Relation connecting mean, median, mode is

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Mean - Median = Mode

Mode = 3 Median +2 Mean

Mean + Median = Mode

Mode = 3Median - 2 Mean

answer is D.

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Detailed Solution

We know that, mean, median and mode are the measures of central tendency and used to estimate the middle value.
Empirical formula is the one which establishes the relationship between the measures of central tendency.
We are given the empirical relationship between mean, median and mode as follows.
Mean – Mode = 3(Mean – Median)
Mean – Mode = 3 Mean – 3 Median
By simplification,
Mode = Mean – 3 Mean +3 Median
Mode = 3 Median – 2 Mean
Relation connecting mean, median and mode is Mode = 3Median – 2 Mean.
Hence, option 4 is correct.

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