Class 6 Maths Chapter 4 Solutions: Data Handling and Presentation

Reviewed source answers

Solution sheet 1

Page No. 75 · Figure it Out

NCERT Class 6 Maths Chapter 4, question 1 — Source question

1. What would you do to find the most popular game among Naresh’s and Navya’s classmates?

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One of the ways could be to arrange and organize the given data in a table. Think of some other ways.

Source worked solution for Class 6 Chapter 4, question 1, part 1 — Source worked answer · part 1

Figure it Out · One of the ways could be to arrange and organize the given data in a table. Think of

NCERT Class 6 Maths Chapter 4, question 2 — Source question

2. What is the most popular game in their class?

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Hockey (frequency – 8).

Source worked solution for Class 6 Chapter 4, question 2, part 1 — Source worked answer · part 1

One of the ways could be to arrange and organize the given data in a table. Think of

NCERT Class 6 Maths Chapter 4, question 3 — Source question

4. Pari wants to respond to the questions given below. Put a tick () for the questions where she needs to carry out data collection and put a cross (⨉) for the questions where she doesn’t need to collect data. Discuss your answers in the classroom. a. What is the most popular TV show among her classmates?  b. When did India get independence?  c. How much water is getting wasted in her locality?  d. What is the capital of India?  

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a. ⨉ b.  c. ⨉ d. Page No. 76 Figure it Out

Source worked solution for Class 6 Chapter 4, question 3, part 1 — Source worked answer · part 1

Page No. 76 · Figure it Out

NCERT Class 6 Maths Chapter 4, question 4 — Source question

1. Complete the table to help Shri Nilesh to purchase the correct numbers of sweets: • How many students chose jalebi? • Barfi was chosen by students? • How many students chose gujiya? • Rasgulla was chosen by students? • How many students chose gulab jamun? Shri Nilesh requested one of the staff members to bring the sweets as given in the table. The above table helped him to purchase the correct numbers of sweets.

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• 6 • 3 • 13 • 7 • 9

Source worked solution for Class 6 Chapter 4, question 4, part 1 — Source worked answer · part 1

Source worked solution for Class 6 Chapter 4, question 4, part 2 — Source worked answer · part 2

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Solution sheet 2

Source solution page 35

NCERT Class 6 Maths Chapter 4, question 5 — Source question

2. Is the above table sufficient to distribute each type of sweet to the correct student? Explain. If it is not sufficient, what is the alternative?

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No. It shows only the number of students who chose a particular sweet, and not about the sweet chosen by a particular student. One of the alternatives could be, students should be categorized according to their choice of sweet. Section 4.1 Page No. 77 Figure it Out

Source worked solution for Class 6 Chapter 4, question 5, part 1 — Source worked answer · part 1

Page No. 77 · Figure it Out

NCERT Class 6 Maths Chapter 4, question 6 — Source question

1. Help her to figure out the following – • The largest shoe size in the class is _____ • The smallest shoe size in the class is _ • There are _ students who wear shoe size 5. • There are _____ students who wear shoe sizes larger than 4.

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• 7 • 3 • 10 • 15

Source worked solution for Class 6 Chapter 4, question 6, part 1 — Source worked answer · part 1

Source solution page 35

NCERT Class 6 Maths Chapter 4, question 7 — Source question

2. How did arranging the data in ascending order help to answer these questions?

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Ordered data is helpful because in this form, frequency of any data is easy to count and the given information can be used easily.

Source worked solution for Class 6 Chapter 4, question 7, part 1 — Source worked answer · part 1

Source worked solution for Class 6 Chapter 4, question 7, part 2 — Source worked answer · part 2

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Solution sheet 3

Source solution page 36

NCERT Class 6 Maths Chapter 4, question 8 — Source question

3. Are there other ways to arrange the data?

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Yes, the data can be arranged in a frequency table. Section 4.2 Page No. 83

Source worked solution for Class 6 Chapter 4, question 8, part 1 — Source worked answer · part 1

Section 4.2 · Page No. 83

NCERT Class 6 Maths Chapter 4, question 9 — Source question

What could be the problems faced in preparing such a pictograph, if the total number of students present in a class is 33 or 27?

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represents 10 students and represent 5 students. But to represent 3 or 7 students accurately by dividing these symbols is not possible. Figure it Out

Source worked solution for Class 6 Chapter 4, question 9, part 1 — Source worked answer · part 1

Page No. 83 · Figure it Out

NCERT Class 6 Maths Chapter 4, question 10 — Source question

1. The following pictograph shows the number of books borrowed by students, in a week, from the library of Middle School, Ginnori — a. On which day were the minimum number of books borrowed? b. What was the total number of books borrowed during the week? c. On which day were the maximum number of books borrowed? What may be the possible reason?

