## Introduction to Data Interpretation

#### Data Interpretation

Direction: Following histogram depicts the range of heights of students in a class of 60 students. Study the same and answer the questions.

1. The number of students with their heights between 130 to 150 cms is

1. According to given bar graph , we have
The number of students having height interval 130-140 = 6
The number of students having height interval 140-150 = 8
Required number of students = The number of students having height interval 130-140 + The number of students having height interval 140-150

##### Correct Option: C

According to given bar graph , we have
The number of students having height interval 130-140 = 6
The number of students having height interval 140-150 = 8
Required number of students = The number of students having height interval 130-140 + The number of students having height interval 140-150
Required number of students = 6 + 8 = 14

1. The number of students having height more than 150 cms is

1. On the basis of given graph in question ,
The number of students having height interval 150-160 = 25
The number of students having height interval 160-170 = 7
The number of students having height interval 170-180 = 4
The number of students having height interval 180-190 = 2

##### Correct Option: C

On the basis of given graph in question ,
The number of students having height interval 150-160 = 25
The number of students having height interval 160-170 = 7
The number of students having height interval 170-180 = 4
The number of students having height interval 180-190 = 2
Required number of students = 25 + 7 + 4 + 2 = 38

Direction: The histogram, given below, shows the number of families of a locality having various daily incomes, as obtained by a survey. Observe the graph and answer the questions based on it.

1. What percent of families have their daily incomes less than \$ 500?

1. As per the given above bar graph , we have
Number of families who have daily income interval 0-100 = 15
Number of families who have daily income interval 100-200 = 10
Number of families who have daily income interval 200-300 = 40
Number of families who have daily income interval 300-400 = 5
Number of families who have daily income interval 400-500 = 20
Number of families who have daily incomes less than \$ 500 = 15 + 10 + 40 + 5 + 20 = 90
Total number of families = 15 + 10 + 40 + 5 + 20 + 30 + 15 + 10 + 40 + 15 = 200

##### Correct Option: B

As per the given above bar graph , we have
Number of families who have daily income interval 0-100 = 15
Number of families who have daily income interval 100-200 = 10
Number of families who have daily income interval 200-300 = 40
Number of families who have daily income interval 300-400 = 5
Number of families who have daily income interval 400-500 = 20
Number of families who have daily incomes less than \$ 500 = 15 + 10 + 40 + 5 + 20 = 90
Total number of families = 15 + 10 + 40 + 5 + 20 + 30 + 15 + 10 + 40 + 15 = 200

 Required percentage = 90 × 100 = 45% 200

1. The number of families, whose daily incomes are between \$ 500 and \$ 800, is

1. On the basis of given graph in question ,
Number of families in daily income interval 500-600 = 30
Number of families in daily income interval 600-700 = 15
Number of families in daily income interval 700-800 = 10
Required answer = Number of families in daily income interval 500-600 + Number of families in daily income interval 600-700 + Number of families in daily income interval 700-800

##### Correct Option: D

On the basis of given graph in question ,
Number of families in daily income interval 500-600 = 30
Number of families in daily income interval 600-700 = 15
Number of families in daily income interval 700-800 = 10
Required answer = Number of families in daily income interval 500-600 + Number of families in daily income interval 600-700 + Number of families in daily income interval 700-800

1. The number of families, whose daily incomes are below \$ 200, is

1. As per the given above bar graph , we can see
Number of families in daily income interval 0-100 = 15
Number of families in daily income interval 100-200 = 10

##### Correct Option: A

As per the given above bar graph , we can see
Number of families in daily income interval 0-100 = 15
Number of families in daily income interval 100-200 = 10
Required number of families = 15 + 10 = 25