## Introduction to Data Interpretation

#### Data Interpretation

Direction: Observe the graph below and answer the following question.

1. What is the approximate percentage difference in average price of Petrol in 2004 and in 2014?

1. According to given graph in question ,
Average price of Petrol in 2004 = 73.70
Average price of Petrol in 2014 = 36.49

 Required percent = 73.70 - 36.49 × 100 36.49

##### Correct Option: C

According to given graph in question ,
Average price of Petrol in 2004 = 73.70
Average price of Petrol in 2014 = 36.49

 Required percent = 73.70 - 36.49 × 100 36.49

 Required percent = 3721 ≈ 102% 36.49

Direction: The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions.

1. The production of Type Q vehicles in 2010 was approximately what percent of Type P vehicles in 2014?

1. On the basis of given graph in question ,
The production of Type Q vehicles in 2010 = 150
The production of Type P vehicles in 2014 = 275

 Required percent = The production of Type Q vehicles in 2010 × 100 The production of Type P vehicles in 2014

##### Correct Option: C

On the basis of given graph in question ,
The production of Type Q vehicles in 2010 = 150
The production of Type P vehicles in 2014 = 275

 Required percent = The production of Type Q vehicles in 2010 × 100 The production of Type P vehicles in 2014

 Required percent = 150 × 100 = 54.5% 275

1. The ratio of total production of Type P vehicles to total production of type Q vehicles over the years is

1. From the given line graph in question ,
Total production of type P vehicles = 1200 thousands
Total production of type Q vehicles = 175 + 150 + 125 + 175 + 175 + 225 = 1025
∴ Required ratio = Total production of type P vehicles : Total production of type Q vehicles

##### Correct Option: A

From the given line graph in question ,
Total production of type P vehicles = 1200 thousands
Total production of type Q vehicles = 175 + 150 + 125 + 175 + 175 + 225 = 1025
∴ Required ratio = Total production of type P vehicles : Total production of type Q vehicles
∴ Required ratio = 1200 : 1025 = 48 : 41

1. The total production of Type P vehicles in the years 2009 and 2011 is what percent of total production of Type Q vehicles in 2010 and 2014?

1. On the basis of given graph in question ,
Total production of type P vechicles in 2009 and 2011 = 100 + 200 = 300 thousands
Total production of type Q vehicles in 2010 and 2014 = 150 + 225 = 375 thousands

 ∴ Required percent = Total production of type P vechicles in 2009 and 2011 × 100 Total production of type Q vehicles in 2010 and 2014

##### Correct Option: C

On the basis of given graph in question ,
Total production of type P vechicles in 2009 and 2011 = 100 + 200 = 300 thousands
Total production of type Q vehicles in 2010 and 2014 = 150 + 225 = 375 thousands

 ∴ Required percent = Total production of type P vechicles in 2009 and 2011 × 100 Total production of type Q vehicles in 2010 and 2014

 ∴ Required percent = 300 × 100 = 80% 375

1. Approximate percentage decrease in the production of Type Q vehicles from 2010 to 2011 is

1. From the given line graph in question , we have
The production of Type Q vehicles in year 2010 = 150 thousands
The production of Type Q vehicles in year 2011 = 125 thousands
Decrease in the production = The production of Type Q vehicles in year 2010 - The production of Type Q vehicles in year 2011 = 150 - 125 = 25

 Required percentage decrease = Decrease in the production × 100 The production of Type Q vehicles in year 2010

##### Correct Option: B

From the given line graph in question , we have
The production of Type Q vehicles in year 2010 = 150 thousands
The production of Type Q vehicles in year 2011 = 125 thousands
Decrease in the production = The production of Type Q vehicles in year 2010 - The production of Type Q vehicles in year 2011 = 150 - 125 = 25

 Required percentage decrease = Decrease in the production × 100 The production of Type Q vehicles in year 2010

 Required percentage decrease = 25 × 100 = 50 = 16.7% 150 3