The combined mean of two groups with means 40 (size 10) and 60 (size 20) is: MCQ with Answer and Explanation

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The combined mean of two groups with means 40 (size 10) and 60 (size 20) is:

A. 56.67

B. 55

C. 50

D. 53.33

Answer: Option D

Solution (By JKSSB Mock Tests)

Combined mean = (10×40 + 20×60) / (10+20) = (400 + 1200) / 30 = 1600 / 30 ≈ 53.33. This weights each group's mean by its sample size.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1

Which measure of central tendency is most affected by extreme values?

A. Geometric mean

B. Median

C. Arithmetic mean

D. Mode

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Correct Answer: Option C

Explanation:
The arithmetic mean uses all values and is pulled towards outliers.

This question belongs to: Accountancy and Statistics Statistics

Question #2

Which of the following is an example of a leading question?

A. List three improvements you would suggest.

B. How often do you exercise?

C. What is your age?

D. Do you agree that the new policy is beneficial?

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Correct Answer: Option D

Explanation:
It suggests that the policy is beneficial, leading the respondent to agree.

This question belongs to: Accountancy and Statistics Statistics

Question #3

When rolling a fair die, the probability of getting a number greater than 4 is:

A. 1/6

B. 2/3

C. 1/2

D. 1/3

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Correct Answer: Option D

Explanation:
Numbers >4 are 5,6 → 2 out of 6 → probability = 1/3.

This question belongs to: Accountancy and Statistics Statistics

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