Comparison of the principal averages-mean, median and mode, Applied Statistics

Comparison of the Principal Averages-Mean, Median and Mode

  • The mean, median, and mode are located at the same point in a symmetrical frequency distribution.

  • The mean is a computed average, whereas the median and the mode are positional.

  • Extreme values in the series affect the utility of the mean, but not of the median or the mode.

  • The presence of open-end classes excludes the use of the mean, but not of the median and sometimes not of the mode.

  • Varying class intervals usually make the mean unreliable, but do not affect the median. In such a case the mode may be found but only by reclassification through frequency densities.

  • Means may be combined, but not medians and modes.

  • The mean has four mathematical properties which make it indispensable in advanced statistical work. The median has one mathematical property, while the mode has none.

  • To compute the median and the mode, the data has to be sorted.

  • The median and the mode may be found graphically, but not the mean.

  • Posted Date: 9/14/2012 2:24:51 AM | Location : United States







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