Question

The median of the distribution given below is 14.4. Find the value of x and y, if the total
frequence is 20.
Class 0-6, 6-12, 12-18, 18-24, 24-30
frequency = 4, x ,56, y, 1

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Answer 1

CI.......... .. f. ..... ...... cf

0-6 ............ 4 ........... 4

6-12 ............... x. ...... ..... 4+x

12-18................ 56 ....... 9+x

so on. ........,.... so on ...... 9+x+y

........ ,.,..,....... .......... . MN. 10+x+y

TOTAL :›--10+x+y

n=20, n/2=10

Median=14.4

Therefore median class equal to 12-18.

Therefore l equal to 12

C equal to 4 plus x

F equal to 56

And h equal to 6

Median=L+ ( n/2 - cf)÷ f ×h

......plz do solve it your self

Your answer will be

2.4×5/6=6-x

x = 4

Therefore y = 6