Question

Which of the following statements are true in case of mean deviation (MD)?
A. MD is the average of deviation taken from a central value.
B. MD is not affected much by extreme values.
C. Algebraic negative signs of the deviation are ignored.
D. MD is minimum when deviation are taken from median.
E. MD is the average of the absolute deviation taken from a central value.
Choose the most appropriate answer from the options given below:

• A. A, B, C and D only
• B. B, C, D and E only
• C. C, D and E only
• D. A, C and D only

Hint:

Mean Deviation = Average of absolute deviations from a central value.
MD is minimum when taken from the median.
MD is less affected by extreme values compared to standard deviation.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Mean Deviation is a measure of dispersion that shows the average distance of observations from a central value.

Step 2: Detailed Explanation:
Statement A:
MD is the average of absolute deviations (not just deviations) taken from a central value.
This statement is incomplete without "absolute" - so it is not fully correct.
Statement B:
MD is not affected much by extreme values (unlike standard deviation).
This is true.
Statement C:
Algebraic negative signs of the deviation are ignored (absolute values are used).
This is true.
Statement D:
MD is minimum when deviations are taken from the median.
This is true.
Statement E:
MD is the average of the absolute deviation taken from a central value.
This is the correct definition of mean deviation.
This statement is true.
Thus, statements B, C, D, and E are correct.

Step 3: Final Answer:
Thus, the correct answer is B, C, D and E only.
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