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If the ratio of mode and median is 7 : 4, then find the ratio of mean and mode is:(a) 7 : 11 (b) 2 : 3 (c) 5 : 14 (d) 8 : 9 |
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Answer» (c) 5 : 14 Mode = 3 Median – 2 Mean ∴ Mode : Median = 7 : 4 ∴ Let, Mode = 7x and Median = 4x ∴ 7x = 3 × 4x – 2 Mean ⇒ 7x = 12x – 2 Mean ⇒ 2 Mean = 5x ⇒ Mean = \(\frac52x\) ∴ Mean : Mode = \(\frac52x\) : 7x = 5x : 14x = 5 : 14 |
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