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What are the difficulties with computing the mean for ordinal variables?

What are the difficulties with computing the mean for ordinal variables?
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Answer #1

The means of ordinal data becomes difficult to interpret at times. Suppose we have ordinal data with four order categories 1,2,3 and 4.

Suppose we have equal number of observations in each categories. Then the mean of the dataset would be = (1+2+3+4)/4 = 2.5

Now, 2.5 does not belong to any of the categories. Also, the observations can take only 4 values and mean does not fall in any of those categories.

Hence, computing and interpreting means of ordinal data is difficult.

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