If the number of observations possessing A is 70, B is 60, and AB is 50, then the number possessing neither is 20. The data are: MCQ with Answer and Explanation

If the number of observations possessing A is 70, B is 60, and AB is 50, then the number possessing neither is 20. The data are:
A. Inconsistent
B. Consistent
C. Complete association
D. Independent
Answer: Option B
Solution (By JKExamLibrary)
Check all ultimate classes: (AB)=50, (Aβ)=70-50=20, (αB)=60-50=10, (αβ)=20. Sum=50+20+10+20=100, all non-negative. Consistent.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
Population growth rate is calculated as:
A. Crude Birth Rate - Crude Death Rate
B. (Births - Deaths) / Mid-year population × 100
C. (Births + Immigration - Deaths - Emigration) / Mid-year population × 100
D. Both B and C are correct

Correct Answer: Option D


Explanation:
Natural growth rate = CBR - CDR (per 1,000); overall growth rate includes net migration. Both formulations are used, with B being comprehensive and C focusing on natural increase.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
Crude Birth Rate is expressed per 1,000 population to:
A. Match international standards
B. Align with death rate calculation
C. Convert the rate to a convenient whole number scale
D. Simplify arithmetic

Correct Answer: Option C


Explanation:
Using a base of 1,000 transforms small proportions (e.g., 0.02) into whole numbers (20), enhancing readability and comparability across populations without altering the underlying rate.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
If each of 20 values is increased by 10, the arithmetic mean will:
A. Remain unchanged
B. Increase by 10
C. Increase by 20
D. Increase by 200

Correct Answer: Option B


Explanation:
Adding a constant to all observations increases the mean by the same constant.

This question belongs to: Accountancy and Statistics Statistics