Weighted mean is preferred over simple arithmetic mean when: MCQ with Answer and Explanation

Weighted mean is preferred over simple arithmetic mean when:
A. The sample size is very small
B. The data is qualitative
C. Observations have different levels of importance or reliability
D. All observations are equally important
Answer: Option C
Solution (By JKSSB Mock Tests)
Weighted mean assigns different weights to observations based on their relative importance, providing a more accurate central value when some data points carry more significance than others.

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Practice More Statistics Questions

Question #1
In a class, 60% students pass in English and 70% in Mathematics. 20% fail in both. The percentage that pass in at least one subject is:
A. 80%
B. 50%
C. 60%
D. 90%

Correct Answer: Option A


Explanation:
Pass in at least one = 100% - fail in both = 100% - 20% = 80%.

This question belongs to: Accountancy and Statistics Statistics
Question #2
In the classification of data, 'chronological classification' refers to:
A. Grouping by geographical area
B. Grouping by attributes
C. Grouping by time
D. Grouping by magnitude

Correct Answer: Option C


Explanation:
Chronological means time-based.

This question belongs to: Accountancy and Statistics Statistics
Question #3
The geometric mean is equal to the arithmetic mean when:
A. Data contain negative numbers
B. Data are symmetric
C. All values are different
D. All values are equal

Correct Answer: Option D


Explanation:
AM = GM if and only if all numbers are identical.

This question belongs to: Accountancy and Statistics Statistics