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Question

The marks obtained by 40 students in class X of a certain school in a math paper, are presented in the table.The total marks in that exam was 50. Find the mean using direct method.
Marks obtainedNumber of students01031020420301330401540505


A

28.7

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B

25.2

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C

26.4

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D

29.9

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Solution

The correct option is A

28.7


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 intervalNo. of students(fi)Class mark(xi)fixi010351510204156020301325325304015355254050545225Totalfi=40fixi=1150
Mean=fixifi=115040=28.75


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