## Introduction to Data Interpretation

#### Data Interpretation

Direction: The following bar-diagram shows total number of males and females in five different organisations. Study it carefully to answer the questions.

1. By how much percentage is the average number of females from all the organisations together is more than the number of males in organisation ‘D’?

1. As per the given bar graph , we have
Total number of women = 3000 + 3500 + 4000 + 1500 + 3700 = 15700
Number of organisation = 5

 Average number of women = Total number of women Number of organisation

 Average number of women = 15700 = 3140 5

Number of men in organisation D = 2250
Difference = 3140 - 2250 = 890

##### Correct Option: C

As per the given bar graph , we have
Total number of women = 3000 + 3500 + 4000 + 1500 + 3700 = 15700
Number of organisation = 5

 Average number of women = Total number of women Number of organisation

 Average number of women = 15700 = 3140 5

Number of men in organisation D = 2250
Difference = 3140 - 2250 = 890
 Required percent = Difference × 100 Number of men in organisation D

 Required percent = 890 × 100 ≈ 40% 2250

1. What is the difference between the total number of females and the total number of males from all the organisations together?

1. According to given bar graph , we have
Total number of men = (3500 + 4500 + 4700 + 2250 + 3250) = 18200
Total number of women = 3000 + 3500 + 4000 + 1500 + 3700 = 15700
Required difference = Total number of men - Total number of women

##### Correct Option: C

According to given bar graph , we have
Total number of men = (3500 + 4500 + 4700 + 2250 + 3250) = 18200
Total number of women = 3000 + 3500 + 4000 + 1500 + 3700 = 15700
Required difference = Total number of men - Total number of women
Required difference = 18200 – 15700 = 2500

Direction: Student strengths of a college in Arts, Science and Commerce from 2004-2005 to 2007-2008 session are shown in the following bar graph. Study the graph and answer the questions that follow.

1. Percentage increase in total number of students in 2007-2008 session over that in 2004-2005 session is approximately

1. As per the given bar graph , we have
Total number of students in session 2004-05 ⇒ 600 + 400 + 200 = 1200
Total number of students in session 2007-08 ⇒ 700 + 500 + 250 = 1450
Total increase = 1450 - 1200 = 250

 Percentage increase = Total increase × 100 Total number of students in session 2004-05

##### Correct Option: D

As per the given bar graph , we have
Total number of students in session 2004-05 ⇒ 600 + 400 + 200 = 1200
Total number of students in session 2007-08 ⇒ 700 + 500 + 250 = 1450
Total increase = 1450 - 1200 = 250

 Percentage increase = Total increase × 100 Total number of students in session 2004-05

 Percentage increase = 250 × 100 = 20.83% 1200

1. Approximate percentage of students in Science stream during the session 2006-2007 is :

1. According to given bar graph , we have
Total number of students in during 2006-07 = 550 + 450 + 300 = 1300
Number of students in Science during 2006-2007 = 450

 ∴ Required percent = Number of students in Science during 2006-2007 × 100 Total number of students in during 2006-07

##### Correct Option: E

According to given bar graph , we have
Total number of students in during 2006-07 = 550 + 450 + 300 = 1300
Number of students in Science in 2006-2007 = 450

 ∴ Required percent = Number of students in Science during 2006-2007 × 100 Total number of students in during 2006-07

 ∴ Required percent = 450 × 100 = 450 = 34.6 % 1300 13

1. The increase in the number of Arts students in 2007-2008 session over that in 2005-2006 session is :

1. On the basis of given graph in question ,
Number of Arts students in 2007-2008 = 700
Number of Arts students in 2005-2006 = 550
Total increase = 700 - 550 = 150

 Required percentage increase = Total increase × 100 Number of Arts students in 2005-2006

##### Correct Option: C

On the basis of given graph in question ,
Number of Arts students in 2007-2008 = 700
Number of Arts students in 2005-2006 = 550
Total increase = 700 - 550 = 150

 Required percentage increase = Total increase × 100 Number of Arts students in 2005-2006

 Required percentage increase = 150 × 100 = 27.27% 550