The following data gives marks obtained by students in an exam.
MarksNo. of studentsAbove 080Above 1077Above 2072Above 3065Above 4055Above 5043Above 6023Above 7016Above 8010Above 908Above 1000
(i) Convert to a regular distribution.
(ii) Find the mode.
MarksNo. of studentsAbove 080Above 1077Above 2072Above 3065Above 4055Above 5043Above 6023Above 7016Above 8010Above 908Above 1000
Converting to regular frequency distribution,
Class IntervalStudent0−10310−20520−30730−401040−501250−602060−70770−80680−90290−1008
Modal Class is 50-60
Mode
=l+(f1−f02f1−f0−f2)×h
=50+20−1240−12−7×10
=53.81