question_answer

If \[L=50,{{\Delta }_{1}}=8,{{\Delta }_{2}}=12\]and \[C=5\], then find the mode of the data; where \[{{\Delta }_{1}}={{f}_{m}}-{{f}_{m-1}}\] and \[{{\Delta }_{2}}={{f}_{m}}-{{f}_{m+1}},{{f}_{m}}=\] frequency of modal class, \[{{f}_{m-1}}=\] frequency of class before modal class, \[{{f}_{m+1}}=\] frequency of class after modal class, C = class width.

A)  48                               

B)  52

C)  53.5                            

D)  54