Weighted mean of values 10, 20, 30 with weights 3, 2, 1 respectively is: MCQ with Answer and Explanation

Weighted mean of values 10, 20, 30 with weights 3, 2, 1 respectively is:
A. 16.67
B. 18.33
C. 15
D. 20
Answer: Option A
Solution (By JKExamLibrary)
Weighted sum = 3×10+2×20+1×30 = 100. Sum of weights = 6. Mean = 100/6 = 16.67.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
Which property of the arithmetic mean states that the sum of deviations from the mean is always zero?
A. Minimum sum of squared deviations
B. Linearity
C. Sum of deviations property
D. Invariance under change of origin

Correct Answer: Option C


Explanation:
The sum of deviations of all observations from their arithmetic mean is always zero, i.e., Σ(x - x̄) = 0, which is a fundamental algebraic property of the mean.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
Vital statistics are crucial for calculating which of the following indicators?
A. Gross Domestic Product (GDP)
B. Literacy Rate
C. Human Development Index (HDI)
D. Infant Mortality Rate (IMR)

Correct Answer: Option D


Explanation:
IMR directly uses vital statistics data on live births and infant deaths; other options rely on broader datasets (e.g., GDP on economic surveys, HDI on multiple sources, literacy on census/surveys).

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
From a standard deck of 52 cards, one card is drawn. What is the probability that it is either a King or a Heart?
A. 17/52
B. 1/4
C. 16/52
D. 4/13

Correct Answer: Option C


Explanation:
P(K or Heart) = P(K) + P(Heart) - P(King of Hearts) = 4/52 + 13/52 - 1/52 = 16/52.

This question belongs to: Accountancy and Statistics Statistics