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Question

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. [3 MARKS]

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Solution

Table: 1 Mark
Formula: 1 Mark
Application: 1 Mark

MarksNo. of studentsAbove 080Above 1077Above 2072Above 3065Above 4055Above 5043Above 6023Above 7016Above 8010Above 908Above 1000

Converting to regular frequency distribution,

Class IntervalStudent01031020520307304010405012506020607077080680902901008

Modal Class is 50-60

Mode
=I+(f1f02f1f0f2)×h

=50+201240127×10

=53.81


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