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Selecting Among the Mode-ECO6416

Selecting Among the Mode-ECO6416 - Selecting Among the Mode...

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Selecting Among the Mode, Median, and Mean It is a common mistake to specify the wrong index for central tenancy. Selecting Among the Mode, Median, and Mean The first consideration is the type of data, if the variable is categorical, the mode is the single measure that best describes that data. The second consideration in selecting the index is to ask whether the total of all observations is of any interest. If the answer is yes, then the mean is the proper index of central tendency. If the total is of no interest, then depending on whether the histogram is symmetric or skewed one must use either mean or median, respectively. In all cases the histogram must be unimodal. However, notice that, e.g., a Uniform distribution has uncountable number of modes having equal density value; therefore it is considered as a homogeneous population. Notice also that: |Mean - Median| ≤σ The main characteristics of these three statistics are tabulated below: The Main Characteristics of the Mode, the Median, and the Mean Fact No.
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