## Introduction to Data Interpretation

#### Data Interpretation

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

1. If the pass mark be 30, what is the number of failures?

1. According to question , we seen in above bar graph
Number of students who obtained 0 - 10 marks = 2
Number of students who obtained 10 - 20 marks = 6
Number of students who obtained 20 - 30 marks = 10

##### Correct Option: C

According to question , we seen in above bar graph
Number of students who obtained 0 - 10 marks = 2
Number of students who obtained 10 - 20 marks = 6
Number of students who obtained 20 - 30 marks = 10
Total number of failures = 2 + 6 + 10 = 18

1. How many students have obtained marks 50 and above?

1. As per the given bar graph , we see
Number of students who obtained 50 - 60 marks = 4
Number of students who obtained 60- 70 marks = 7
Number of students who obtained 70 - 80 marks = 5

##### Correct Option: D

As per the given bar graph , we see
Number of students who obtained 50 - 60 marks = 4
Number of students who obtained 60- 70 marks = 7
Number of students who obtained 70 - 80 marks = 5
Required total number of students = 4 + 7 + 5 = 16

Direction: The following bar-diagram shows total number of males and females in five different organisations. Study it carefully to answer the questions. 1. What is the ratio of average number of females from the organisations A, B and C to the average number of males from the organisations C, D and E?

1. From the given bar diagram , we see
Total number of females from the organisations A, B and C = 3000 + 3500 + 4000 = 10500
Total number of males from the organisations C, D and E = 4700 + 2250 + 3250 = 10200
Number of given organisation = 3
Required ratio = Average number of females from the organisations A, B and C : Average number of males from the organisations C, D and E

 Required ratio = Total number of females from the organisations A, B and C : Total number of males from the organisations C, D and E Number of given organisation Number of given organisation

##### Correct Option: E

From the given bar diagram , we see
Total number of females from the organisations A, B and C = 3000 + 3500 + 4000 = 10500
Total number of males from the organisations C, D and E = 4700 + 2250 + 3250 = 10200
Number of given organisation = 3
Required ratio = Average number of females from the organisations A, B and C : Average number of males from the organisations C, D and E

 Required ratio = Total number of females from the organisations A, B and C : Total number of males from the organisations C, D and E Number of given organisation Number of given organisation

 Required ratio = 10500 : 10200 = 3500 : 3400 = 35 : 34 3 3

1. Males from organisations A and B together form what percent of total number of males from organisations C, D and E together?

1. As per the given bar graph , we have
Number of males from organisations A and B = 3500 + 4500 = 8000
Total number of males from organisations C, D and E = 4700 + 2250 + 3250 = 10200

 Required percent = Number of males from organisations A and B × 100 Total number of males from organisations C, D and E

##### Correct Option: A

As per the given bar graph , we have
Number of males from organisations A and B = 3500 + 4500 = 8000
Total number of males from organisations C, D and E = 4700 + 2250 + 3250 = 10200

 Required percent = Number of males from organisations A and B × 100 Total number of males from organisations C, D and E

 Required percent = 8000 × 100 ≈ 78.4 10200