Combined mean formula is essential when: MCQ with Answer and Explanation

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Combined mean formula is essential when:

A. Calculating mode

B. Data is qualitative

C. Merging means from groups of different sizes

D. All groups have the same size

Answer: Option C

Solution (By JKSSB Mock Tests)

Combined mean = (n₁x̄₁ + n₂x̄₂) / (n₁ + n₂) weights each group's mean by its size, providing the correct overall mean when aggregating subgroup statistics.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

In the theory of attributes, the total number of ultimate class frequencies for 'n' attributes is:

A. n^2

B. n!

C. 3^n

D. 2^n

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Correct Answer: Option D

Explanation:
For n attributes, each can be either present or absent, resulting in 2^n ultimate class frequencies.

This question belongs to: Accountancy and Statistics Statistics

Question #2

Assertion (A): NRR is a more accurate measure of population replacement than GRR. Reason (R): NRR incorporates female mortality, while GRR does not.

A. Both A and R are true, but R is not the correct explanation of A

B. A is false but R is true

C. A is true but R is false

D. Both A and R are true, and R is the correct explanation of A

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Correct Answer: Option D

Explanation:
NRR adjusts for the probability that female births survive to reproductive ages, providing a realistic assessment of generational replacement, whereas GRR assumes all female births survive, overestimating replacement potential.

This question belongs to: Accountancy and Statistics Statistics

Question #3

Total Fertility Rate (TFR) is obtained by summing ASFRs for all age groups and multiplying by 5 if 5-year age groups are used. This is because:

A. To convert rate per 1000 to children per woman

B. To adjust for mortality

C. Each ASFR represents a 5-year period

D. To standardize for age

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Correct Answer: Option C

Explanation:
Summing ASFRs for 5-year groups gives average children per woman for the 5-year span, so multiply by 5.

This question belongs to: Accountancy and Statistics Statistics

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