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

Combined mean formula is essential when:
A. Merging means from groups of different sizes
B. Calculating mode
C. Data is qualitative
D. All groups have the same size
Answer: Option A
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.

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Which method is most suitable when the field of investigation is vast and informants are educated?
A. Observation method
B. Direct interview
C. Mailed questionnaire
D. Schedule method

Correct Answer: Option C


Explanation:
Mailed questionnaire can reach a large geographic area at low cost, provided respondents are literate.

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Question #2
The CPI for agricultural labourers (CPI-AL) is used to:
A. Measure industrial growth
B. Adjust wages of agricultural labourers
C. Calculate GDP
D. Regulate stock market

Correct Answer: Option B


Explanation:
CPI-AL is primarily used to revise minimum wages for agricultural workers.

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Question #3
In a continuous frequency distribution, what does the term 'class mark' refer to?
A. The difference between upper and lower limits
B. The frequency of the specific class
C. The midpoint of the class interval
D. The sum of frequencies up to that class

Correct Answer: Option C


Explanation:
The class mark is calculated as (Upper Limit + Lower Limit) / 2 and represents the entire class in calculations.

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