If a constant is subtracted from all observations, the arithmetic mean: MCQ with Answer and Explanation

If a constant is subtracted from all observations, the arithmetic mean:
A. Becomes zero
B. Decreases by the same constant
C. Increases by the constant
D. Remains the same
Answer: Option B
Solution (By JKSSB Mock Tests)
Mean changes by the same amount as the change in origin.

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Practice More Statistics Questions

Question #1
If N = 100, (A) = 60, (B) = 50, what is the condition for attributes A and B to be independent?
A. (AB) = 110
B. (AB) = 10
C. (AB) = 30
D. (AB) = 0

Correct Answer: Option C


Explanation:
Two attributes are independent if (AB) = (A) × (B) / N. Here, (60 × 50) / 100 = 30.

This question belongs to: Accountancy and Statistics Statistics
Question #2
The TFR is expressed as:
A. Deaths per 1000 live births
B. Population per sq km
C. Children per woman
D. Births per 1000 women

Correct Answer: Option C


Explanation:
Total Fertility Rate is the average number of children a woman would bear.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Infant mortality rate is high in regions with:
A. High literacy
B. Good healthcare
C. Low fertility
D. Poor sanitation and malnutrition

Correct Answer: Option D


Explanation:
Poor health infrastructure and nutrition lead to higher infant deaths.

This question belongs to: Accountancy and Statistics Statistics