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  • Compute the mode for the following frequency distribution : Size of items  (in cm)

Compute the mode for the following frequency distribution :

Size of items 

(in cm)

0 - 4

 4 - 8 8 - 12 12 - 16  16 - 20 20 - 24 24 - 28
Frequency  5 7 9 17 12 10 6

 

 
 
 
 
 

Answers (1)

\\$ Maximum class frequency$ = 17 \\ $ Modal class $=12-16 \\ $ Min class value (l)=12 $ \\ $ Class size (h)= 4 $ \\ $ Frequency of modal class f_{1}=17$ \\ $ Frequency of class proceeding the modal class $ f_0=9 \\ $ Frequency of class succeeding the modal class $ f_2=12 \\

\\$Mode$=l+\left(\frac{f_{1}-f_{0}}{2 f_{1}-f_{0}-f_{2}}\right) \times h \\ \\$Mode$=12+\left(\frac{17-9}{2 \times 17 -9-12}\right) \times 4 \\ \\$Mode$=12+\left(\frac{8}{13}\right) \times 4 \\ \\$Mode$=12+\left(\frac{32}{13}\right) \\ \\$Mode$=14.46 \ cm \\

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Safeer PP

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