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Question

The median of an ungrouped data and the median calculated when the same data is grouped are always the same. Do you think that this is a correct statement? Give reason.


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Solution

Determine given statement is correct or not.

The formula used here to compute the median of grouped data is based on the assumption that the observations in the classes are evenly distributed or evenly spaced. As a result, we can't always conclude that "the median of ungrouped data and the median obtained when the same data is grouped are always the same."


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