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
Answers
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