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  • Find the mode of the following frequency distribution10 to14 14 to18 18 to 22 22to26 26to 30 30to 34 34 to 38 frequency 8 6 11 20 25 22 10

Find the mode of the following frequency distribution :

Class : 10-14 14-18 18-22 22-26 26-30 30-34 34-38
Frequency : 8 6 11 20 25 22 10

 

 

 

 
 
 
 
 

Answers (1)

Class : 10-14 14-18 18-22 22-26 26-30 30-34 34-38
Frequency : 8 6 11 20 25 22 10

 Solutions \rightarrow maximum class frequency f_{1}=25

Class responding to f_{1}=(26-30)

Modal class =(26-30)

l=26

h=30-26=4

f_{o}=20

f_{2}=22

Mode=l+\left [ \frac{f_{1}-f_{o}}{2f_{1}-f_{o}-f_{2}} \right ]\times h

         =26+\left [ \frac{25-20}{2\times 25-20-22} \right ]\times 4

        =26+\left [ \frac{5}{50-42} \right ]\times 4

       =26+\left [ \frac{5}{8} \right ]\times 4

       =26+2.5

Mode = 28.5

Posted by

Safeer PP

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