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Question

The marks obtained by 40 students in a class are presented in the form of a table. Find the mean marks using direct method.
Marks obtainedNumber of students01031020420301330401540505

A
28.75
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B
25.25
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C
26.44
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D
29.91
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Solution

The correct option is A 28.75
Class mark for first class interval
=Upper class limit+Lower class limit2=0+102=5

Similarly the class mark for each class interval can be found. Look at the table.
Class intervalNumber of students(fi)Class mark(xi)fixi010351510204156020301325325304015355254050545225Totalfi=40fixi=1150
Mean=fixifi=115040=28.75

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