1.

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

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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