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Compare the arithmetic mean , median and mode as measures of central tendency . Describe situations where one is more suitable than the others.

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As compared to mean and median , mode is less suitable .Mean is simple to calculate , its value is definite, it can be algebraic treatment and is not affected by by fluctuation of sampling.Median is ever more simple to calculate but it is affected by fluctuations and cannot be given algebraic treatment . Mode is the most popular item of a series but it is not suitable for most elementary studies because it is not based on all the observations of the series and is unrepresentative. In case of arithmetic mean it is the numerical magnitude of the deviations that balances . In case of median it is the number of values greater than the median which balances , In case of median it is the number of values greater than the median which balances against the number of values less than the median. The median is always between the arithmetic mean and the mode

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