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Find the mode of the following distribution.
Class-interval
25-30
30-35
35-40
40-45
45-50
50-60
Frequency
25
34
50
42
38
14
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Class interval
25-30
30-35
35-40
40-45
45-50
50-60
No. of persons
25
34
50
42
38
14
Here the maximum frequency is 28 then the corresponding class 40-45 is the model class
$\text{L}=35,\text{h}=40-35=5,\text{f}=50,\text{f}_1=34,\text{f}_2=42$
$\text{Model}=\text{L}+\frac{\text{f}-\text{h}}{2\text{f}-\text{f}_1-\text{f}_2}\times\text{h}$
$=35+\frac{50-34}{2(50)-34-42}\times5$
$=35+\frac{16\times5}{24}$
$=35+3.33$
$=35.33$
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