Question

Find the mean and the mode for the following data :
Term
18
22
26
30
34
38
Frequency
3
5
10
2
8
2.​

Answer 1

Answer:

Here:

Maximum class frequency =25

The class corresponding to Maximum class frequency is the modal class.

So, Modal class =26−30

Lower limit =I=26

Modal class size =h=4

Frequency of class preceding the modal class =f0=20

Frequency of the modal class =f1=22

Frequency of class succeeding the modal =f2=12

Mode formula is given by,

Mode =I+(

2f

1

−f

0

−f

2

f

1

−f

0

)×h

Mode =26+(

2(25)−20−22

25−20

)×4

=26+

8

5

×4

=28.5