Table Charts

The following table gives the percentage of marks obtained by seven students in six different subjects in an examination.

The Numbers in the Brackets give the Maximum Marks in Each Subject.

Student Subject (Max. Marks)
Maths Chemistry Physics Geography History Computer Science
(150) (130) (120) (100) (60) (40)
Ayush905090607080
Aman1008080408070
Sajal906070709070
Rohit806580806060
Muskan806585955090
Tanvi707565854060
Tarun653550778080

Q1: In which subject is the overall percentage the best?

A Maths

B Chemistry

C Physics

D History

ANS:A - Maths

We shall find the overall percentage (for all the seven students) with respect to each subject. The overall percentage for any subject is equal to the average of percentages obtained by all the seven students since the maximum marks for any subject is the same for all the students. Therefore, overall percentage for:

                                                                       
(i) Maths                                                                  
=[1x (90 + 100 + 90 + 80 + 80 + 70 + 65)]%
7
 
                                       
=[1x (575)]%
7
 
= 82.14%.
(ii) Chemistry                                                                  
=[1x (50 + 80 + 60 + 65 + 65 + 75 + 35)]%
7
 
                                       
=[1x (430)]%
7
 
= 61.43%.
(iii) Physics                                                                  
=[1x (90 + 80 + 70 + 80 + 85 + 65 + 50)]%
7
 
                                       
=[1x (520)]%
7
 
= 74.29%.
(iv) Geography                                                                  
=[1x (60 + 40 + 70 + 80 + 95 + 85 + 77)]%
7
 
                                       
=[1x (507)]%
7
 
= 72.43%.
(v) History                                                                  
=[1x (70 + 80 + 90 + 60 + 50 + 40 + 80)]%
7
 
                                       
=[1x (470)]%
7
 
= 67.14%.
(vi) Comp. Science                                                                  
=[1x (80 + 70 + 70 + 60 + 90 + 60 + 80)]%
7
 
                                       
=[1x (510)]%
7
 
= 72.86%.
Clearly, this percentage is highest for Maths.                                          



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