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If the mode for the following frequency distribution is 22 and `10 gt y gt x, "them "y=`
`{:("Class-interval:", 0-10,10-20,20-30,30-40,40-50,"Total"),("Frequency:", 5,8,10,x,y,30):}`

A

2

B

5

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Clearly, 20-30 is the modal class such that
`f=10, f_(1)=8,f_(2) =x and h=10`
` therefore " Mode"=l+(f-f_(1))/(2f-f_(1)-f_(2)) xx h`
`rArr 22= 20+(10-8)/(20-8-x) xx 10 rArr 2=(20)/(12-x) rArr x=2`
It is given that
`5+8+10+x+y=30 rArr x+y=7`
Hence, `x=2 and y=5`.
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