## Introduction to Data Interpretation

#### Data Interpretation

Direction: In the following questions, a graphical representation of income and expenditure of 5 persons during the month of January has been given. Read the graph and answer the questions.

1. What is the income range of the persons?

1. As per the given bar graph , we have
The income of the 4th person = \$ 8.75
The income of the 5th person = \$ 4.25
Income range = The income of the 4th person - The income of the 5th person

##### Correct Option: D

As per the given bar graph , we have
The income of the 4th person = \$ 8.75
The income of the 5th person = \$ 4.25
Income range = The income of the 4th person - The income of the 5th person
∴ Income range = \$ (8.75 – 4.25) thousand = \$ 4500

1. What is the average income of five persons per month?

1. From the given bar diagram , we see
Total income =\$ 30.75 thousand
Number of persons = 5

 Average = Total income Number of persons

##### Correct Option: C

From the given bar diagram , we see
Total income =\$ 30.75 thousand
Number of persons = 5

 Average = Total income Number of persons

 Average = 30.75 5

Average = \$ 6.15 thousands = \$ 6150

Direction: A health drink company prepares the drink of three different flavours P, Q, R. The production of three flavours over a period of six years has been expressed on bar graph provided below. Study the graph and answer the questions.

1. What is the difference between the average production of flavour Q in 2008, 2009 and 2010 from that of flavour P in 2005, 2006 and 2007 (in lakh bottles)?

1. On the basis of given graph in question ,
Total production of flavour Q in 2008, 2009 and 2010 = 55 + 50 + 55 = 160 lakh bottels
Number of given years = 3

 Average production of flavour Q during 2008, 2009 and 2010 = Total production of flavour Q in 2008, 2009 and 2010 Number of given years

 Average production of flavour Q during 2008, 2009 and 2010 = 160 lakh bottles 3

Total production of flavour P in 2005, 2006 and 2007 = 50 + 40 + 55 = 160 lakh bottels
Number of given years = 3
 Average production of flavour P in 2005, 2006 and 2007 = Total production of flavour P in 2005, 2006 and 2007 Number of given years

 Average production of flavour P in 2005, 2006 and 2007 = 145 lakh bottles 3

##### Correct Option: D

On the basis of given graph in question ,
Total production of flavour Q in 2008, 2009 and 2010 = 55 + 50 + 55 = 160 lakh bottels
Number of given years = 3

 Average production of flavour Q during 2008, 2009 and 2010 = Total production of flavour Q in 2008, 2009 and 2010 Number of given years

 Average production of flavour Q during 2008, 2009 and 2010 = 160 lakh bottles 3

Total production of flavour P in 2005, 2006 and 2007 = 50 + 40 + 55 = 160 lakh bottels
Number of given years = 3
 Average production of flavour P in 2005, 2006 and 2007 = Total production of flavour P in 2005, 2006 and 2007 Number of given years

 Average production of flavour P in 2005, 2006 and 2007 = 145 lakh bottles 3

 Required difference = 160 - 145 3 3

 Required difference = 15 = 5 lakh bottles 3

1. What was the approximate decline in the production of flavour R in 2010 as compared to the production of 2008 in percentage?

1. On the basis of given graph in question ,
The production of flavour R in 2010 = 40 lakh bottles
The production of flavour R in 2008 = 60 lakh bottles
Decrease = 60 - 40 = 20 lakh bottles

 Percentage decrease = Decrease The production of flavour R in 2008

##### Correct Option: B

On the basis of given graph in question ,
The production of flavour R in 2010 = 40 lakh bottles
The production of flavour R in 2008 = 60 lakh bottles
Decrease = 60 - 40 = 20 lakh bottles

 Percentage decrease = Decrease The production of flavour R in 2008

 Percentage decrease = 60 - 40 × 100 = 33 1 % or 33.33% 60 3

1. The average annual production of which flavour was maximum in the given period?

1. As per the given bar graph , we have
Total production of Flavour P = 50 + 40 + 55 + 45 + 60 + 50 = 300 lakh bottles
Total production of Flavour Q = 55 + 60 + 50 + 55 + 50 + 55 = 325 lakh bottles
Total production of Flavour R = 45 + 50 + 60 + 60 + 45 + 40 = 300 lakh bottles

##### Correct Option: B

As per the given bar graph , we have
Total production of Flavour P = 50 + 40 + 55 + 45 + 60 + 50 = 300 lakh bottles
Total production of Flavour Q = 55 + 60 + 50 + 55 + 50 + 55 = 325 lakh bottles
Total production of Flavour R = 45 + 50 + 60 + 60 + 45 + 40 = 300 lakh bottles
Hence , the average annual production of Q flavour is maximum in the given period .