Which measure of central tendency is the most stable from sample to sample? MCQ with Answer and Explanation

Which measure of central tendency is the most stable from sample to sample?

A. None

B. Median

C. Mean

D. Mode

Answer: Option C

The arithmetic mean is based on all observations and has the smallest sampling variance among unbiased estimators of the population mean.

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error

If the sum of 50 observations is 500, the arithmetic mean is 10. If each observation is multiplied by 3, the new mean is:

A. 300

B. 13

C. 30

D. 10

Correct Answer: Option C

Explanation:
Mean scales by the same factor.

This question belongs to: Accountancy and Statistics Statistics

Question #2 Report Error

The curve obtained by joining the midpoints of histogram bars is:

A. Frequency polygon

B. Ogive

C. Pie chart

D. Bar chart

Correct Answer: Option A

Explanation:
Frequency polygon connects class midpoints with lines.

This question belongs to: Accountancy and Statistics Statistics

Question #3 Report Error

If class intervals are inclusive, before plotting a histogram we must:

A. Plot directly

B. Convert them to exclusive by adjusting boundaries

C. Change class width

D. Use cumulative frequencies

Correct Answer: Option B

Explanation:
Inclusive intervals have gaps; adjusting by half of the gap makes them continuous.

This question belongs to: Accountancy and Statistics Statistics