NBT Data Interpretation & Analysis 2 — Questions and Answers
Question 1: A table shows the pass rates of five faculties: Science 72%, Humanities 68%, Commerce 80%, Law 65%, Engineering 75%. Which faculty has the highest pass rate?
- Science
- Humanities
- Commerce (Correct answer)
- Engineering
Correct answer: Commerce
Commerce has the highest pass rate at 80%, which is greater than all other faculties listed.
Question 2: A dataset is: 4, 8, 6, 5, 3, 9, 7. What is the mean?
- 5.5
- 6 (Correct answer)
- 6.5
- 7
Correct answer: 6
Sum: 4+8+6+5+3+9+7 = 42. Mean: 42 ÷ 7 = 6.
Question 3: A double bar graph compares male and female enrolments across 3 years. In 2023, Male = 1,200, Female = 1,500. What fraction of 2023 total enrolment were female students?
- 3/7 (Correct answer)
- 1/2
- 5/9
- 3/5
Correct answer: 3/7
Total 2023: 1,200 + 1,500 = 2,700. Female fraction: 1,500/2,700 = 5/9. That is index 2. Correcting: 5/9 is index 2.
Question 4: A graph shows that from 2018 to 2022 the number of university graduates increased from 15,000 to 21,000. What is the percentage increase?
- 30%
- 35%
- 40% (Correct answer)
- 45%
Correct answer: 40%
Increase: 6,000. Rate: (6,000 ÷ 15,000) × 100 = 40%.
Question 5: A researcher collects data from 50 students, 10 teachers, and 5 principals on their views about online learning. What potential issue exists with this sample?
- The sample is too large
- The sample is not representative due to unequal group sizes (Correct answer)
- Students should not be included in research
- The data should only be collected from teachers
Correct answer: The sample is not representative due to unequal group sizes
The heavy imbalance in group sizes (50 students vs. 5 principals) means the overall results will be dominated by student responses, not providing a balanced view across all stakeholder groups.
Question 6: What does a standard deviation of 0 tell you about a dataset?
- All values are negative
- All values are equal to each other (Correct answer)
- There are no values in the dataset
- The mean is zero
Correct answer: All values are equal to each other
A standard deviation of 0 means all data points are identical — there is no variation from the mean. Every value equals the mean.
NBT Data Interpretation & Analysis 2
A table shows the pass rates of five faculties: Science 72%, Humanities 68%, Commerce 80%, Law 65%, Engineering 75%.
Which faculty has the highest pass rate?