## Introduction to Data Interpretation

#### Data Interpretation

Direction: Study the following table and answer the questions. 1. The difference in the average number of candidates qualified in Science discipline per year from 2006 to 2008 and the average number of candidates qualified in the same discipline from 2009 to 2011 was

1. As per the given above table , we see

 Candidates qualified under science discipline in year 2006 ⇒ 780 × 40 = 312 100

 Candidates qualified under science discipline in year 2007 ⇒ 650 × 42 = 273 100

 Candidates qualified under science discipline in year 2008 ⇒ 500 × 45 = 225 100

##### Correct Option: A

As per the given above table , we see

 Candidates qualified under science discipline in year 2006 ⇒ 780 × 40 = 312 100

 Candidates qualified under science discipline in year 2007 ⇒ 650 × 42 = 273 100

 Candidates qualified under science discipline in year 2008 ⇒ 500 × 45 = 225 100

 Candidates qualified under science discipline in year 2009 ⇒ 45 × 620 = 279 100

 Candidates qualified under science discipline in year 2010 ⇒ 35 × 900 = 315 100

 Candidates qualified under science discipline in year 2011 ⇒ 42 × 850 = 357 100

Required average difference = Average number of candidates qualified in Science year from 2009 to 20011 - Average number of candidates qualified in Science year from 2006 to 2008
 Required average difference = 1 [(279 + 315 + 357) – (312 + 273 + 225)] = 1 (951 – 810) 3 3

 = 1 × 141 = 47 3

1. The decrease in the number of candidates qualified under Arts discipline from 2010 to 2011 was

1. According to given table, we have

 Candidates qualified under arts discipline In 2010 = 900 × 19 = 171 100

 Candidates qualified under arts discipline In 2011 = 850 × 18 = 153 100

Required difference = Candidates qualified under arts discipline In 2010 - Candidates qualified under arts discipline In 2011

##### Correct Option: B

According to given table, we have

 Candidates qualified under arts discipline In 2010 = 900 × 19 = 171 100

 Candidates qualified under arts discipline In 2011 = 850 × 18 = 153 100

Required difference = Candidates qualified under arts discipline In 2010 - Candidates qualified under arts discipline In 2011
∴ Required difference = 171 – 153 = 18

Direction: A table showing the percentage of the total population of a State by age groups for the year 1991 is given below. Answer the questions given below it. 1. If the difference between the number of people in the age groups (46 – 55) and (26 – 35) is 11.75 millions, then the total population of the State is approximately :

1. As per the given above table , we see
Difference in percent of people in the age groups (46 – 55) and (26 – 35) = 17.25 – 14.25 = 3%
Now, 3% of total Population = 11.75 million

##### Correct Option: B

As per the given above table , we see
Difference in percent of people in the age groups (46 – 55) and (26 – 35) = 17.25 – 14.25 = 3%
Now, 3% of total Population = 11.75 million

 ∴ Total Population = 11.75 × 100 = 391.67 millions (approx.) 3

1. If there are 10 millions people in the age group 56 years and above, what is the difference between the number of people in the age group 16 – 25 and 46 – 55?

1. On the basis of given table in question ,
Percent of population in the age group 56 years and above = 5.12 + 1.13 = 6.25
Now, 6.25% of population = 10 millions

 ∴ Total Population = 10 × 100 millions = 160 millions 6.25

Difference in per cent of people in the age groups (16 – 25) and (46 – 55) = 17.75 – 14.25 = 3.5%
∴ The required difference = 3.5% of 160 millions

##### Correct Option: B

On the basis of given table in question ,
Percent of population in the age group 56 years and above = 5.12 + 1.13 = 6.25
Now, 6.25% of population = 10 millions

 ∴ Total Population = 10 × 100 millions = 160 millions 6.25

Difference in per cent of people in the age groups (16 – 25) and (46 – 55) = 17.75 – 14.25 = 3.5%
∴ The required difference = 3.5% of 160 millions
 The required difference = 3.5 × 160 = 5.6 millions 100

1. There are 200 million people below 36 years. How many millions (approx.) people are in the age group 56 – 65?

1. As per the given above table , we see
Below 36 years, the percent of population is (30 + 17.75 + 17.25) = 65%
Number of people age group below 36 years = 200 millions
Percent of people in age group 56 – 65 = 5.12%

##### Correct Option: B

As per the given above table , we see
Below 36 years, the percent of population is (30 + 17.75 + 17.25) = 65%
Number of people age group below 36 years = 200 millions
Percent of people in age group 56 – 65 = 5.12%

 ∴ The required number of people = 200 × 5.12 millions = 15.75 millions 65