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a. Thursday b. 24 c. Saturday. One of the reasons could be that Sunday being a holiday students can read the borrowed books on Sunday.

Source worked solution for Class 6 Chapter 4, question 10, part 1 — Source worked answer · part 1

Source solution page 36

NCERT Class 6 Maths Chapter 4, question 11 — Source question

2. Magan Bhai sells kites at Jamnagar. Six shopkeepers from nearby villages come to purchase kites from him. The number of kites he sold to these six shopkeepers are given below — Prepare a pictograph using the symbol to represent 100 kites. Shopkeeper No. of Kites sold ( =100 Kits) Chaman Rani Rukhsana Jasmeet Jetha Lal Poonam Ben Answer the following questions: a. How many symbols represent the kites that Rani purchased? b. Who purchased the maximum number of kites? c. Who purchased more kites, Jasmeet or Cham...

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a. 3 symbols b. Poonam Ben c. Jasmeet d. Yes. Number. of kites purchased by Poonam Ben = 700 = 2 x 300 +100 Section 4.3 Page no. 86

Source worked solution for Class 6 Chapter 4, question 11, part 1 — Source worked answer · part 1

Source worked solution for Class 6 Chapter 4, question 11, part 2 — Source worked answer · part 2

Reviewed source answers

Solution sheet 4

Section 4.3 · Page no. 86

NCERT Class 6 Maths Chapter 4, question 12 — Source question

1. In Class 2, ___________ students were absent that day.

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5

Source worked solution for Class 6 Chapter 4, question 12, part 1 — Source worked answer · part 1

Section 4.3 · Page no. 86

NCERT Class 6 Maths Chapter 4, question 13 — Source question

2. In which class were the maximum number of students absent? ___________

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Class 8

Source worked solution for Class 6 Chapter 4, question 13, part 1 — Source worked answer · part 1

Section 4.3 · Page no. 86

NCERT Class 6 Maths Chapter 4, question 14 — Source question

3. Which class had full attendance that day? ___________

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Class 5 Page no. 88 Figure it Out

Source worked solution for Class 6 Chapter 4, question 14, part 1 — Source worked answer · part 1

Source worked solution for Class 6 Chapter 4, question 14, part 2 — Source worked answer · part 2

Reviewed source answers

Solution sheet 5

Page no. 88 · Figure it Out

NCERT Class 6 Maths Chapter 4, question 15 — Source question

1. How many total cars passed through the crossing between 6 am and noon?

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4450 cars Section 4.4 Page No. 93

Source worked solution for Class 6 Chapter 4, question 15, part 1 — Source worked answer · part 1

Section 4.4 · Page No. 93

NCERT Class 6 Maths Chapter 4, question 16 — Source question

On which item does Imran’s family spend the most and the second most?

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Imran’s family spends the most on food and the second most on house rent.

Source worked solution for Class 6 Chapter 4, question 16, part 1 — Source worked answer · part 1

Section 4.4 · Page No. 93

NCERT Class 6 Maths Chapter 4, question 17 — Source question

2. Is the cost of electricity about one-half the cost of education?

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Yes,

Source worked solution for Class 6 Chapter 4, question 17, part 1 — Source worked answer · part 1

Section 4.4 · Page No. 93

NCERT Class 6 Maths Chapter 4, question 18 — Source question

3. Is the cost of education less than one-fourth the cost of food?

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Yes. Cost of education = Rs. 800 and cost of food = Rs 3400 =4 x Rs 850 So, cost of education = less than one-fourth of cost of food. Figure it Out

Source worked solution for Class 6 Chapter 4, question 18, part 1 — Source worked answer · part 1

Figure it Out

NCERT Class 6 Maths Chapter 4, question 19 — Source question

1. Samantha visited a tea garden and collected data of the insects and critters she saw there. Here is the data she collected — Help her prepare a bar graph representing this data.

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Refer to the worked source solution below.

Source worked solution for Class 6 Chapter 4, question 19, part 1 — Source worked answer · part 1

Source worked solution for Class 6 Chapter 4, question 19, part 2 — Source worked answer · part 2

Reviewed source answers

Solution sheet 6

Figure it Out

NCERT Class 6 Maths Chapter 4, question 20 — Source 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 a 2-hour period. 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 sca...

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a. 24 b. 20 c. 1unit length = 4 tickets d. e. f. The bar for Seoni is correct but for Indore is incorrect.

