If each of 20 values is increased by 10, the arithmetic mean will: MCQ with Answer and Explanation

If each of 20 values is increased by 10, the arithmetic mean will:
A. Increase by 200
B. Increase by 10
C. Increase by 20
D. Remain unchanged
Answer: Option B
Solution (By JKExamLibrary)
Adding a constant to all observations increases the mean by the same constant.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
If two distributions have the same mean but different standard deviations, which statement is TRUE?
A. The one with larger SD has more spread around the mean
B. They have identical shapes
C. Their modes must be equal
D. Their medians must be equal

Correct Answer: Option A


Explanation:
Standard deviation measures dispersion; a larger SD indicates greater variability of observations around the mean, regardless of the mean's value or distribution shape.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
If the Laspeyres price index is 120 and Paasche price index is 110, Fisher's ideal index is approximately:
A. 114.0
B. 114.9
C. 116.0
D. 115.5

Correct Answer: Option B


Explanation:
Fisher's index = √(120 × 110) = √13200 ≈ 114.89 ≈ 114.9. This geometric mean balances the upward bias of Laspeyres and downward bias of Paasche.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
Which formula uses the arithmetic mean of base and current year quantities as weights?
A. Dorbish-Bowley
B. Paasche
C. Marshall-Edgeworth
D. Laspeyres

Correct Answer: Option C


Explanation:
Marshall-Edgeworth uses the sum (or arithmetic average) of quantities from both years: w = (q0 + q1).

This question belongs to: Accountancy and Statistics Statistics