Question

what is the relation and equation between mean, median and mode ? prove it by giving 3 examples.

Answer 1

mode =  3 median - 2 mean

eg. median = 12, mean =10. Find mode

mode = 3 x 12 - 2 x 10
         = 36 - 20
         = 16

eg. mean = 12, mode = 8. Find median

8 = 3 x Median - 2 x 12

Median = 32/3

eg. mode = 15,  median =  10. Find mean

15 = 3 x 10 - 2 x mean

Mean = 15/2

Answer 2

mean = sum of observations
number of observations
arthimetic mode= sigma fixi 
N
median (m)= n + 1
2