Correlation Calculation MCQs
Correlation Calculation – MCQs with Answers & Explanations
Class: 11th |
Subject: Economics (Statistics for Economics) |
Section: Correlation |
Topic: Correlation Calculation
Board: CBSE Board Examinations
Board: CBSE Board Examinations
These Multiple Choice Questions (MCQs) are designed strictly as per the NCERT syllabus, making them ideal for CBSE Class 11 Board Examination preparation. Each question includes calculation logic and concept‑clearing explanations.
1. Karl Pearson’s coefficient formula is:
Answer: B
Correlation equals covariance divided by product of standard deviations.
Correlation equals covariance divided by product of standard deviations.
2. Correlation coefficient is denoted by:
Answer: A
r is standard symbol.
r is standard symbol.
3. If covariance is zero, r will be:
Answer: C
No joint variation → no correlation.
No joint variation → no correlation.
4. Step 1 in calculation is:
Answer: A
Means are required for deviations.
Means are required for deviations.
5. Deviation method uses:
Answer: B
Shortens calculations.
Shortens calculations.
6. Assumed mean method simplifies:
Answer: B
Reduces large values.
Reduces large values.
7. r value range:
Answer: B
Universal correlation range.
Universal correlation range.
8. ΣXY represents:
Answer: A
Used in direct method.
Used in direct method.
9. Standard deviation required for:
Answer: B
Denominator uses σxσy.
Denominator uses σxσy.
10. If r = +1 after calculation:
Answer: A
Exact same movement.
Exact same movement.
11. If r = –1:
Answer: A
Exact opposite movement.
Exact opposite movement.
12. Shortcut formula useful for:
Answer: A
Reduces lengthy computation.
Reduces lengthy computation.
13. Sign of r depends on:
Answer: A
Positive/negative covariance.
Positive/negative covariance.
14. If Σd² increases (rank method):
Answer: B
Greater rank difference lowers correlation.
Greater rank difference lowers correlation.
15. Calculation gives exact:
Answer: B
Unlike diagrams, it is precise.
Unlike diagrams, it is precise.
16. Required number of variables:
Answer: B
Correlation studies two variables.
Correlation studies two variables.
17. If σx or σy = 0:
Answer: B
Division by zero impossible.
Division by zero impossible.
18. Covariance sign same as:
Answer: A
Direction identical.
Direction identical.
19. Most accurate method:
Answer: B
Provides precise value.
Provides precise value.
20. Final step is:
Answer: A
Explain strength and direction.
Explain strength and direction.