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Find the mode of the following distribution.
Class-interval
10-15
15-20
02-25
25-30
30-35
35-40
Frequency
30
45
75
35
25
15
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Class interval
10-15
15-20
20-25
25-30
30-35
35-40
No. of persons
30
45
75
35
25
15
Here the maximum frequency is 75 then the corresponding class 20-25 is the moidel class
$\text{L}=25,\text{h}=25-20=5,\text{f}=75,\text{f}_1=45,\text{f}_2=35$
$\text{Model}=\text{L}+\frac{\text{f}-\text{f}_1}{2\text{f}-\text{f}_1-\text{f}_2}\times\text{h}$
$=20+\frac{75-45}{2\times75-45-35}\times5$
$=20+\frac{30\times5}{70}$
$=20+2.14$
$=22.14$
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