Question

if ratio between mode and median of a data is 6:5 find ratio between mean and median of that data

Answer 1

mode/median=6/5

5mode=6median -(1)

3median=2mean +mode -(2)

by multiplying (2)with 2

6median=4 mean +2mode -(3)

by putting (1) in (3)

5mode=4mean+2mode

3mode=4mean

mode=4mean/3 -(4)

putting (4) in (1)

5×4mean/3=6median

mean/median=9/10

mean:median=9:10