## Introduction to Data Interpretation

#### Data Interpretation

Direction: Read the bar graph given below and answer the questions.

1. Which of the above states is the largest producer of rice?

1. On the basis of given graph in question , we see that the bar of West Bengal is the largest.

##### Correct Option: B

On the basis of given graph in question , we see that the bar of West Bengal is the largest. Hence , West Bengal is the largest producer of rice .

1. Which of the above states is least producer of wheat?

1. From the given bar diagram , we see that the bar of West Bengal (W.B.) is lowest.

##### Correct Option: B

From the given bar diagram , we see that the bar of West Bengal (W.B.) is lowest. So , West Bengal ( W.B.) state is least producer of wheat . Hence , correct answer is option B .

Direction: Student’s strength of a college in Arts, Science and Commerce from 2004-05 to 2007- 08 sessions are shown in the following bar graph. Study the graph and answer the questions.

1. The % increase in Science students in 2007-08 over 2006-07 was

1. As per the given bar graph , we have
Number of Science students in 2007-08 = 500
Number of Science students in 2006-07 = 450
Increase = 500 - 450 = 50

 Percentage increase in Science students = Increase × 100 Number of Science students in 2006-07

 Percentage increase in Science students = 50 × 100 450

##### Correct Option: B

As per the given bar graph , we have
Number of Science students in 2007-08 = 500
Number of Science students in 2006-07 = 450
Increase = 500 - 450 = 50

 Percentage increase in Science students = Increase × 100 Number of Science students in 2006-07

 Percentage increase in Science students = 50 × 100 450

 Percentage increase in Science students = 100 = 11.1% 9

1. The ratio of average number of students in Arts to the average number of students in Commerce is

1. On the basis of given graph in question ,
Total number of students in arts = 600 + 550 + 550 + 700 = 2400
Total number of students in commerce = 200 + 250 + 300 + 250 = 1000
Number of given years = 4
Required Ratio = Average number of students in Arts : Average number of students in commerce

##### Correct Option: A

On the basis of given graph in question ,
Total number of students in arts = 600 + 550 + 550 + 700 = 2400
Total number of students in commerce = 200 + 250 + 300 + 250 = 1000
Number of given years = 4
Required Ratio = Average number of students in Arts : Average number of students in commerce

 Required Ratio = 2400 : 1000 4 4

Required Ratio = 24 : 10 = 12 : 5

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