NBT Data Interpretation & Analysis 3 — Questions and Answers
Question 1: A line graph shows monthly sales (units): Jan = 500, Feb = 600, Mar = 720, Apr = 864. If the same growth rate continues, what will May's sales be?
- 960
- 1,000
- 1,037 (Correct answer)
- 1,080
Correct answer: 1,037
Each month grows by a factor of 1.2 (20%); May = 864 × 1.2 = 1,036.8 ≈ 1,037.
Question 2: A line graph shows a city's population: Year 1 = 50,000; Year 2 = 55,000; Year 3 = 60,500; Year 4 = 66,550. Which type of growth does this represent?
- Linear
- Exponential (Correct answer)
- Decreasing
- Cyclical
Correct answer: Exponential
Each year's population is 1.10× the previous year, indicating a constant growth rate — exponential growth.
Question 3: A distance-time graph shows a car traveling 120 miles in 2 hours, stopping for 30 minutes, then traveling 90 miles in 1.5 hours. What is the car's average speed for driving time only?
- 55 mph
- 60 mph (Correct answer)
- 65 mph
- 70 mph
Correct answer: 60 mph
Total driving distance = 210 miles; total driving time = 3.5 hours; average speed = 210 / 3.5 = 60 mph.
Question 4: A line graph shows annual inflation rates: Year 1 = 2.5%, Year 2 = 3.0%, Year 3 = 3.8%, Year 4 = 2.9%, Year 5 = 2.1%. Between which consecutive years was the increase in the inflation rate greatest?
- Year 1 to 2
- Year 2 to 3 (Correct answer)
- Year 3 to 4
- Year 4 to 5
Correct answer: Year 2 to 3
Year 1→2: +0.5pp; Year 2→3: +0.8pp; Year 3→4: −0.9pp; Year 4→5: −0.8pp — Year 2 to 3 shows the largest increase.
Question 5: A scatter plot shows a positive correlation between study hours (x) and exam scores (y). The trend line equation is y = 5x + 40. What score is predicted for a student who studied 8 hours?
- 70
- 75
- 80 (Correct answer)
- 85
Correct answer: 80
y = 5(8) + 40 = 40 + 40 = 80.
Question 6: A graph shows two companies' stock prices over 6 months. Company A: $20 → $28; Company B: $50 → $62. Which company had the greater percentage increase?
- Company A with 24%
- Company B with 40%
- Company A with 40% (Correct answer)
- Company B with 24%
Correct answer: Company A with 40%
Company A: (28−20)/20 × 100 = 40%; Company B: (62−50)/50 × 100 = 24% — Company A's percentage gain is greater.
Question 7: A line graph shows monthly website visitors with a perfectly linear trend: Jan = 8,000; Feb = 11,000; Mar = 14,000; Apr = 17,000. Extending the trend, what is the predicted June visitor count?
- 20,000
- 21,000
- 23,000 (Correct answer)
- 25,000
Correct answer: 23,000
The trend increases by 3,000 per month; May = 20,000 and June = 23,000.
NBT Data Interpretation & Analysis 3
A line graph shows monthly sales (units): Jan = 500, Feb = 600, Mar = 720, Apr = 864.
If the same growth rate continues, what will May's sales be?