Question

The median of the following data is 52.5. If the total frequency is 100. Find the
values of x and y.
Class 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
Frequency 2 5 x | 12 | 17 | 20 y 9
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Answer 1

Answer:

x=9 and  y=15

add up the frequency total- 76+x+y=100

x+y=24                                    ----eqn-1

then by median formula ,you can get the value of x , replacing the value of x in eqn-1. you will get the value of y

Answer 2

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

total frequency is 100

=>  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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