Question

compare the arithmetic mean, median and mode as measures of central tendency. describe situations where one is more suitable then the others??​

Answer 1

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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 given algebraic treatment and is not affected by fluctuations of sampling median and is even more simple to calculate but 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 numberical magnitude of the deviations that balances In case of median it is the number of values greater than the median which balance against the number or values less than the median the median, is always between the arithmetic mean and the mode.

${\huge\mathcal{\fcolorbox{lime}{black}{\pink{FROM \: ➝ \: ADESH \: KUMAR}}}}$

Answer 2

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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 given algebraic treatment and is not affected by fluctuations of sampling median and is even more simple to calculate but 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 numberical magnitude of the deviations that balances In case of median it is the number of values greater than the median which balance against the number or values less than the median the median, is always between the arithmetic mean and the mode.

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