NCERT Solutions for Class 6 Maths Chapter 4 - Exercise 4.4 Data Handling and Presentation

Exercise 4.4

Figure it Out (Page No. 93-99)

Question 1. Samantha visited a tea garden and collected data on the insects and critters she saw there. Here is the data she collected-

Help her prepare a bar graph representing this data.
Solution:

Question 2. Pooja collected data on the number of tickets sold at the Bhopal railway station for a few different cities of Madhya Pradesh over 2 hours.

She used this data and prepared a bar graph on the board to discuss the data with her students, but someone erased a portion of the graph.

(a) Write the number of tickets sold for Vidisha above the bar.
(b) Write the number of tickets sold for Jabalpur above the bar.
(c) The bar for Vidisha is 6 unit lengths and the bar for Jabalpur is 5 unit lengths. What is the scale for this graph?
(d) Draw the correct bar for Sagar.
(e) Add the scale of the bar graph placing the correct numbers on the vertical axis.
(f) Are the bars for Seoni and Indore correct in this graph? If not, draw the correct bar(s).
Solution:
(a) 24 tickets
(b) 20 tickets
(c) 1 unit length = 4 tickets
(d)

(e)

(f) No. The current graph is shown in (d) and (e) above.

Question 3. China listed the various means of transport that passed across the road in front of his house from 9 am to 10 am:

(a) Prepare a frequency distribution table for the data.
(b) Which means of transport was used the most?
(c) If you were there to collect this data, how could you do it? Write the steps or process.
Solution:
(a)

(b) Bike
(c) Only like this

Question 4. Roll a die 30 times and record the number you obtain each time. Prepare a frequency distribution table using tally marks. Find the number that appeared:
(a) The minimum number of times.
(b) The maximum number of times.
(c) Find numbers that appeared an equal number of times.
Solution:
Let the outcomes of 30 times roll of a die be
6, 2, 3, 5, 6, 4, 1, 1, 2, 5
3, 4, 1, 1, 3, 5, 2, 2, 1, 1
6, 2, 3, 5, 1, 2, 2, 3, 4, 2

(a) 4 and 6
(b) 2
(c) 4 and 6

Question 5. Faiz prepared a frequency distribution table of data on the number of wickets taken by Jaspreet Bumrah in his last 30 matches:

(a) What information is this table giving?
(b) What may be the title of this table?
(c) What caught your attention in this table?
(d) In how many matches has Burnrah taken 4 wickets?
(e) Mayank says “If we want to know the total number of wickets he has taken in his last 30 matches, we have to add the numbers 0, 1, 2, 3,……..up to 7.” Can Mayank get the total number of wickets taken in this way? Why?
(f) How would you correctly figure out the total number of wickets taken by Bumrah in his last 30 matches, using this table?
Solution:
(a) The information in the table gives an overview of the number of matches in which he took wickets from 0 to 7.
(b) Frequency distribution table indicating the bowling performance of Jaspreet Bumrah.
(c) Bumrah has taken 3 or more wickets in most of the matches.
(d) Three matches
(e) No
(f) He can get the correct total, by adding the following points.
(2 × 0) + (4 × 1) + (6 × 2) + (8 × 3) + (3 × 4) + (5 × 5) + (1 × 6) + (1 × 7)
= 0 + 4 + 12 + 24 + 12 + 25 + 6 + 7
= 90

Question 6. The following pictograph shows the number of tractors in five different villages.

Observe the pictograph and answer the following questions-
(a) Which village has the smallest number of tractors?
(b) Which village has the most tractors?
(c) How many more tractors does Village C have than Village B?
(d) Komal says, “Village D has half the number of tractors as Village E.” Is she right?
Solution:
(a) Village D
(b) Village C
(c) 3 more tractors
(d) Yes.

Question 7. The number of female students in each class of a school is depicted by a pictograph:

Observe this pictograph and answer the following questions:
(a) Which class has the least number of girl students?
(b) What is the difference between the number of girls in Classes 5 and 6?
(c) If 2 more girls were admitted in Class 2, how would the graph change?
(d) How many girls are there in Class 7?
Solution:
(a) Class 8
(b) Number of Girls in class 6 = 4 × 4 = 16
Number of Girls in class 5 = 4 × 3.5 = 14
Hence difference = 16 – 14 = 2
(c) Five full symbols of a girl
(d) 3 × 4 = 12 girls.

