Question

Find the mode of the following frequency distribution

Answer 1

Answer:

well i guess you are in tenth class, because im too in tenth and i have the same kind of questions.

so anyway the answer:

so here the total number of observation is :

8+12+10+11+9 = 50

so we get. n/2 = 25( n=50)

now, the modal class is 10-20 so

l= 10

also, we can find h = 10

now, as we know what modal class is so based on that,

f0 = 8

f1 = 12

f2 = 10

now, C.F will be the sum of all frequencies preceding the frequency of modal class.

so the sum of frequencies preceding the modal class is 8

so, C.F = 8

Then we have the formula of mode of grouped data.

Mode = l+ [(f1 -f0)/ ( f1 -f0 - f2)] × h

= 10+ [ (12-8)/(12-8-10) ] × 10

= 10 +[ 4/-6] ×10

= 10 + 4/-6 ×10

= 10 + 40/-6

= -60/-6 + 40/-6

= -20/-6

= 10/3

= 3.33333333333333333333......

so you got the answer and now click on a button on which it is written 'mark as brainlist'