## Introduction to Data Interpretation

#### Data Interpretation

Direction: Study the graph carefully and answer the questions.
The graph shows production of an item (in tonnes) during certain years

1. The production decreased from 2004-05 to 2005-06 by

1. On the basis of given graph in question ,
The production in 2004-05 = 900
The production in 2005-06 = 800
Decrease in production = 900 - 800 = 100

 Required percentage decrease = Decrease in production × 100 The production in 2004-05

##### Correct Option: A

On the basis of given graph in question ,
The production in 2004-05 = 900
The production in 2005-06 = 800
Decrease in production = 900 - 800 = 100

 Required percentage decrease = Decrease in production × 100 The production in 2004-05

 Required percentage decrease = 100 = 11 1 % 9 9

1. The production in 2006-07 in comparison to the production in 2002-03 increased by

1. From the given above bar graph ,
The production in 2006-07 = 1000
The production in 2002-03 = 400
Increase in production = 1000 - 400 = 600

 Required percentage increase = Increase in production × 100 The production in 2002-03

##### Correct Option: A

From the given above bar graph ,
The production in 2006-07 = 1000
The production in 2002-03 = 400
Increase in production = 1000 - 400 = 600

 Required percentage increase = Increase in production × 100 The production in 2002-03

 Required percentage increase = 600 = 150% 4

Direction: Study the following Histogram and answer the following questions.

1. The ratio of the students obtaining marks in the first and the last interval is

1. According to given bar graph , we have
The number of the students obtaining marks in the first interval ( 0-10 ) = 4
The number of the students obtaining marks in the last interval ( 40-50 ) = 5
Required ratio = The number of the students obtaining marks in the first interval : The number of the students obtaining marks in the last interval

##### Correct Option: C

According to given bar graph , we have
The number of the students obtaining marks in the first interval ( 0-10 ) = 4
The number of the students obtaining marks in the last interval ( 40-50 ) = 5
Required ratio = The number of the students obtaining marks in the first interval : The number of the students obtaining marks in the last interval
Required ratio = 4 : 5

1. The least number of students got the marks in the interval

1. On the basis of given graph in question ,
Required class interval = 0 – 10

##### Correct Option: D

On the basis of given graph in question ,
The least number of students got the marks in the class interval = 0 – 10 .

1. The maximum number of students got the marks in the interval of

1. From the given above histogram , we can see Students in class interval 20–30 = 10 , which is maximum .

##### Correct Option: B

From the given above histogram , we can see that the maximum number of students got the marks in the interval of 20–30 = 10 . Hence , required answer is option B.