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.

Answer 1

In order to calculate the median of a grouped data, the formula used is based on the assumption that the observations in the classes are uniformly distributed or equally spaced. Hence, we cannot say that the statement “the median of an ungrouped data and the median calculated when the same data is grouped are always the same” is always correct.

Answer 2

The medium of an ungrouped data and the median calculated when there same data is grouped are always the same. ... Not always, because for calculating median of a grouped data, formula used is based on the assumption that the observing in the classes are uniformal distributed(or equal spaced).

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