Question

Find mode graphically for the following data

x 10-19 20-29 30-39 40-49 50-59 60-69 70-79

f 10 12 18 30 16 6 8​

Answer 1

Step-by-step explanation:

Here the maximum class frequency is 50 and the class corresponding to this frequency is 40-49.

So, the modal class is 40-49.

The lower limit of modal class 40-49 is l = 40.

Class size c = 10

Frequency of the modal class f

1

=50.

Frequency of the class preceding the modal class f

0

=20.

Frequency of the class succeeding the modal class f

2

=30.

z=l+(

2f

1

−f

0

−f

2

f

1

−f

0

)×c

=40+(

2×50−20−30

50−20

)×10

=40+

50

30

×10

=40+6

=46

The mode for the given data is 46.