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Question

The marks obtained by 40 students in class X of a certain school in a math paper of maximum marks '100' are presented in the table. Find the mean using direct method.

Class Interval0−1010−2020−3030−4040−50Number of students3413155


A
28.75
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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 28.75

Class mark for first class interval = 5

Similarly the class mark for each class interval can be found. Look at the table.

Class IntervalNumber of students (fi) Classmark (xi) fixi 010351510204156020301325325304015355254050545225Totalfi=40fixi=1150

Mean=fixifi
=5×3 + 15×4 + 25×13 + 35×15 + 45×540

=115040

=28.75


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