## Introduction to Data Interpretation

#### Data Interpretation

Direction: Study the following Histogram and answer the following questions.

1. The total number of students involved in the data is

1. According to given bar graph , we have
Number of students who obtained marks 0-10 = 4
Number of students who obtained marks 10-20 = 6
Number of students who obtained marks 20-30 = 10
Number of students who obtained marks 30-40 = 8
Number of students who obtained marks 40-50 = 5

##### Correct Option: A

According to given bar graph , we have
Number of students who obtained marks 0-10 = 4
Number of students who obtained marks 10-20 = 6
Number of students who obtained marks 20-30 = 10
Number of students who obtained marks 30-40 = 8
Number of students who obtained marks 40-50 = 5
Required total number of students = 4 + 6 + 10 + 8 + 5 = 33

Direction: The Histogram shown the marks of 50 students in an examination. Examine the diagram and answer the questions. [Marks are given in integers only].

1. What percent of students did obtain marks above 60?

1. On the basis of given graph in question ,
Number of students obtaining above 60 marks = 35
Total number of students = 1 + 4 + 2 + 8 + 10 + 12 + 5 + 8 = 50

 ∴ Required percentage = Number of students obtaining above 60 marks × 100 Total number of students

##### Correct Option: C

On the basis of given graph in question ,
Number of students obtaining above 60 marks = 35
Total number of students = 1 + 4 + 2 + 8 + 10 + 12 + 5 + 8 = 50

 ∴ Required percentage = Number of students obtaining above 60 marks × 100 Total number of students

 Required percentage = 35 × 100 = 70% 50

1. How many students obtained more than 39 but below 60?

1. According to given bar graph , we have
Number of students who marks obtained range 40-50 = 2
Number of students who marks obtained range 50-60 = 8
Required number of students = 2 + 8 = 10

##### Correct Option: C

According to given bar graph , we have
Number of students who marks obtained range 40-50 = 2
Number of students who marks obtained range 50-60 = 8
Required number of students = 2 + 8 = 10
Therefore , the number of students who marks obtained more than 39 but below 60 is 10.

Direction: Study the bar-graph and answer the following questions.

1. In which wage group, is the amount of money needed to pay the monthly wages the highest?

1. According to given bar graph , we have
In wage group of 1400 – 1500 ,
Number of worker = 9

 ∴ Mean monthly wage = 1400 + 1500 = 1450 2

##### Correct Option: A

According to given bar graph , we have
In wage group of 1400 – 1500 ,
Number of worker = 9

 ∴ Mean monthly wage = 1400 + 1500 = 1450 2

Required Amount = 1450 × 9 = ₹ 13050

1. The total amount of money (approximately) needed to pay the monthly wages of all the workers is

1. As per the given bar graph , we have
Required amount = Number of worker × mean monthly wages
Required amount = 3 × 1050 + 8 × 1150 + 5 × 1250 + 4 × 1350 + 9 × 1450 + 8 × 1550 + 6 × 1650 + 7 × 1750
Required amount = 3150 + 9200 + 6250 + 5400 + 13050 + 12400 + 9900 + 12250

##### Correct Option: B

As per the given bar graph , we have
Required amount = Number of worker × mean monthly wages
Required amount = 3 × 1050 + 8 × 1150 + 5 × 1250 + 4 × 1350 + 9 × 1450 + 8 × 1550 + 6 × 1650 + 7 × 1750
Required amount = 3150 + 9200 + 6250 + 5400 + 13050 + 12400 + 9900 + 12250 = ₹ 71600
Hence , the total amount of money needed to pay the monthly wages of all the workers is ₹ 71600 .