## Introduction to Data Interpretation

#### Data Interpretation

Direction: The numbers of different colleges in India in different years is given in the graph below. Per cent distribution of different colleges in year 1980 and 1990 is shown in pie chart

1. The difference in number of management colleges in 1980 to 1990 is :

1. On the basis of given graph and pie chart in question ,
Percent of Management colleges in 80’s = 10%
Number of colleges in 80’s = 20000
Percent of Management colleges in 90’s = 19%
Number of colleges in 90’s = 40000

 Number of Management colleges in 80’s = 20000 × 10 = 2000 100

##### Correct Option: C

On the basis of given graph and pie chart in question ,
Percent of Management colleges in 80’s = 10%
Number of colleges in 80’s = 20000
Percent of Management colleges in 90’s = 19%
Number of colleges in 90’s = 40000

 Number of Management colleges in 80’s = 20000 × 10 = 2000 100

 Number of Management colleges in 90’s = 40000 × 19 = 7600 100

Required difference = 7600 – 2000 = 5600

Direction: The following pie-chart shows the study time of different subjects of a student in a day. Study the pie–chart and answer the following questions

1. If the student studied chemistry for 3 hours, then he/she studied geography for

1. On the basis of given pie chart in question ,
The student studied chemistry = 3 hours
Percent of studying chemistry students = 15%
Percent of studying geography students = 10%
∵ 15% ≡ 3 hours

##### Correct Option: B

On the basis of given pie chart in question ,
The student studied chemistry = 3 hours
Percent of studying chemistry students = 15%
Percent of studying geography students = 10%
∵ 15% ≡ 3 hours

 ∴ 10% ≡ 3 × 10 = 2 hours 15

1. If the student studied 10 hours in a day, then he/she studied mathematics for

1. As per the given pie chart in question ,
Percent of studying given all subject by students = 100%
Percent of studying mathematics students = 30%
The student studied in a day = 10 hours
∵ 100% ≡ 10 hours

 ∴ 1% = 10 100

##### Correct Option: A

As per the given pie chart in question ,
Percent of studying given all subject by students = 100%
Percent of studying mathematics students = 30%
The student studied in a day = 10 hours
∵ 100% ≡ 10 hours

 ∴ 1% = 10 100

 ∴ 30% ≡ 10 × 30 = 3 hours 100

1. Instead of 10%, if the student spends 15% to study other subjects and the time is taken from the time scheduled to study mathematics and if he/she used to study 20 hours per day, then the difference of time for studying mathematics per day is :

1. On the basis of given pie chart in question ,
Percent of studying Maths students = 30%
Time spent in mathematics in a day = 20 hours

 Usual time spent in studying Maths = 2 × 30 = 6 hours 100

 Usual time spent in studying other subjects = 10 × 20 = 2 hours 100

##### Correct Option: C

On the basis of given pie chart in question ,
Percent of studying Maths students = 30%
Time spent in mathematics in a day = 20 hours

 Usual time spent in studying Maths = 2 × 30 = 6 hours 100

 Usual time spent in studying other subjects = 10 × 20 = 2 hours 100

 New time spent in studying other subjects = 15 × 20 = 3 hours 100

Difference = New time spent in studying other subjects - Usual time spent in studying other subjects
Difference = 3 – 2 = 1 hours

Direction: The Pie- chart shows the result of a survey among 119060 people concerning the use of tobacco. Study the Pie-chart and answer the questions.

1. Let P be the percentage of people using Cigarettes, Pipe and Bidi as their smoking means and Q be the percentage of people using other means as their smoking habits. Then P is more than Q by :

1. As per the given pie chart in question ,
Corresponding angle for cigarette, pipe and bidi users = 180° + 36° + 90° = 306°
Corresponding angle for other product consumers = 36°
Difference = Corresponding angle for cigarette, pipe and bidi users - Corresponding angle for other product consumers = 306 – 36 = 270°
As we know that , 360° ≡ 100%

##### Correct Option: D

As per the given pie chart in question ,
Corresponding angle for cigarette, pipe and bidi users = 180° + 36° + 90° = 306°
Corresponding angle for other product consumers = 36°
Difference = Corresponding angle for cigarette, pipe and bidi users - Corresponding angle for other product consumers = 306 – 36 = 270°
As we know that , 360° ≡ 100%

 ∴ 270° ≡ 100 × 270 = 75% 360