The combined mean of two groups depends on: MCQ with Answer and Explanation

The combined mean of two groups depends on:
A. The individual means only
B. The group sizes only
C. The individual means and the group sizes
D. The medians
Answer: Option C
Solution (By JKExamLibrary)
Combined mean = (n₁x̄₁ + n₂x̄₂) / (n₁ + n₂).

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
Which measure of central tendency can be used for both quantitative and qualitative (nominal) data?
A. Geometric mean
B. Median
C. Mode
D. Arithmetic mean

Correct Answer: Option C


Explanation:
The mode identifies the most frequent category and can be applied to nominal qualitative data (e.g., favorite color), whereas mean and median require at least ordinal or numerical data.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
Data on attributes is said to be consistent if:
A. No calculated class frequency is negative, as negative frequencies are impossible
B. The sum of all frequencies equals the sample size
C. Attributes are independent of each other
D. All class frequencies are positive integers

Correct Answer: Option A


Explanation:
Consistency requires that all derived class frequencies (including ultimate classes) are non-negative, as negative counts are logically impossible in real-world data.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
There are two urns: Urn 1 contains 4 white, 6 black; Urn 2 contains 5 white, 5 black. An urn is chosen at random and a ball drawn. If it is white, probability it came from Urn 1 is:
A. 1/2
B. 4/9
C. 2/5
D. 5/9

Correct Answer: Option B


Explanation:
P(Urn1|W) = (1/2 * 4/10) / (1/2*4/10 + 1/2*5/10) = 0.2 / (0.2+0.25)=0.2/0.45=4/9.

This question belongs to: Accountancy and Statistics Statistics