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

let the mean of the given data be 2x.

and median of that data be 3x.

since Mode= 3 Median -2 Mean

Mode=3*3x-2*2x=9x-4x=5x

ratio of mode and mean is 5x:2x=5:2