## Introduction to Data Interpretation

#### Data Interpretation

Direction: Study the following histogram and answer the questions.

1. The number of persons in the age group 20 – 30 years is :

1. On the basis of given graph in question ,
Number of persons in the age group 20 – 25 years = 250
Number of persons in the age group 25 – 30 years = 250
Required answer = Number of persons in the age group 20– 25 years + Number of persons in the age group 25–30 years

##### Correct Option: B

On the basis of given graph in question ,
Number of persons in the age group 20 – 25 years = 250
Number of persons in the age group 25 – 30 years = 250
Required answer = Number of persons in the age group 20–25 years + Number of persons in the age group 25–30 years
Required answer = 250 + 150 = 400

1. The total number of persons in the age group of 15 years to 45 years is :

1. According to given histogram , we have
Number of persons in the age group of 15 - 20 years = 450
Number of persons in the age group of 20 - 25 years = 250
Number of persons in the age group of 25 - 30 years = 150
Number of persons in the age group of 30 - 35 years = 75
Number of persons in the age group of 35 - 40 years = 50
Number of persons in the age group of 40 - 45 years = 25

##### Correct Option: C

According to given histogram , we have
Number of persons in the age group of 15 - 20 years = 450
Number of persons in the age group of 20 - 25 years = 250
Number of persons in the age group of 25 - 30 years = 150
Number of persons in the age group of 30 - 35 years = 75
Number of persons in the age group of 35 - 40 years = 50
Number of persons in the age group of 40 - 45 years = 25
Total number of persons in the age group of 15 years to 45 years = 450 + 250 + 150 + 75 + 50 + 25 = 1000

Direction: The histogram shows the marks obtained by 45 students of a class. Look at the histogram and answer the questions.

1. How many students have obtained 30 or more marks but less than 40?

1. From the given bar diagram , we seen in bar of class interval 30–40
Number of students who obtained 30 or more marks but less than 40 = 3

##### Correct Option: A

From the given bar diagram , we seen in bar of class interval 30–40
Number of students who obtained 30 or more marks but less than 40 = 3
Thus , correct answer is option A .

1. How many students have obtained marks less than 10?

1. According to given bar graph , we have
Number of students who have obtained marks less than 10 = 2

##### Correct Option: A

According to given bar graph , we have
Number of students who have obtained marks less than 10 = 2
Hence , required answer is option A .

1. If the pass mark be 30, what is the percentage of successful students?

1. On the basis of given graph in question ,
Total number of students = 2 + 6 + 10 + 3 + 8 + 4 + 7 + 5 = 45
Number of failures = 2 + 6 + 10 = 18
Number of successful students = 45 – 18 = 27

 ∴ Required percentage = Number of successful students × 100 Total number of students

##### Correct Option: B

On the basis of given graph in question ,
Total number of students = 2 + 6 + 10 + 3 + 8 + 4 + 7 + 5 = 45
Number of failures = 2 + 6 + 10 = 18
Number of successful students = 45 – 18 = 27

 ∴ Required percentage = Number of successful students × 100 Total number of students

 Required percentage = 27 × 100 = 60% 45