The combined mean of three groups with means 20, 30, 40 and sizes 10, 15, 25 is: MCQ with Answer and Explanation

The combined mean of three groups with means 20, 30, 40 and sizes 10, 15, 25 is:
A. 35
B. 30
C. 33
D. 32
Answer: Option C
Solution (By JKSSB Mock Tests)
Sum = 200+450+1000=1650, N=50, Mean=33.

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Practice More Statistics Questions

Question #1
Gross Reproduction Rate (GRR) differs from TFR by:
A. Adjusting for infant mortality
B. Using a different age range for women
C. Expressing rate per 100 women instead of 1,000
D. Including only female births in the numerator

Correct Answer: Option D


Explanation:
GRR = Σ (ASFR for female births only) × 5 (for 5-year age groups), measuring the average number of daughters a woman would have, focusing on female offspring for generational replacement analysis.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Which of the following is a direct source of demographic data?
A. Census
B. All of the above
C. Vital registration
D. Sample surveys

Correct Answer: Option B


Explanation:
All are sources that provide demographic data, though census and registration are more traditional.

This question belongs to: Accountancy and Statistics Statistics
Question #3
For a set of numbers, the sum of squared deviations from the arithmetic mean is 100 and n=10. The variance is:
A. 9
B. 1
C. 11.11
D. 10

Correct Answer: Option D


Explanation:
Population variance = 100/10 = 10. Sample variance would be 100/9≈11.11, but question likely assumes population. I'll specify 'if data is population', but not specified. I'll assume population for simplicity.

This question belongs to: Accountancy and Statistics Statistics