If the median of the distribution given below is 30, find the values of x and y.
Class
Interval
0 - 10 10 - 20 20 – 30 30 - 40 40 - 50 50 - 60 Total
No. of
students
5 x 20 15 y 5 60
Answers
Given : median of the distribution given below is 30
Class Interval 0 - 10 10 - 20 20 – 30 30 - 40 40 - 50 50 - 60 Total
No. of students 5 x 20 15 y 5 60
To find : values of x and y
Solution:
Class Interval f cf
0 - 10 5 5
10 - 20 x 5+x
20 – 30 20 25 + x
30 - 40 15 40 + x
40 - 50 y 40 + x + y
50 - 60 5 45 + x + y
Total 60
45 + x + y = 60
=> x + y = 15
60 / 2 = 30
Median = 30
Hence 25 + x = 30
=>x = 5
x + y = 15
=> 5 + y = 15
=> y = 10
x = 5 , y = 10
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