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Data Interpretation - Table Charts - Discussion

Discussion Forum : Table Charts - Table Chart 3 (Q.No. 4)
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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

4.
In which subject is the overall percentage the best?
Maths
Chemistry
Physics
History
Answer: Option
Explanation:

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

Clearly, this percentage is highest for Maths.

Discussion:
19 comments Page 2 of 2.
Shanto said:   6 years ago
What do we mean by the maximum marks obtained in each subject?

i.e It is 60 in history but some students have 80 as marks scored.

Please explain.
Jams said:   8 years ago
We divide it by 7 because of number of students. On addition, I think we can compare the % in Four Subjects which is given in the Option only to save time. We can do away other three subjects which is not given in the option (answer).
Usha said:   9 years ago
Why we divide it by 7?
Zakaria said:   1 decade ago
To ans quickly, you don't need to calculate the average percentage for all subject, because in ans, you have only for subject for calculate which physics, chemistry, math and history.

Again, you don't need to calculate average percentage of these four subject, you can calculate only the sum of the percentage of these four subject, the maximum sum will be the maximum average.

i.e. sum of percentage of math=575 chemistry=430 physics=520 history=470. so, the ans is math.
Sham Musuley said:   1 decade ago
Calculate the average for each subject with respect to the maximum mark.
Osagie said:   1 decade ago
Just add each of the percentages for all subjects maths obviously will hav the highest but you can divide the answer by 7 to get the average percent mark.
Dema said:   1 decade ago
What do we mean by the maximum marks obtained in each subject?

Example: It is 60 in history but some students have 80 as marks scored.

Please explain.
Tijender said:   1 decade ago
Is it any shortcut to do this?
Hameed said:   1 decade ago
how is it possible..max marks vary?
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