Mathematics 2008 Question Papers

Q. 30. The median of the following data is 52.5. Find the values of x and y if the total frequency is 100.

Class Interval

Frequency
0 -1 2
10 – 20 5
20 – 30 x
30 – 40 12
40 – 50 17
50 – 60 20
60 – 70 y
70 – 80 9
80 – 90 7
90 – 100 4

Sol.


Class Interval
Freq. (fi) cfi
0 - 10 2 2
10 - 20 5 7
20 - 30 x 7 + x
30 – 40 12 19 + x
40 - 50 17 36 +x
50 – 60 20 56 + x
60 – 70 Y 56 + x + y
70 – 80 9 65 + x + y
80 -  90 7 72 + x + y
90 – 100 4 76 + x + y
  100  (Same)  

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