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

Combined mean formula is essential when:
A. Calculating mode
B. All groups have the same size
C. Data is qualitative
D. Merging means from groups of different sizes
Answer: Option D
Solution (By JKExamLibrary)
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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When designing a questionnaire, multiple-choice questions are preferred over open-ended questions primarily because:
A. They allow respondents to express complex feelings
B. They take up less space
C. They are easier to tabulate and analyze objectively
D. They eliminate all forms of bias

Correct Answer: Option C


Explanation:
MCQs standardise responses, making data compilation, coding, and statistical tabulation much faster and uniform.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
If the probability that a student passes Mathematics is 0.7, passes English is 0.6, and passes both is 0.4, what is the probability that the student passes at least one subject?
A. 0.8
B. 0.9
C. 0.7
D. 1.0

Correct Answer: Option B


Explanation:
P(Math ∪ English) = P(Math) + P(English) - P(both) = 0.7 + 0.6 - 0.4 = 0.9. This uses the addition theorem to avoid double-counting students who pass both.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
The sum of frequencies of all classes in a distribution equals:
A. Mean
B. 100
C. Total number of observations
D. Number of classes

Correct Answer: Option C


Explanation:
Total frequency = N, the number of observations.

This question belongs to: Accountancy and Statistics Statistics