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Question

A measure of central tendency means -
I. Representative of a set of data.
II. A single figure which is representative of whole distribution.
III. An average of a distribution.

A
I
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B
II
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C
III
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D
All of the above
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Solution

The correct option is C All of the above
Properties of a good measure of central tendency includes:
1. The figure should be representative of the data set, as only then is it beneficial for further analysis.
2. The figure should be representative of the whole distribution of the population, as only then is it possible to draw statistical inference about the population.
3. It should be an average of the distribution, as statistically, the average is where the maximum of the population will lie, and thus this value is most important.

The most common measures of central tendency include Mean, Median, Mode.

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