Calculate the value of mode for the following frequency distribution :

Explanation

The given data is in invlusive form . So, we convert it into exclusive forms, as given below :

Clearly the modal class is 12.5-16.5 as it the maximum frequency .
`:. l=12.5,f_(1)=15,f_(0)=12,f_(2)=14,h=4`
`"Mode"=l(f_(1)-f_(0))/(2f_(1)-f_(0)-f_(2))xxh`
` "Mode" =12.5+(15-12)/(2xx15-12-14)xx4`
`=12.5+(3)/(4)xx4=12.5+3=15.5`
Hene, mode = 15.5