Question

Find the mode of the following frequency distribution
Class interval
60-70
0-10
10- 20
20-30
30-40
40 - 50
50-60
4
Frequencies
4.
5
7
10
12
8​

Answer 1

Answer:

We know,

Mode=l+

2f−f

1

−f

2

f−f

1

×h

l= lower limit of the modal class

h= size of the class intervals

f= frequency of the modal class

f

1

= frequency of the class preceding the modal class

f

2

= frequency of the class succeed in the modal class.

(i) Here, the maximum frequency is 28 then the corresponding class 40−52 is modal class.

⇒ l=40,h=50−40=10,f=28,f

1

=12,f

2

=20

⇒ Mode=l+

2f−f

1

−f

2

f−f

1

×h

⇒ Mode=40+

2×28−12−20

28−12

×10

⇒ Mode=40+

24

160

⇒ Mode=40+6.67=46.67

Step-by-step explanation:

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