## Introduction to Data Interpretation

#### Data Interpretation

1. The above bar graph show the marks obtained by a student in an examination. What is the average marks obtained by the student?

1. According to given bar graph , we have
Total marks obtained by a student in all 5 subjects = 60 + 30 + 80 + 50 + 60 = 280
Number of given subjects = 5

 Required Average marks = Total marks obtained by a student in all 5 subjects Number of given subjects

##### Correct Option: B

According to given bar graph , we have
Total marks obtained by a student in all 5 subjects = 60 + 30 + 80 + 50 + 60 = 280
Number of given subjects = 5

 Required Average marks = Total marks obtained by a student in all 5 subjects Number of given subjects

 Required Average marks = 280 = 56 5

Direction: The following questions are based on the pie– charts given below.

1. How many students from institutes B and D together study commerce?

1. On the basis of pie chart in question ,
Total number of students studying commerce = 4200
Percent of students studying commerce in institution B = 17%
Percent of students studying commerce in institution D = 14%

##### Correct Option: B

On the basis of pie chart in question ,
Total number of students studying commerce = 4200
Percent of students studying commerce in institution B = 17%
Percent of students studying commerce in institution D = 14%

 Required answer = 4200 × 17 + 4200 × 14 100 100

Required answer = 714 + 588 = 1302

1. The ratio between the number of students studying Arts from institute E and that of students studying commerce from institute D is

1. As per the given above pie chart , we see
Total number of students studying Arts = 3800
Percent of students studying Arts in institution E = 14%
Total number of students studying commerce = 4200
Percent of students studying commerce in institution D = 14%

##### Correct Option: C

As per the given above pie chart , we see
Total number of students studying Arts = 3800
Percent of students studying Arts in institution E = 14%
Total number of students studying commerce = 4200
Percent of students studying commerce in institution D = 14%

 Required ratio = 3800 × 14 : 4200 × 14 = 19 : 21 100 100

1. The respective ratio between the number of students studying Arts and commerce from institute E is

1. On the basis of pie chart in question ,
Total number of students studying Arts = 3800
Percent of students studying Arts in institution E = 14%
Total number of students studying commerce = 4200
Percent of students studying commerce in institution E = 18%

##### Correct Option: B

On the basis of pie chart in question ,
Total number of students studying Arts = 3800
Percent of students studying Arts in institution E = 14%
Total number of students studying commerce = 4200
Percent of students studying commerce in institution E = 18%

 Required ratio = 3800 × 14 : 4200 × 18 100 100

Required ratio = 38 × 14 : 42 × 18 = 19 : 27

1. How many students from institute B study Arts and Commerce?

1. According to given graph , we have
Total number of students studying Arts = 3800
Percent of students studying Arts in institution B = 8%
Total number of students studying Commerce = 4200
Percent of students studying Commerce in institution B = 17%

##### Correct Option: C

According to given graph , we have
Total number of students studying Arts = 3800
Percent of students studying Arts in institution B = 8%
Total number of students studying Commerce = 4200
Percent of students studying Commerce in institution B = 17%

 Required answer = 3800 × 8 + 4200 × 17 100 100

Required answer = 304 + 714 = 1018