The following table shows the marks obtained by 100 students of Class X in a school during a particular academic session . Find the mode of this distribution

Explanation

Clearly , the above data can be written as :

Clearly , the modal class is 40-50 , as it has the maximum frequency .
`therefore x_k=40, f_k=20, f_(k-1)=12,f_(k+1)=11, h=10`
Mode ` M_o=x_k+{hxx((f_k-f_(k-1)))/(2f_k-f_(k-1)-f_(k+1)}`
`40+{10xx((20-12))/((2xx20-12-11))}`
`=40+{10xx8/((40-23))}=40+{10xx8/(17)}`
`=40+(80)/(17)=40+4.71=44.71`
Hence , mode =44.71