Compare mean and median. - Vidyadip

Question

Compare mean and median.

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Answer

Position of Mean and Median: Mean is such a value that total deviations from mean on both sides is equal while median divides series in such a way that total number of items on both sides of median are equal.
Effect by extreme Items: Mean is affected by extreme values, median is not affected by extreme values.
Algebraic Treatment: Mean is superior to median as any value taken incorrectly can be rectified in mean but not in median. There can be weighted mean but no weighted median. Combined mean can be calculated from two series but not combined median.
Open Ended Classes: Median can be calculated for open ended class intervals without any assumption but in case of mean, we have to take some assumptions for calculating mean.
Graphical Presentation: Median can be located graphically but mean cannot be.
Fluctuations in sample: The general fluctuations in sampling affect the median to a greater extent than the mean however, vice versa is also possible in some cases.

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