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

SOLUTION IS IN THE ATTACHMENT
Median:
Median is that value of the given observation which divides it into exactly two parts.

MEDIAN for the GROUPED data :

For this we find the Cumulative frequency(cf) of all the classes and n/2 , where n =  number of observations.

Now find the class whose Cumulative frequency is greater than and nearest to n/2 and this class is called median class,then use  the following formula calculating the median.

MEDIAN = l + [(n/2 - cf )/f ] ×h

Where,
l = lower limit of the median class
n = number of observations
cf = cumulative frequency  of class interval preceed the  median class
f = frequency  of median class
h = class  size

HOPE THIS WILL HELP YOU....

Answer 2

hope it helps you a lot

Thnk u