## Introduction to Data Interpretation

#### Data Interpretation

Direction: Study the following graph and answer the given questions 1. What was the difference between the average amount invested in raw materials during the given period and the average value of sales of finished goods during this period?

1. From the given bar diagram , we see
Total amount invested in raw materials in given years = 120 + 225 + 375 + 330 + 252 + 420 = 1995
Number of given years = 6

 Average of total investment = Total amount invested in raw materials in given years Number of given years

 Average of total investment = 1995 = \$ 332.5 lakhs 6

Total value of sales of finished goods in given years = 200 + 300 + 500 + 400 + 600 + 460 = 2460
Number of given years = 6
 Average value of sales = Total value of sales of finished goods in given years Number of given years

##### Correct Option: D

From the given bar diagram , we see
Total amount invested in raw materials in given years = 120 + 225 + 375 + 330 + 252 + 420 = 1995
Number of given years = 6

 Average of total investment = Total amount invested in raw materials in given years Number of given years

 Average of total investment = 1995 = \$ 332.5 lakhs 6

Total value of sales of finished goods in given years = 200 + 300 + 500 + 400 + 600 + 460 = 2460
Number of given years = 6
 Average value of sales = Total value of sales of finished goods in given years Number of given years

 Average value of sales = 2460 = \$ 410 lakhs 6

Difference = Average value of sales - Average of total investment
Difference = 410 – 332.5 = 77.5 lakh

1. In which year, there has been a maximum percentage increase in the amount invested in raw materials as compared to the previous year?

1. According to given bar graph , we have
The amount invested in raw materials in 1996 = \$ 225 lakhs
The amount invested in raw materials in 1995 = \$ 120 lakhs
Increase = 225 - 120 = \$ 105 lakhs
In Year 1996 ⇒

 Percentage increase = Increase The amount invested in raw materials in 1995

 Percentage increase = 105 × 100 ≈ 87.5% 120

The amount invested in raw materials in 1996 = \$ 225 lakhs
The amount invested in raw materials in 1997 = \$ 375 lakhs
Increase = 375 - 225 = \$ 150 lakhs

##### Correct Option: A

According to given bar graph , we have
The amount invested in raw materials in 1996 = \$ 225 lakhs
The amount invested in raw materials in 1995 = \$ 120 lakhs
Increase = 225 - 120 = \$ 105 lakhs
In Year 1996 ⇒

 Percentage increase = Increase The amount invested in raw materials in 1995

 Percentage increase = 105 × 100 ≈ 87.5% 120

The amount invested in raw materials in 1996 = \$ 225 lakhs
The amount invested in raw materials in 1997 = \$ 375 lakhs
Increase = 375 - 225 = \$ 150 lakhs
In Year 1997 ⇒
 Percentage increase = 150 × 100 ≈ 67% 225

Therefore , required answer is 1996 year.

1. The average Kharif production of the given years is Production of pulses in Rabi and Kharif season (in million tonnes) 1. On the basis of given graph in question ,
Total Kharif production of the given years = 5 + 4 + 4 + 3 + 4 = 20
Number of give years = 5

 Required average = Total Kharif production of the given years Number of give years

##### Correct Option: A

On the basis of given graph in question ,
Total Kharif production of the given years = 5 + 4 + 4 + 3 + 4 = 20
Number of give years = 5

 Required average = Total Kharif production of the given years Number of give years

 Required average = 5 + 4 + 4 + 3 + 4 million tonnes = 4 million tonnes 5

Direction: Study the following multiple bar graph carefully and answer the questions 1. In which year or years, the difference between the number of working and non-working women the lowest?

1. From the given bar diagram , we see
The number of non-working women in the year 2006 = 60 millions
The number of working women in the year 2006 = 50 millions
Difference in 2006 = 60 - 50 = 10 millions
The number of non-working women in the year 2007 = 50 millions
The number of working women in the year 2007 = 60 millions
Difference in 2007 = 60 - 50 = 10 millions

##### Correct Option: A

From the given bar diagram , we see
The number of non-working women in the year 2006 = 60 millions
The number of working women in the year 2006 = 50 millions
Difference in 2006 = 60 - 50 = 10 millions
The number of non-working women in the year 2007 = 50 millions
The number of working women in the year 2007 = 60 millions
Difference in 2007 = 60 - 50 = 10 millions
Hence , required years are 2006 and 2007 in which difference between them is lowest .

1. In which year was the difference between the number of working and non-working women the highest?

1. On the basis of given graph in question ,
The number of non-working women in the year 2010 = 35 millions
The number of working women in the year 2010 = 85 millions
Required difference = The number of working women in the year 2010 - The number of non-working women in the year 2010

##### Correct Option: D

On the basis of given graph in question ,
The number of non-working women in the year 2010 = 35 millions
The number of working women in the year 2010 = 85 millions
Required difference = The number of working women in the year 2010 - The number of non-working women in the year 2010
Difference in 2010 = 85 – 35 = 50 million