DI table

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Data Interpretation Table Charts 3

Question 1 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]

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 (150) Chemistry (130) Physics (120) Geography (100) History (60) Computer Science (40)
Ayush 90 50 90 60 70 80
Aman 100 80 80 40 80 70
Sajal 90 60 70 70 90 70
Rohit 80 65 80 80 60 60
Muskan 80 65 85 95 50 90
Tanvi 70 75 65 85 40 60
Tarun 65 35 50 77 80 80
What are the average marks obtained by all the seven students in Physics? (rounded off to two digit after decimal)
A
77.26
B
89.14
C
91.37
D
96.11
Question 1 Explanation: 
Student Subject (Max. Marks)
 

Math.
(150)

Chem.
(130)

Phy.
(120)

Geo.
(100)

Hist.
(60)

Comp. Sc.
(40)

Ayush

90

50

90

60

70

80

Aman

100

80

80

40

80

70

Sajal

90

60

70

70

90

70

Rohit

80

65

80

80

60

60

Muskan

80

65

85

95

50

90

Tanvi

70

75

65

85

40

60

Tarun

65

35

50

77

80

80

Average marks obtained in Physics by all the seven students:

$=\dfrac{1}{7} × \left[
\begin{array}{l l l l l l} 
(\text{90% of 120}) &+& (\text{80% of 120}) &+& (\text{70% of 120}) &+\\
 (\text{80% of 120}) &+& (\text{85% of 120}) &+& (\text{65% of 120}) &+\\
 (\text{50% of 120}) & & & & \end{array} 
\right]$

$=\dfrac{1}{7} × [ (90 + 80 + 70 + 80 + 85 + 65 + 50)\% \text{ of } 120 ]$

$=\dfrac{1}{7} × [ 520\% \text{ of } 120 ]$

$=\dfrac{624}{7}$

$= \textbf{89.14}$

Question 2 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The number of students who obtained 60% and above marks in all subjects is?
A
1
B
2
C
3
D
None
Question 2 Explanation: 
Student Subject (Max. Marks)
 

Math.
(150)

Chem.
(130)

Phy.
(120)

Geo.
(100)

Hist.
(60)

Comp. Sc.
(40)

Ayush

90

50

90

60

70

80

Aman

100

80

80

40

80

70

Sajal

90

60

70

70

90

70

Rohit

80

65

80

80

60

60

Muskan

80

65

85

95

50

90

Tanvi

70

75

65

85

40

60

Tarun

65

35

50

77

80

80

From the table it is clear that only 2 students, Sajal and Rohit have 60% or more marks in each of the six subjects.

Question 3 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What was the aggregate of marks obtained by Sajal in all the six subjects?
A
409
B
419
C
429
D
449
Question 4 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
In which subject is the overall percentage the best?
A
Maths
B
Chemistry
C
Physics
D
History
Question 4 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:

$=\dfrac{1}{7} × (90 + 100 + 90 + 80 + 80 + 70 + 65) \%$

$=\dfrac{1}{7}×(575) \%$

$= \textbf{82.14%}$

(ii) Chemistry:

$=\dfrac{1}{7} × (50 + 80 + 60 + 65 + 65 + 75 + 35)\%$

$=\dfrac{1}{7} × (430)\%$

$= \textbf{61.43%}$

(iii) Physics:

$=\dfrac{1}{7} × (90 + 80 + 70 + 80 + 85 + 65 + 50) \%$

$=\dfrac{1}{7} × (520) \%$

$= \textbf{74.29%}$

(iv) Geography :

$=\dfrac{1}{7} × (60 + 40 + 70 + 80 + 95 + 85 + 77)\%$

$= \dfrac{1}{7} ×(507) \%$

$= \textbf{72.43%}$

(v) History:

$=\dfrac{1}{7} × (70 + 80 + 90 + 60 + 50 + 40 + 80)\%$

$=\dfrac{1}{7} × (470)\%$

$= \textbf{67.14%}$

(vi) Comp. Science:

$=\dfrac{1}{7} × (80 + 70 + 70 + 60 + 90 + 60 + 80)\%$

$=\dfrac{1}{7} × (510)\%$

$= \textbf{72.86%}$

Clearly, this percentage is highest for Maths

Note: A smarter way to solve this problem is to calculate overall percentage only for 4 subjects namely, Maths, Chemistry, Physics and History and not for all the seven subjects, since only these four of seven choices are listed in the options.

Question 5 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
What is the overall percentage of Tarun?
A
52.50%
B
55%
C
60%
D
63%
Question 5 Explanation: 
Aggregate marks obtained by Tarun:

$= \left[
\begin{array}{l l l l l l} 
(65\% \text{ of } 150) &+& (35\% \text{ of } 130) &+& (50\% \text{ of } 120)+&\\ (77\% \text{ of } 100) &+& (80\% \text{ of } 60) &+& (80\% \text{ of } 40)& \end{array} 
\right]$

$= [ 97.5 + 45.5 + 60 + 77 + 48 + 32 ]$

$= 360$

The maximum marks (of all the six subjects):

$= (150 + 130 + 120 + 100 + 60 + 40)$

$= 600$

Therefore Overall percentage of Tarun:

$=\dfrac{\text{Aggregate marks obtained by Tarun}}{\text{maximum marks (of all the six subjects)}}$

$=\dfrac{360}{600}× 100\%$

$= \textbf{60%}$<

There are 5 questions to complete.