The distribution of sale of shirts sold in a month in a departmental store is as under

Calculate the modal size of shirts sold

Explanation

Clearly , the modal class is 95-100 as it has the maximum frequency
`x_=95,h=5,f_k=155, f_(k-1)=85, f_(k+1)=110`
Mode ` M_o=x_k+{hxx((f_k-f_(k-1)))/(2f_k-f_(k-1)-f_(k+1)}`
`95+{5xx((155-85))/((2xx155-85-110))}`
`=95+{5xx(70)/((310-195))}=95+{5xx(70)/(115)}`
`=95+(70)/(23)=95+3.04=98.04`
`therefore` modal size =98.04