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The empirical relationship between mean, median and mode is:

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The empirical relationship between mean, median and mode is:

(a) Mean > Median > Mode

(b) Mean = Median = Mode

(c) Mode – Mean = 3 (Median – Mean)

(d) Mean – Mode = 3 (Mean – Median)

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Correct option is (c) Mode – Mean = 3 (Median – Mean)

Empirical relationship between mean, median and mode is:

Mode = 3 Median - 2 Mean

⇒ Mode - Mean = 3 Median - 2 Mean - Mean

⇒ Mode - Mean = 3 Median - 3 Mean

⇒ Mode - Mean = 3 [Median - Mean]

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The empirical relationship between mean, median and mode is: 

(c) Mode – Mean = 3 (Median – Mean)

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