Source worked solution for Class 6 Chapter 4, question 20, part 1 — Source worked answer · part 1

Source worked solution for Class 6 Chapter 4, question 20, part 2 — Source worked answer · part 2

Reviewed source answers

Solution sheet 7

Source solution page 40

NCERT Class 6 Maths Chapter 4, question 21 — Source question

3. Chinu 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.

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a. Means of Transport Number Bike 13 Car 6 Bicycle 8 Auto Rickshaw 8 Scooter 9 Bus 4 Bullock Cart 2 b. Bike c. To collect the data of various means of transport, one of the ways could be – (i) Prepare a table with 2 columns. First for means of transport and second for its frequency. (ii) List the various means of transport as they pass across the road. (iii) Frequency should be presented using tally marks.

Source worked solution for Class 6 Chapter 4, question 21, part 1 — Source worked answer · part 1

Source worked solution for Class 6 Chapter 4, question 21, part 2 — Source worked answer · part 2

Reviewed source answers

Solution sheet 8

Source solution page 41

NCERT Class 6 Maths Chapter 4, question 22 — Source 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 Bumrah 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 w...

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a. This table is giving the information about different number of wickets taken by Jaspreet Bumrah in different number of matches. b. The title of this table may be: Wickets Taken by Jaspreet Bumrah in Last 30 Matches.(think of more!) c. In this table, attention seeking point is that in 1 match 7 wickets were taken by Jaspreet Bumrah only.(think of more!) d. In 3 matches Bumrah has taken 4 wickets. e. No, Mayank can’t get the total number of wickets taken in this way. For example, 3 wickets per match were taken in 8 matches, which means total 24 wickets were taken. f. To know the total number of wickets, prepare a next column of total wickets .It will have products of corresponding numbers of the two given columns. Then the sum of the numbers in the 3rd column, will be the total number of wickets. Total number of wickets =90

Source worked solution for Class 6 Chapter 4, question 22, part 1 — Source worked answer · part 1

Jaspreet Bumrah only.(think of more!)

NCERT Class 6 Maths Chapter 4, question 23 — Source 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?

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a. Village D. b. Village C. c. 3. d. Yes

Source worked solution for Class 6 Chapter 4, question 23, part 1 — Source worked answer · part 1

Source solution page 41

NCERT Class 6 Maths Chapter 4, question 24 — Source question

7. The number of girl 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 Classs 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?

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a. Class 8. b. 6. c. If 2 more girls were admitted in class 2, the last half symbol will be converted into full symbol. d. 12.

Source worked solution for Class 6 Chapter 4, question 24, part 1 — Source worked answer · part 1

Source worked solution for Class 6 Chapter 4, question 24, part 2 — Source worked answer · part 2

Reviewed source answers

Solution sheet 9

Source solution page 42

NCERT Class 6 Maths Chapter 4, question 25 — Source 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 an 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 are 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:...

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Number of Mudhol Hounds ) = 6 dogs) Village Village A Village B Village C Village D Village E Village F a. Scale is = 6 dogs, as numbers of dogs are multiples of 6. b. 6 symbols. c. Yes, Kamini is right as the number of dogs in village B and village D together is 84 which is more than the number of dogs in the other 4 villages (72).

Source worked solution for Class 6 Chapter 4, question 25, part 1 — Source worked answer · part 1

Source worked solution for Class 6 Chapter 4, question 25, part 2 — Source worked answer · part 2

Reviewed source answers

Solution sheet 10

Source solution page 43

NCERT Class 6 Maths Chapter 4, question 26 — Source 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?

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Number of Students 0 5 10 15 20 25 30 35 40 45 50 Watching Listening to Painting Playing Reading Story Books TV music Preferred Activity Other than playing, reading story books is preferred by most students.

Source worked solution for Class 6 Chapter 4, question 26, part 1 — Source worked answer · part 1

Source solution page 43

NCERT Class 6 Maths Chapter 4, question 27 — Source 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 t...

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a. 70 b. 310 c. Saturday, Wednesday The variation in the number of saplings planted on different days may be because of rainy season or different number of students present on different days. (Discuss for other reasons.)

Source worked solution for Class 6 Chapter 4, question 27, part 1 — Source worked answer · part 1

Source worked solution for Class 6 Chapter 4, question 27, part 2 — Source worked answer · part 2

Reviewed source answers

Solution sheet 11

Source solution page 44

NCERT Class 6 Maths Chapter 4, question 28 — Source 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?

