IF THE MEDIAN OF THE FOLLOWING DISTRIBUTION IS 46 THEN FIND X AND Y?

C.I            fi              c.f 

10-20     12              12

20-30     30             42

30-40     x                42+x

40-50    65                107+x

50-60    y                107+x+y

60-70   25                132+x+y

70-80   18                140+x+y

                        TOTAL -- 229

=>x+y = 89

median = 46

l = 40

c.f =42+x

f = 65

46 = 40 +(72.5-x)/65 *10

6 *65/10 = 72.5 - x

39 = 72.5- x

x = 33.5

y = 89 - 33.5 = 55.5