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Find the mode of the following distribution :

Classes :  0-20 20-40 40-60 60-80 80-100
Frequency : 10 8 12 16 4
 

 

 
 
 
 
 

Answers (1)

The class having maximum frequency is the modal class.

The maximum frequency is 16 and hence the modal class = 60-80

Lower limit (l) of modal class = 60, class size (h) = 20

Frequency ( f_1 ) of the modal class = 16, frequency ( f_0 ) of class preceding the modal class = 12, frequency ( f_2 ) of class succeeding the modal class = 4.

\\ $ Modal class $=60-80 \\ \text { Mode } =l+\left(\frac{\mathrm{f}_{1}-\mathrm{f}_{0}}{2 \mathrm{f}_{1}-\mathrm{f}_{0}-\mathrm{f}_{2}}\right) \times \mathrm{h}\\\\=60+\left(\frac{16-12}{32-12-4}\right) \times 20 \\ =65

Posted by

Safeer PP

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