## Class 6 Maths Chapter 4 Extra Questions Data Handling and Presentation

### Class 6 Maths Data Handling and Presentation Extra Questions

**NCERT Class 6 Maths Chapter 4 Data Handling and Presentation Extra Questions and Answers**

Question 1.

Study the following pictograph and answer the questions given below:

(i) Which class has the minimum number of students on rolls?

(ii) Which class has the maximum number of students on rolls?

(iii) How many students are on roll from Classes VI to X?

(iv) How many students are on roll in Class IX and Class X?

Solution:

Now, we can answer the given questions:

(i) Class X is having minimum number of students on rolls.

(ii) Class IX is having maximum number of students on rolls.

(iii) 195 students are on rolls from Classes VI to X.

(iv) 75 students are on rolls in Classes IX and X.

Question 2.

The measures of height of 40 students of a class are given below. Prepare a frequency table using tally marks.

Solution:

The required frequency table is given below:

Question 3.

The weights of 30 students of a class are given below. Prepare a frequency chart:

Solution:

The frequency table is:

Question 4.

Following table gives information about the number of various books in a library. Represent this information by a bar graph by taking an appropriate scale:

Literature | 5000 |

Science and Technology | 3500 |

Maths | 4000 |

English | 3000 |

Short Stories | 3500 |

Solution:

Let us take 1000 books = 1 cm

∴ 5000 books = 5 cm (Literature books)

3500 books = 3.5cm (Science and Technology books) 4000 books = 4 cm (Maths books)

3000 books = 3 cm (English books)

3500 books = 3.5 cm (Short Stories books)

Thus, the required bar graph is as follows:

Question 5.

Following bar graph shows the favourite colour of people.

Read the bar graph carefully and answer the following questions:

(i) Which colour is liked by most people?

(ii) Which is the least popular colour?

(iii) How many more people like orange colour than the people who like red colour?

Solution:

(i) Orange colour is liked by most people.

(ii) Blue colour is liked by least number of people. So, blue colour is the least popular colour.

(iii) Number of people who like orange colour = 70 Number of people who like red colour = 30

∴ Difference = 70 – 30 = 40

So, 40 more people like orange colour than red colour.

Question 6.

Draw the pictograph of the following data

Solution:

Pictograph based on the given table is shown below:

Question 7.

A blood donation camp was organized by society on Independence day with the tagline ‘A drop of blood many similes’. The blood groups of 50 donors of the society were recorded as under:

A, B, O, A, AB, O, A, O, B, A, O, B, A, AB, AB, O, A,

B, B, O, B, AB, O, A, B, O, B, A, A, AB, O, A, O, B, A,

O, A, B, O, AB, A, A, B, B, AB, B, AB, O, A, O

Arrange the information in a table using tally marks.

(a) Which blood group were collected maximum from donors?

(b) Which blood group were collected minimum from donors?

(c) How many blood units of blood group ‘O’ were collected?

Solution:

We can arrange the given information in a table using tally marks as follows:

It is clear from the table that:

(a) Blood group ‘A’ were collected maximum from the donors, i.e., 15 units.

(b) Blood group ‘AB’ were collected minimum from the donors, i.e., 8 units.

(c) 14 units of blood of blood group ‘O’ were collected from the donors.

Question 8.

Neha and Rohan, two classmates, decided to go to each student in the class and collect data about their favourite vegetables. They prepared a list according to their responses as follows:

(a) What would you do to get any conclusion from the collected data?

(b) What is the most favourite vegetable in their class?

(c) What is the least favourite vegetable in their class?

(d) How many students like potato?

(e) How many students like ladyfinger?

(f) How many students of the class were participated in the collection of data?

Solution:

(a) To get any conclusion we tabulate the collected data using tally marks as follows:

(b) Peas are liked by 8 students of the class which is maximum. So, peas are the most favourite vegetable among the students in the class.

