Question

If the median of the distribution given below is 28.5, find the values of x and y.

class interval fre.
0 -10 5
10 -20 x
20 -30 20
30 -40 15
40 -50 y
50 -60 5​

Answer 1

Step-by-step explanation:

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

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