Question

The median of the following data is 26. Find the value of x and y if the total
frequency is 80.
Class interval
0-8 8-16 16-24 24-32 32-40 40-48
Frequency
10 , x, 16 , 24 , 8 , y​

Answer 1

Answer:

x=8,y=14

Step-by-step explanation:

C.I. fi. cf

0-8. 10. 10

8-16. x. 10+x

16-24. 16. 26+x(cf)

24-32. 24(f). 50+x

32-40. 8. 58+x

40-48. y. 58+x+y

f=58+x+y=80 l=24,

=>x+y =80-58. n=80,

=>x+y =22-equation1 cf=26+x.

n/2-cf

median=l+ _____×h

f

40-(26+x)

=>26=24+________×8

24

40-26-x

=>26-24=_______×8

24

14-x

=> 2=_____

3

=> 6=14-x

=> x=14-6

=> x= 8

put x in equation 1,

=>x+y=22

=> 8+y=22

=>. y=22-8

=>. y=14