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Find the mode of the following distribution:
Class-interval
0-10
10-20
20-30
30-40
40-50
50-60
60-70
70-80
Frequency
5
8
7
12
28
20
10
10
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Class interval
0-10
10-20
20-30
30-40
40-50
50-60
60-70
70-80
No.of persons
5
8
7
12
28
20
10
10
Here the maximum frequency is 28 then the corresponding class 40-50 is the model class
$\text{L}=40,\text{h}=50-40=10,\text{f}=28,\text{f}_1=12,\text{f}_2=20$
$\text{Model}=\text{L}+\frac{\text{f}-\text{f}_1}{2\text{f}-\text{f}_1-\text{f}_2}\times\text{h}$
$=40+\frac{28-12}{2\times28-12-20}\times10$
$=40+\frac{16\times10}{24}$
$=40+16.67=46.67$
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