Question

We calculate the central tendency and variability in order to provide a summary of a data...

We calculate the central tendency and variability in order to provide a summary of a data set. Why is it important that we calculate both central tendency and variability?

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Answer #1

By definition, central tendency is the tendency of the values of a quantitative variable to cluster around a specific central value. So, it is important to calculate central tendency because we want to know how close are the values situated around that specific central value.

By definition, variability refers to the spread or clustering of the values in a quantitative variable, that is, they tell us how much the values of the quantitative variable are scattered around the above-mentioned central value (which is the measure of central tendency like mean or median). It is important to calculate variability to measure how spread out are the values from each other.

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