Question 8. Mudhol Hounds (a type of breed of Indian dogs) are largely found in North Karnataka’s Bagalkote and Vijaypura districts. The government took the initiative to protect this breed by providing support to those who adopted these dogs. Due to this initiative, the number of these dogs increased. The number of Mudhol dogs in six villages of Karnataka is as follows-
Village A: 18, Village B: 36, Village C: 12, Village D: 48, Village E: 18, Village F: 24
Prepare a pictograph and answer the following questions:
(a) What will be a useful scale or key to draw this pictograph?
(b) How many symbols will you use to represent the dogs in Village B?
(c) Kamini said that the number of dogs in Village B and Village D together will be more than the number of dogs in the other 4 villages. Is she right? Give reasons for your response.
Solution:

(a) 1 * = 6 dogs will be a useful scale or key to draw this pictograph.
(b) 6 symbols.
(c) Yes, because Total no. of dogs in villages B and D = 6 + 8 = 14 dogs = 14 × 6 = 84 dogs
Total no. of dogs in remaining 4 villages = 3 + 2 + 3 + 4 = 12 dogs = 12 × 6 = 72 dogs

Question 9. A survey of 120 school students was conducted to find out which activity they preferred to do in their free time.

Draw a bar graph to illustrate the above data taking the scale of 1 unit length = 5 students. Which activity is preferred by most students other than playing?
Solution:

Question 10. Students and teachers of a primary school decided to plant tree saplings in the school campus and in the surrounding village during the first week of July. Details of the saplings they planted are as follows- 

(a) The total number of saplings planted on Wednesday and Thursday is ____________
(b) The total number of saplings planted during the whole week is ____________
(c) The greatest number of saplings were planted on ____________, and the least number of saplings were planted on ____________.
Why do you think that is the case? Why were more saplings planted on certain days of the week and less on others? Can you think of possible explanations or reasons? How could you try and figure out whether your explanations are correct?
Solution:
(a) 30 + 40 = 70 saplings
(b) 52 + 40 + 30 + 40 + 50 + 60 + 40 = 312 saplings
(c) Saturday, Wednesday.

Question 11. The number of tigers in India went down drastically between 1900 and 1970. Project Tiger was launched in 1973 to track and protect tigers in India. Starting in 2006, the exact number of tigers in India was tracked. Shagufta and Divya looked up information about the number of tigers in India between 2006 and 2022 in 4-year intervals. They prepared a frequency table for this data and a bar graph to present this data, but there are a few mistakes in the graph. Can you find those mistakes and fix them?

Solution:
Yes, there are a few mistakes in the graph.

1. No. of tigers in 2006 was 1400 but shown less in the graph.

2. No. of tigers in 2014 was 2200 but shown more in the graph.

3. No. of tigers in 2018 was 3000 but shown less in the graph.

Benefits of NCERT Solutions for Class 6 Maths Chapter 4 Exercise 4.4 Data Handling and Presentation

• This exercise helps students learn the step-by-step process of drawing accurate bar graphs, enhancing their ability to visually represent data.

• By practicing this exercise, students develop the skills to organize raw data systematically, which is a crucial part of data handling.

• Drawing bar graphs is a practical skill used in various subjects and real-life scenarios, making this exercise important for everyday applications.

• Vedantu’s NCERT Solutions provide detailed instructions for drawing bar graphs, making it easier for students to understand and apply these concepts, leading to better exam preparation.

Class 6 Maths Chapter 4: Exercises Breakdown

Important Study Material Links for Class 6 Maths Chapter 4 - Data Handling and Presentation

Conclusion:

Class 6 Maths Chapter 4 Exercise 4.4 - Drawing a Bar Graph teaches students how to effectively represent data using bar graphs, an essential skill in data handling. This exercise focuses on the practical aspect of creating bar graphs, helping students organize and present data visually in a clear and accurate manner. Vedantu’s Revision Notes for this exercise offer easy-to-follow explanations and step-by-step instructions, ensuring students master the process of drawing bar graphs. By utilizing these notes, students can strengthen their understanding of data representation, which is crucial for both exams and real-life applications.

Chapterwise NCERT Solutions for Class 6 Maths

Related Important Links for Class 6  Maths 

Along with this, students can also download additional study materials provided by Vedantu for Maths Class 6-