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There are mistakes in the bars of 2006, 2010, 2014, 2018. Section 4.5 Page no. 103 Figure it out

Source worked solution for Class 6 Chapter 4, question 28, part 1 — Source worked answer · part 1

Page no. 103 · Figure it out

NCERT Class 6 Maths Chapter 4, question 29 — Source question

1. If you wanted to visually represent the data of the heights of the tallest persons in each class in your school, would you use a graph with vertical bars or horizontal bars? Why?

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To present the data of the heights of the tallest persons in each class in a school, vertical bar graph is useful as heights of persons can be compared by heights of bars easily. (Although both bar graphs can be used.) (Think of more reasons!)

Source worked solution for Class 6 Chapter 4, question 29, part 1 — Source worked answer · part 1

Figure it out · (Although both bar graphs can be used.) (Think of more reasons!)

NCERT Class 6 Maths Chapter 4, question 30 — Source question

2. If you were making a table of the longest rivers on each continent and their lengths, would you prefer to use a bar graph with vertical bars or with horizontal bars? Why? Try finding out this information, and then make the corresponding table and bar graph! Which continents have the longest rivers?

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In this case, bar graph with horizontal bars is useful as length of a river is a horizontal feature, so lengths of rivers can be compared with lengths of horizontal bars easily. (Although both bar graphs can be used.) (can you think of any other reasons?)

Source worked solution for Class 6 Chapter 4, question 30, part 1 — Source worked answer · part 1

Data Handling and Presentation Class 6 Solutions

Match, attempt, then check

Solution sheet 1

1. What would you do to find the most popular game among Naresh’s and Navya’s classmates?

2. What is the most popular game in their class?

Solution sheet 2

2. Is the above table sufficient to distribute each type of sweet to the correct student? Explain. If it is not sufficient, what is the alternative?

1. Help her to figure out the following – • The largest shoe size in the class is _____ • The smallest shoe size in the class is _ • There are _ students who wear shoe size 5. • There are _____ students who wear shoe sizes larger than 4.

2. How did arranging the data in ascending order help to answer these questions?

Solution sheet 3

3. Are there other ways to arrange the data?

What could be the problems faced in preparing such a pictograph, if the total number of students present in a class is 33 or 27?

Solution sheet 4

1. In Class 2, ___________ students were absent that day.

2. In which class were the maximum number of students absent? ___________

3. Which class had full attendance that day? ___________

Solution sheet 5

1. How many total cars passed through the crossing between 6 am and noon?

On which item does Imran’s family spend the most and the second most?

2. Is the cost of electricity about one-half the cost of education?

3. Is the cost of education less than one-fourth the cost of food?

1. Samantha visited a tea garden and collected data of the insects and critters she saw there. Here is the data she collected — Help her prepare a bar graph representing this data.

Solution sheet 6

Solution sheet 7

Solution sheet 8

Solution sheet 9

Solution sheet 10

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 sheet 11

1. If you wanted to visually represent the data of the heights of the tallest persons in each class in your school, would you use a graph with vertical bars or horizontal bars? Why?

Match, attempt, then check

1. What would you do to find the most popular game among Naresh’s and Navya’s classmates?

2. What is the most popular game in their class?

2. Is the above table sufficient to distribute each type of sweet to the correct student? Explain. If it is not sufficient, what is the alternative?

1. Help her to figure out the following – • The largest shoe size in the class is _________ • The smallest shoe size in the class is _________ • There are _________ students who wear shoe size 5. • There are _________ students who wear shoe sizes larger than 4.

2. How did arranging the data in ascending order help to answer these questions?

3. Are there other ways to arrange the data?

What could be the problems faced in preparing such a pictograph, if the total number of students present in a class is 33 or 27?

1. In Class 2, ___________ students were absent that day.

2. In which class were the maximum number of students absent? ___________

3. Which class had full attendance that day? ___________

1. How many total cars passed through the crossing between 6 am and noon?

On which item does Imran’s family spend the most and the second most?

2. Is the cost of electricity about one-half the cost of education?

3. Is the cost of education less than one-fourth the cost of food?

1. Samantha visited a tea garden and collected data of the insects and critters she saw there. Here is the data she collected — Help her prepare a bar graph representing this data.

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?

1. If you wanted to visually represent the data of the heights of the tallest persons in each class in your school, would you use a graph with vertical bars or horizontal bars? Why?

1. Help her to figure out the following – • The largest shoe size in the class is _____ • The smallest shoe size in the class is _ • There are _ students who wear shoe size 5. • There are _____ students who wear shoe sizes larger than 4.