v. For a certain frequency distribution, the values of Median and Mode are 95.75 and 95.5 respectively, Find the value of Mean.
Answer. We know that, Mean –
Mode = 3(Mean – Median)
∴Mean – 95.5 = 3 (Mean – 95.75)
∴Mean – 95.5 = 3Mean – 287.25
∴287.25 – 95.5 = 3Mean – Mean
∴191.75 = 2 Mean
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∴
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Mean
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=
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191.75
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=
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95.875
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2
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