Question

Find the mode from the following data.
Class Interval
0-9
10-19 20-29
30-39
40-49 50-59
Frequency
5
8
12
11
8
6​

Answer 1

Answer:

Frequency 15 20 50 30 10

Class

Boundaries 19.5−29.5 29.5−39.5 39.5−49.5 49.5−59.5 59.5−69.5

For the given data, Modal Class(Class with highest frequency) =39.5−49.5

For the modal class

l= lower limit of modal class =39.5

h= size of class interval =10

f

1

= frequency of modal class =50

f

0

= frequency of class preceding modal class =20

f

2

= frequency of class succeeding modal class =30

Mode=l+

2f

1

−f

0

−f

2

f

1

−f

0

×h

Mode=39.5+

100−20−30

50−20

×10

Mode=39.5+

50

30

×10

Mode=45.5