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  • Find the mode of the following distribution :  Marks : 0-10 10-20 20-30 30-40

Find the mode of the following distribution : 

Marks : 0-10 10-20 20-30 30-40 40-50 50-60

Number of 

Students :

 4 6 7 12 5 6

 

 

Answers (1)

The class having maximum frequency is the modal class.

The maximum frequency is 12 and hence the modal class = 30-40

Lower limit (l) of modal class = 30, class size (h) = 10

Frequency ( f_1 ) of the modal class = 12 frequency ( f_0 ) of class preceding the modal class = 7, frequency ( f_2 ) of class succeeding the modal class = 5.

Mode = l + \left(\frac{f_1-f_0}{2f_1 - f_0 - f_2} \right).h

\\ = 30 + \left(\frac{12-7}{2(12)-7-5} \right) 10 \\ \\ = 30 + \frac{5}{12} \times 10 \\\\ = 30 + 4.16 \\ =34.16

Thus, the Mode of the data is 34.16 marks

Posted by

Safeer PP

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