Question

Calculate the and mode of the following data:
Marks obtained 0-20 20-40 40-60 60-80 80-100
Number of students 5 9 12 6 9

Answer 1

Answer:

Highest frequency 12 , Modal class =40−60

Mode =I+

2f

1

−f

0

−f

2

f

1

−f

0

×h

Where ,

I= lower limit of the modal class =40

f

1

= frequency of modal class =12

f

2

frequency of class after the modal class =6

f

0

frequency of class before the modal class =10

h= class width =20

putting the values in the equation

Mode=50