Data Interpretation - Table Charts - Discussion

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

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 1 of 2.

Satish Reddy said:   1 decade ago
My solution might not be best but I got answer without calculating anything. After looking into data only the Maths column has most big numbers and less small numbers as compared to other columns.
(4)

Arijita said:   6 years ago
Since 7 is common as the denominator in all subjects, we can normally compare the sum of marks of all students of the four subjects in option.

Correct me if I am wrong.
(3)

Bhavesh Jha said:   1 decade ago
I agree with you @Satish, as all the figures are in percentage so by looking at the table we can figure out that Maths column has percentage then rest of the three.
(2)

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.
(1)

Rah said:   1 decade ago
Just add the given percentages that is maths=575 is highest.
(1)

Nandini said:   6 years ago
@Dema :

History is about 60 marks .out of that some students scored 80 percent of marks. That is 80/100*60=48. Finally here 80 means percentage, not marks.
(1)

Jams said:   9 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).
(1)

Chaitanya said:   12 months ago
How to solve this? Anyone please explain to me.

Krishna said:   2 decades ago
In the solution, you calculated overall percentage for all the six subjects which is not necessary as there are only 4 options available and None is not an option. Just want to save some time.

Palak said:   2 years ago
I am not understanding this. Please anyone help me to get this.


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