Question

The mode of following frequency distribution is 65 and sum of all frequencies is 70 find value of x and y class- 0-20,20-40,40-60,60-80,80-100,100-120,120-140,140-160 frequency-8,11,x,12,y,9,9,5

Answer 1

Step-by-step explanation:

Sum of all the frequencies is given to be 70

⇒ 8 + 11 + x + 12 + y + 9 + 9 + 5 = 70

⇒ 54 + x + y = 70

⇒ x + y = 16 .........(1)

Now, mode is given to be 65

So, our modal class is 60 - 80

NOW, solve this by putting mode concept and you will get an equation 3x-y=40 , call it as 2

On adding (1) and (2)

4x = 56

⇒ x = 14

And putting this value of x in equation (1)

14 + y = 16

⇒ y = 2

*HOPE IT HELPS*