## Introduction to Data Interpretation

#### Data Interpretation

1. In the following table year-wise ratio of number of taxable and non-taxable products produced by a company has been shown. The total production of the company increases by 10% every year. Find the ratio of taxable products produced in year 2011 and 2012 and non-taxable products produced in years 2011 and 2012.

1. According to given table, we have
In 2011, Taxable products = 4y
Non-taxable products = y

 In 2012, Total products = 5y × 110 100

 Total products = 11y 2

 Taxable products = 11y × 2 2 5

 Taxable products = 11y 5

 Non-taxable products = 11y × 3 = 33y 2 5 10

##### Correct Option: B

According to given table, we have
In 2011, Taxable products = 4y
Non-taxable products = y

 In 2012, Total products = 5y × 110 100

 Total products = 11y 2

 Taxable products = 11y × 2 2 5

 Taxable products = 11y 5

 Non-taxable products = 11y × 3 = 33y 2 5 10

 ∴ Required ratio = 4y + 11y : y + 33y 5 10

 Required ratio = 20y + 11y : 10y + 33y 5 10

 Required ratio = 31y : 43y = 62 : 43 5 10

Direction: Study the following data and answer the questions. 1. The number of students whose IQ score is 100 and more is

1. On the basis of given table in question ,
Number of students whose IQ score in interval 100-110 = 16
Number of students whose IQ score in interval 110-120 = 13
Number of students whose IQ score in interval 120-130 = 4
Number of students whose IQ score in interval 130-140 = 2

##### Correct Option: B

On the basis of given table in question ,
Number of students whose IQ score in interval 100-110 = 16
Number of students whose IQ score in interval 110-120 = 13
Number of students whose IQ score in interval 120-130 = 4
Number of students whose IQ score in interval 130-140 = 2
Total number of students whose IQ score is 100 and more = 16 + 13 + 4 + 2 = 35

1. Number of students whose IQ score is 140 is

1. As per the given above table , we see
Number of students whose IQ score 130–140 ⇒ 2
Number of students whose IQ score of 140 ⇒ Given data is not sufficient for answer .

##### Correct Option: A

As per the given above table , we see
Number of students whose IQ score 130–140 ⇒ 2
Number of students whose IQ score of 140 ⇒ Given data is not sufficient for answer .
Hence , option A is correct answer .

Direction: Study the following frequency polygon and answer the questions. Given a line graph showing the number of students passed in Higher Secondary Examination in a school over the years 2008 to 2013. 1. The decrease in percentage of passed students from 2011 to 2012 approximately is

1. According to given table, we have
Number of passed students in 2011 = 170
Number of passed students in 2012 = 156
Decrease = 170 - 156 = 14

 Required percentage decrease = Decrease × 100 Number of passed students in 2011

##### Correct Option: C

According to given table, we have
Number of passed students in 2011 = 170
Number of passed students in 2012 = 156
Decrease = 170 - 156 = 14

 Required percentage decrease = Decrease × 100 Number of passed students in 2011

 Required percentage decrease = 14 × 100 = 8.24% 170

1. The increase in percentage of passed students from 2008 to 2011 approximately is

1. As per the given above table , we see
Number of passed students in 2008 = 110
Number of passed students in 2011 = 170
Increase = 170 - 110 = 60

 Required percentage increase = Increase × 100 Number of passed students in 2008

##### Correct Option: C

As per the given above table , we see
Number of passed students in 2008 = 110
Number of passed students in 2011 = 170
Increase = 170 - 110 = 60

 Required percentage increase = Increase × 100 Number of passed students in 2008

 Required percentage increase = 60 × 100 = 54.5% 110