Question

Calculate mode of the following senes
Class Interval
0-5
5-10
15-20
20-25
25-35
frequency
1
2
10
4
10
9
2​

Answer 1

Here, we can see class 10−15 has maximum number of frequency.

∴ Modal class =10−15

Then we have,

l=10,f

0

=3,f

1

=10,f

2

=1 and h=5

Since,

Mode=l+

2f

1

−f

0

−f

2

f

1

−f

0

×h

=10+

2×10−3−1

10−3

×5

=10+2.18

=12.18

∴ Mode=12.18

Hence, this is the answer.