Question

Find the mode of the following data.
C.1
f
0-10
2
10-20
3
20-30
5
30-40
2​

Answer 1

Answer:

Class intervals                       Frequency

    10-20                                       7

    20-30                                     12

    30-40                                     20

    40-50                                      11

   50-60                                        8

Here maximum frequency is 20 ,the class corresponding to this 30-40

So modal class is 30-40

Now lower limit of modal class (l)=30

Frequency (f1) of modal class =20

frequency (f0) of preceding the modal class  =12

frequency (f2) of the class succeeding the modal class=11

Class size=10    

Mod=l+[

2f1−f0−f2

f1−f0

]×h

Mod =30+[

2×20−12−11

20−12

]×10=30+

17

8

×10=30+4.705=34.705