## Introduction to Data Interpretation

#### Data Interpretation

Direction: Following table gives details about the percentage change of the population in a particular town for given yea\$ Go through the chart given and answer the questions that follow :

1. What was the percentage increase in population of the town from 2005 to 2008?

1. According to given bar graph , we have
Population of the town in year 2005 = 6%
Population of the town in year 2006 = 3%

 Single equivalent percentage increase for 2005 and 2006 = 6 + 3 + 6 × 3 % 100

Single equivalent percentage increase for 2005 and 2006 = 9.18%
Similarly,
 Single equivalent percentage increase for 9.18% and 4% = 9.18 + 4 + 9.18 × 4 % 100

Single equivalent percentage increase for 9.18% and 4% = 13.18 + 0.3672 ≈ 13.55%

##### Correct Option: C

According to given bar graph , we have
Population of the town in year 2005 = 6%
Population of the town in year 2006 = 3%

 Single equivalent percentage increase for 2005 and 2006 = 6 + 3 + 6 × 3 % 100

Single equivalent percentage increase for 2005 and 2006 = 9.18%
Similarly,
 Single equivalent percentage increase for 9.18% and 4% = 9.18 + 4 + 9.18 × 4 % 100

Single equivalent percentage increase for 9.18% and 4% = 13.18 + 0.3672 ≈ 13.55%
 Single equivalent percentage increase for 13.55% and 8% = 13.55 + 8 + 13.55 × 8 % 100

Single equivalent percentage increase for 13.55% and 8% = 21.55 + 1.08 ≈ 22.63%

1. What was the population of the town in year 2009?

1. On the basis of given graph in question ,We have only percentage increase in population, and no data about population in 2008 or elsewhere is available.

##### Correct Option: D

On the basis of given graph in question ,We have only percentage increase in population, and no data about population in 2008 or elsewhere is available.
Therefore , required answer can not be determined .

1. Which year out of these 8 years has the highest population?

1. As per the given bar graph ,
Clearly, in the year 2011 the population will be maximum as it increases each year.

##### Correct Option: D

As per the given bar graph ,
Clearly, in the year 2011 the population will be maximum as it increases each year.
Hence , correct answer is option D .

1. How many years witnessed a decrease in population across all the given years?

1. On the basis of given graph in question ,
There is continuous increase in population as evident form the bar diagram.

##### Correct Option: D

On the basis of given graph in question ,
There is continuous increase in population as evident form the bar diagram. So , required answer is 0 .

Direction: The graph shows the production of food grains of a country in different yea\$ Study the graph and answer the questions.

1. The two consecutive years in which rate of change of production of food grains is minimum are

1. According to given bar graph , we have
Year 1981 ⇒ 35 from 30 (Increase)
Year 1982 ⇒ 20 from 35 (Decrease)
Year 1983 ⇒ 25 from 20 (Increase)
Year 1984 ⇒ 15 from 25 (Decrease)
Year 1985 ⇒ 30 from 15 (Increase)

##### Correct Option: A

It is obvious from the graph.
Year 1981 ⇒ 35 from 30 (Increase)
Year 1982 ⇒ 20 from 35 (Decrease)
Year 1983 ⇒ 25 from 20 (Increase)
Year 1984 ⇒ 15 from 25 (Decrease)
Year 1985 ⇒ 30 from 15 (Increase)
By calculating percentage, answer can be found.
Hence , required answer is 1980 and 1981 .