(c) Tomato is liked by only 1 student of the class which is minimum. So, tomato is the least favourite vegetable among the students in the class.

(d) Only 3 students like potato in the class.

(e) 5 students like ladyfinger in the class.

(f) From the above table, 3 + 1 + 8 + 5 + 2 + 6 + 5 = 30 students participated in the collection of data.

Question 9.

Sabiya’s science teacher planned an educational tour for the students of her classes of dilferent sections and visited a science exhibition. The given table shows the number of students of different sections who went to the science exhibition with the class teacher.

Make a pictograph for above data.

Solution:

The pictograph for the given data is as follows:

Question 10.

Students of Class VI in a school were given a task to count the number of articles made of different materials in the school. The information collected by them is represented as follows:

Observe the pictograph and answer the following questions:

(a) Which material is used in the maximum number of articles?

(b) Which material is used in the minimum number of articles?

(c) Which material is used in exactly half the number of articles as those made up of metal?

(d) What is the total number of articles counted by the students?

Solution:

The number of articles of different materials is depicted (represented) by the following table:

(a) Metal is used in the maximum number of articles.

(b) Glass is used in the minimum number of articles.

(c) From the pictograph, we observe that 50 articles were made of metal whereas 25 articles were made of rubber, which is exactly half the number of articles as those made up of metal.

(d) Total number bf articles = Articles made of (wood + glass + metal + rubber + plastic)

= 30 + 20 + 50 + 25 + 35

= 160

Question 11.

The number of visitors visited to a war memorial on different days of the week is shown below:

(a) On which day was the number of visitors maximum? What was their total number?

(b) On which day was the number of visitors minimum?

(c) On which day was the number of visitors same as the number of visitors on two days taken together?

(d) What is the total number of visitors from Monday to Saturday?

(e) Can you make a bar graph using the data displayed in the given pictograph? If yes, then draw a bar graph using the data.

Solution:

(a) The number of visitors was maximum on Saturday and the number was 1250.

(b) The number of visitors was minimum on Monday and the number was 550.

(c) The number of visitors on Saturday was 1250 which was equal to the total number of visitors on Monday (550) and Tuesday (700)

(d) Number of visitors on Monday, Tuesday, Wednesday, Thursday, Friday and Saturday were 550, 700, 1000, 900, 900, and 1250 respectively.

Therefore, the total number of visitors from Monday to Saturday = 550 + 700 + 1000 + 900 + 900 + 1250 = 5300

(e) Yes, we can make a bar graph using the data displayed in the given pictograph. To draw a bar graph for the given data, we follow these steps.

(i) Firstly, draw a horizontal line and a vertical line.

(ii) Choose a suitable scale along the vertical line, say 1 unit length = 100 visitors.

(iii) On the horizontal line, write the days of the week,

(iv) Draw vertical bars on the respective day showing the number of visitors on particular days of the week.

Question 12.

Shweta had prepared a table representing the choice of vegetables his classmates liked to eat.

Draw a bar graph for the data given.

Solution:

Firstly, draw the horizontal line (x-axis) and the vertical line (y-axis).

On the horizontal line, write the vegetable names of respective bars at equal distance and on the vertical line, write the number of classmates, which represents the height of the bars.

Let us consider scale: 1 unit length =10 classmates

Question 13.

The number of visitors visited the mall during a week is given below. Observe the graph and answer the following

(a) How many visitors visited on Thursday?

(b) On which day, the number of visitors was maximum and minimum?

(c) Which is greater – total number of visitors on Thursday and Tuesday or total number of visitors on Saturday and Wednesday?

Solution:

(a) 600

(b) Maximum number of visitors = 1000 on Saturday.

Minimum number of visitors = 300 on Wednesday.

(c) Total number of visitors on Thursday and Tuesday = 600 + 400 = 1000

Total number of visitors on Saturday and Wednesday = 1000 + 300 = 1300

Thus, total number of visitors on Saturday and Wednesday is greater.