19. The median of the following data is 52.5. If the total frequency is
100, find the values of x and y.
Class 10-10 10-20 20-30 30-40 40-50 50-60 60-70 | 70-80 80-90 90-100
Frequency 2 5
12 17 20 y 9 7 4
Answers
x = 9 & y = 15
Step-by-step explanation:
Class f cf
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
76 + x + y = 100
=> x + y = 24
Median = 52.5
Median = 50 + 10 ( 50 - (36 + x)/20
=> 52.5 = 50 + (14 - x)/2
=> 5 = 14 - x
=> x = 9
9 + y = 24
=> y = 15
x = 9 & y = 15
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