Cognizant Cognizant Data Analysis and Interpretation 2 — Questions and Answers
Question 1: In a frequency table, Class A: 0–10 has frequency 5, 10–20 has frequency 12, 20–30 has frequency 8. What is the modal class?
- 0–10
- 10–20 (Correct answer)
- 20–30
- All equal
Correct answer: 10–20
The modal class is the interval with the highest frequency; 10–20 has frequency 12, the highest.
Question 2: Two variables have a correlation coefficient of −0.85. What does this best describe?
- Strong positive correlation
- Weak negative correlation
- Strong negative correlation (Correct answer)
- No correlation
Correct answer: Strong negative correlation
A correlation coefficient of −0.85 indicates a strong negative (inverse) relationship between the two variables.
Question 3: If a dataset has values 4, 8, 6, 5, 3, 7, what is the range?
- 3
- 4
- 5 (Correct answer)
- 6
Correct answer: 5
Range = maximum − minimum = 8 − 3 = 5.
Question 4: A Cognizant analyst notices that 80% of issues come from 20% of software modules. Which analytical principle does this represent?
- Normal distribution
- Pareto Principle (Correct answer)
- Standard deviation rule
- Regression to the mean
Correct answer: Pareto Principle
The Pareto Principle (80/20 rule) states that roughly 80% of effects come from 20% of causes.
Question 5: A scatter plot shows points clustered tightly along a line going from bottom-left to top-right. What does this indicate?
- No correlation
- Strong negative correlation
- Strong positive correlation (Correct answer)
- Weak positive correlation
Correct answer: Strong positive correlation
Points tightly clustered along an upward-sloping line indicate a strong positive correlation.
Question 6: Given sales data: 100, 200, 150, 300, 250. What is the median?
- 150
- 200 (Correct answer)
- 250
- 300
Correct answer: 200
Sorted: 100, 150, 200, 250, 300 — the middle (3rd) value is 200.
In a frequency table, Class A: 0–10 has frequency 5, 10–20 has frequency 12, 20–30 has frequency 8.
What is the modal class?