## Introduction to Data Interpretation

#### Data Interpretation

Direction: The bar graph provided below gives the data of the production of paper (in lakh tonnes) by three different companies X, Y and Z over the years. Study the bar chart and answer the following questions.

1. The percentage increase in the production of company Y from 1996 to 1999 is :

1. According to given bar graph , we have
Production of company Y in 1996 = 25 lakh tonnes
Production of company Y in 1999 = 40 lakh tonnes
Increase in production = 40 - 25 = 15 lakh tonnes

 Required percentage increase = Increase in production × 100 Production of company Y in 1996

##### Correct Option: A

According to given bar graph , we have
Production of company Y in 1996 = 25 lakh tonnes
Production of company Y in 1999 = 40 lakh tonnes
Increase in production = 40 - 25 = 15 lakh tonnes

 Required percentage increase = Increase in production × 100 Production of company Y in 1996

 Required percentage increase = 15 × 100 = 60 % 25

1. The average production for five years is maximum for which company?

1. From the given bar diagram , we see
Total production of Company X for 5 years = 30 + 45 + 25 + 50 + 40 = 190 lakh tonnes
Number of given years = 5

 Average production of Company X = Total production of Company X for 5 years lakh tonnes Number of given years

 Average production of Company X = 190 = 38 lakh tonnes 5

Total production of Company Y for 5 years = 25 + 35 + 35 + 40 + 50 = 185 lakh tonnes
Number of given years = 5
 Average production of Company Y = Total production of Company Y for 5 years lakh tonnes Number of given years

 Average production of Company Y = 185 = 37 lakh tonnes 5

Total production of Company Z for 5 years = 35 + 40 + 45 + 35 + 35 = 190 lakh tonnes
Number of given years = 5

##### Correct Option: A

From the given bar diagram , we see
Total production of Company X for 5 years = 30 + 45 + 25 + 50 + 40 = 190 lakh tonnes
Number of given years = 5

 Average production of Company X = Total production of Company X for 5 years lakh tonnes Number of given years

 Average production of Company X = 190 = 38 lakh tonnes 5

Total production of Company Y for 5 years = 25 + 35 + 35 + 40 + 50 = 185 lakh tonnes
Number of given years = 5
 Average production of Company Y = Total production of Company Y for 5 years lakh tonnes Number of given years

 Average production of Company Y = 185 = 37 lakh tonnes 5

Total production of Company Z for 5 years = 35 + 40 + 45 + 35 + 35 = 190 lakh tonnes
Number of given years = 5
 Average production of Company Z = Total production of Company Z for 5 years lakh tonnes Number of given years

 Average production of Company Z = 190 = 38 lakh tonnes 5

Thus , required answer is companies X and Z .

1. The ration of the average production of company X in the period 1998-2000 to the average production of company Y in the same period is :

1. As per the given bar graph , we have
Total production of company X during 1998 – 2000 = 25 + 50 + 40 = 115 lakh tonnes
Number of given years = 3

 Average production of company X ⇒ Total production of company X lakh tonnes Number of given years

 Average production of company X = 115 lakh tonnes 3

Total production of company Y during 1998 – 2000 = 35 + 40 + 50 = 125 lakh tonnes
Number of given years = 3
 Average production of company Y ⇒ Total production of company Y lakh tonnes Number of given years

##### Correct Option: B

As per the given bar graph , we have
Total production of company X during 1998 – 2000 = 25 + 50 + 40 = 115 lakh tonnes
Number of given years = 3

 Average production of company X ⇒ Total production of company X lakh tonnes Number of given years

 Average production of company X = 115 lakh tonnes 3

Total production of company Y during 1998 – 2000 = 35 + 40 + 50 = 125 lakh tonnes
Number of given years = 3
 Average production of company Y ⇒ Total production of company Y lakh tonnes Number of given years

 Average production of company Y ⇒ 125 lakh tonnes 3

 Required ratio = 115 : 125 = 23 : 25 3 3

1. The percentage of production of company Z to the production of company Y is maximum in :

1. On the basis of given graph in question ,
Production of company Z in 1996 = 35 lakh tonnes
Production of company Y in 1996 = 25 lakh tonnes

 Percentage of production in year 1996 ⇒ 35 × 100 = 140% 25

Production of company Z in 1997 = 40 lakh tonnes
Production of company Y in 1997 = 35 lakh tonnes
 Percentage of production in year 1997 ⇒ 40 × 100 ≈ 114% 35

##### Correct Option: B

On the basis of given graph in question ,
Production of company Z in 1996 = 35 lakh tonnes
Production of company Y in 1996 = 25 lakh tonnes

 Percentage of production in year 1996 ⇒ 35 × 100 = 140% 25

Production of company Z in 1997 = 40 lakh tonnes
Production of company Y in 1997 = 35 lakh tonnes
 Percentage of production in year 1997 ⇒ 40 × 100 ≈ 114% 35

Production of company Z in 1998 = 45 lakh tonnes
Production of company Y in 1998 = 35 lakh tonnes
 Percentage of production in year 1998 ⇒ 45 × 100 ≈ 129% 35

Therefore , The percentage of production of company Z to the production of company Y is maximum in 1996 .

Direction: The following chart represents Demand and Production for 5 companies ABCDE. On the basis of the graph answer the questions.

1. The ratio of the number of companies having more demand than production to those having more production than demand is :

1. From the given bar diagram , we see
Number of companies having more demand than production ( having A , C and E companies ) = 3
Number of companies having more production than demand ( having B and D companies ) = 2
Required ratio = Number of companies having more demand than production : Number of companies having more production than demand

##### Correct Option: C

From the given bar diagram , we see
Number of companies having more demand than production ( having A , C and E companies ) = 3
Number of companies having more production than demand ( having B and D companies ) = 2
Required ratio = Number of companies having more demand than production : Number of companies having more production than demand
∴ Required ratio = 3 : 2