## Introduction to Data Interpretation

#### Data Interpretation

Direction: Study the following graph and answer the questions based on it.

1. The ratio of total production of fertilizers in the year 1996 and 1997 to that of total production in the year 1995, 1998 and 2000 is

1. As per the given bar graph in question ,
Total production of fertilizers in the year 1996 and 1997 = 40 + 60 = 100
Total production of fertilizers in the year 1995, 1998 and 2000 = 25 + 45 + 50 = 120
Required ratio = Total production of fertilizers in the year 1996 and 1997 : Total production of fertilizers in the year 1995, 1998 and 2000

##### Correct Option: A

As per the given bar graph in question ,
Total production of fertilizers in the year 1996 and 1997 = 40 + 60 = 100
Total production of fertilizers in the year 1995, 1998 and 2000 = 25 + 45 + 50 = 120
Required ratio = Total production of fertilizers in the year 1996 and 1997 : Total production of fertilizers in the year 1995, 1998 and 2000
∴ Required ratio = 100 : 120 = 5 : 6

1. In which year was the percentage increase in production as compared to the previous year, the maximum?

1. On the basis of given bar graph in question , we see
The production of fertilizer in year 1995 = 25
The production of fertilizer in year 1996 = 40
Increase = 40 - 25 = 15
⇒ In Year 1996 ,

 Percentage increase = 15 × 100 = 60% 25

The production of fertilizer in year 1996 = 40
The production of fertilizer in year 1997 = 60
Increase = 60 - 40 = 20
⇒ In Year 1997 ,

##### Correct Option: C

On the basis of given bar graph in question , we see
The production of fertilizer in year 1995 = 25
The production of fertilizer in year 1996 = 40
Increase = 40 - 25 = 15
⇒ In Year 1996 ,

 Percentage increase = 15 × 100 = 60% 25

The production of fertilizer in year 1996 = 40
The production of fertilizer in year 1997 = 60
Increase = 60 - 40 = 20
⇒ In Year 1997 ,
 Percentage increase = 60 - 40 × 100 = 50% 40

Therefore , % increase is maximum in 1996 .

1. In how many years was the production of fertilizers more than the average production of the given years?

1. As per the given bar graph in question ,
Total production of fertilizers years from 1995-2002 = 25 + 40 + 60 + 45 + 65 + 50 + 75 + 80 = 4400000 tonnes
Total number of given years = 8

 Average production = Total production of fertilizers years from 1995-2002 Total number of given years

##### Correct Option: D

As per the given bar graph in question ,
Total production of fertilizers years from 1995-2002 = 25 + 40 + 60 + 45 + 65 + 50 + 75 + 80 = 4400000 tonnes
Total number of given years = 8

 Average production = Total production of fertilizers years from 1995-2002 Total number of given years

 Average production = 4400000 tonnes = 550000 tonnes 8

∴ Required years = 1997, 1999, 2001 and 2002.

1. What was the percentage decline in the production of fertilizers from 1997 to 1998?

1. On the basis of given graph in question ,
The production of fertilizer in year 1997 = 60
The production of fertilizer in year 1998 = 45
Decrease = 60 - 45 = 15

 Percentage decrease = Decrease × 100 The production of fertilizer in year 1997

##### Correct Option: C

On the basis of given graph in question ,
The production of fertilizer in year 1997 = 60
The production of fertilizer in year 1998 = 45
Decrease = 60 - 45 = 15

 Percentage decrease = Decrease × 100 The production of fertilizer in year 1997

 Percentage decrease = 15 × 100 = 25% 60

Direction: Study the following graph and answer the questions given below it.

1. In how many of the given years was the production of salt more than the average production of the given years?

1. As per the given bar graph in question ,
Total production of salt from 2001 to 2008 = 40 + 30 + 70 + 25 + 55 + 50 + 80 + 90 = 440 × 1000 tonnes = 440000
Number of years from 2001 to 2008 = 8

 Average production = Total production of salt from 2001 to 2008 tonnes Number of years from 2001 to 2008

 Average production = (40 + 30 + 70 + 25 + 55 + 50 + 80 + 90) × 1000 tonnes 8

##### Correct Option: C

As per the given bar graph in question ,
Total production of salt from 2001 to 2008 = 40 + 30 + 70 + 25 + 55 + 50 + 80 + 90 = 440 × 1000 tonnes = 440000
Number of years from 2001 to 2008 = 8

 Average production = Total production of salt from 2001 to 2008 tonnes Number of years from 2001 to 2008

 Average production = (40 + 30 + 70 + 25 + 55 + 50 + 80 + 90) × 1000 tonnes 8

 Average production = 440 × 1000 = 55000 tonnes 8

Years having more production than it = 2003, 2007 and 2008