Question

If the median of the distribution given below is 28.5, find the values of x and y.
C.I : 0–10 10–20 20–30 30–40 40–50 50–60 ,
f : 5 8 x 15 y 5 Total 60 .​

Answer 1

Step-by-step explanation:

Here, it is given that Median =28.5 and n=∑f

i

=60

Cummulative frequency table for the following data is given.

Here n=60⇒

2

n

=30

Since, median is 28.5, median class is 20−30

Hence, l=20,h=10,f=20,c.f.=5+x

Therefore, Median =l+(

f

2

n

−cf

)h

28.5=20+(

20

30−5−x

)10

⇒28.5=20+

2

25−x

⇒8.5×2=25−x

⇒x=8

Also, 45+x+y=60

⇒y=60−45−x=15−8=7.

Hence, x=8,y=7

solution