total population lives in City B?
- 40.0%
- 42.5%
- 45.0%
- 47.5% (Correct answer)
Correct answer: 47.5%
Total = 800,000; City B share = 380,000 / 800,000 × 100 = 47.5%.
Question 7: A double bar graph compares enrollment: 2020 total = 2,600 (males 1,200 + females 1,400); 2021 total = 2,850 (males 1,350 + females 1,500). What is the percentage increase in total enrollment?
- 8.5%
- 9.6% (Correct answer)
- 10.5%
- 11.2%
Correct answer: 9.6%
Percentage increase = (2,850 − 2,600) / 2,600 × 100 = 250 / 2,600 × 100 ≈ 9.6%.
NBT Data Interpretation & Analysis 2
A bar chart shows quarterly profits (in thousands): Q1 = $45k, Q2 = $60k, Q3 = $75k, Q4 = $30k.
By what percentage did profit increase from Q1 to Q3?