1.

If the ratio of mean and median of a certain data is 2:3, then find the ratio of its mode and mean.

Answer»

Empirical formula: Mode = 3 median – 2 mean

Since, ratio of mean and median of a certain data is 2:3, then mean = 2x and median = 3x 

Mode = 3(3x) – 2(2x) 

= 9x – 4x

= 5x 

Therefore, 

Mode: Mean = 5x:2x or 5: 2



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