If each of 20 values is increased by 10, the arithmetic mean will: MCQ with Answer and Explanation

If each of 20 values is increased by 10, the arithmetic mean will:
A. Remain unchanged
B. Increase by 10
C. Increase by 200
D. Increase by 20
Answer: Option B
Solution (By JKSSB Mock Tests)
Adding a constant to all observations increases the mean by the same constant.

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Practice More Statistics Questions

Question #1
If Net Reproduction Rate (NRR) < 1, the population in the long run will:
A. Decline
B. Stabilize
C. Grow
D. Fluctuate unpredictably

Correct Answer: Option A


Explanation:
NRR below 1 indicates that each generation is not replacing itself, leading to eventual population decline.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Vital statistics are derived primarily from:
A. Agricultural censuses
B. Stock market indices
C. Civil registration systems
D. Industrial surveys

Correct Answer: Option C


Explanation:
The continuous, permanent, and compulsory recording of vital events (births, deaths) happens via civil registration.

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Question #3
The total of all frequencies in a frequency distribution is equal to the:
A. Mean of the frequencies
B. Width of the highest class
C. Highest cumulative frequency
D. Class mark of the last class

Correct Answer: Option C


Explanation:
In a 'less than' cumulative frequency distribution, the final cumulative frequency equals the total number of observations (N).

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