CBSE Important Questions Class 6 Maths Chapter 4 – Data Handling and Presentation

Class 6 Maths Chapter 4 Data Handling and Presentation is part of the new NCERT textbook Ganita Prakash. It teaches students how to collect data, arrange it in a table and show it in a picture form so that it becomes easy to read. Students learn to draw and read bar graphs, choose a suitable scale, compare the heights of bars and find missing values from the data given.

These CBSE important questions for Class 6 Maths Chapter 4 cover common factors and co-prime numbers, reading bar graphs of fruit sales, factory production, mountain heights and vegetables in a shop, finding a missing bar value, working out values from a given scale, and the correct way to draw a bar graph. Every question has a clear step-by-step answer in simple English, so students can practise on their own, parents can check the working, and teachers can use them for class tests. A free printable PDF of these important questions is also available on this page.

CBSE Important Questions Class 6 Maths Chapter 4 – Data Handling and Presentation

Data Handling and Presentation (New NCERT)
Medium
Q.
Take a blank piece of paper and paste any small news item from a newspaper. Each student may use a different article. Now, prepare a table on the piece of paper as given below. Count the number of each of the letters 'c', 'e', 'i', 'r', and 'x' in the words of the news article, and fill in the table.
Letter
c
e
i
r
x
Any other letter of your choice:
Number of times found in the news item






(a) The letter found the most number of times is ______________
(b) The letter found the least number of times is ______________
(c) List the five letters 'c', 'e',' i ', 'r', 'x' in ascending order of frequency. Now, compare the order of your list with that of your classmates. Is your order the same or nearly the same as theirs? (Almost everyone is likely to get the order ' x, c, r, i, e'.) Why do you think this is the case?
(d) Write the process you followed to complete this task.
(e) Discuss with your friends the processes they followed.
(f) If you do this task with another news item, what process would you follow?
Data Handling and Presentation (New NCERT)
Medium
Q.
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.
Data Handling and Presentation (New NCERT)
Medium
Q.
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?
Data Handling and Presentation (New NCERT)
Medium
Q.
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 4year 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?
Year
Number of Tigers
(approx.)
2006
1400
2010
1700
2014
2200
2018
3000
2022
3700
Data Handling and Presentation (New NCERT)
Medium
Q.
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?
Data Handling and Presentation (New NCERT)
Medium
Q.
A survey of 120 school students was conducted to find out which activity they preferred to do in their free time.
Preferred Activity
Number of Students
Playing
45
Reading story books
30
Watching TV
20
Listening to music
10
Painting
15
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?
Data Handling and Presentation (New NCERT)
Medium
Q.
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:
(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.
Data Handling and Presentation (New NCERT)
Medium
Q.
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?
Data Handling and Presentation (New NCERT)
Medium
Q.
Faiz prepared a frequency distribution table of data on the number of wickets taken by Jaspreet Bumrah in his last 30 matches:
Wickets Taken
Number of Matches
0
2
1
4
2
6
3
8
4
3
5
5
6
1
7
1
(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 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?
Data Handling and Presentation (New NCERT)
Medium
Q.
Chinu listed the various means of transport that passed across the road in front of his house from 9 am to 10 am:
bike
car
bike
bus
bike
bike
bike
auto
bicycle
bullock cart
bicycle
auto
car
scooter
car
auto
bicycle
bike
car
auto
bike
scooter
bike
car
bicycle
scooter
bicycle
scooter
bike
bus
auto
auto
bike
bicycle
bus
bike
bicycle
scooter
bus
scooter
auto
bike
scooter
bicycle
bike
bullock cart
auto
scooter
car
scooter




(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
Data Handling and Presentation (New NCERT)
Medium
Q.
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?
Data Handling and Presentation (New NCERT)
Medium
Q.
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.
City
Vidisha
Jabalpur
Seoni
Indore
Sagar
Number of tickets
24
20
16
28
16
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 Sag5r.
(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 bafts).
Data Handling and Presentation (New NCERT)
Medium
Q.
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. 
Data Handling and Presentation (New NCERT)
Medium
Q.
Is the cost of education less than one-fourth the cost of food? 
Data Handling and Presentation (New NCERT)
Medium
Q.
On which item does Imran's family spend the most and the second most? 
Data Handling and Presentation (New NCERT)
Medium
Q.
Why do you think the traffic was lesser and lesser each hour after 8am all the way until noon? 
Data Handling and Presentation (New NCERT)
Medium
Q.
Why do you think the traffic was the heaviest between 7 am and 8 am?
Data Handling and Presentation (New NCERT)
Medium
Q.
Why do you think so little traffic occurred during the hour of 6-7 am, as compared to the other hours from 7 am-noon?
Data Handling and Presentation (New NCERT)
Medium
Q.
How many total cars passed through the crossing between 6 am and noon? 
Data Handling and Presentation (New NCERT)
Medium
Q.
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?

CBSE Important Questions Class 6 Maths Chapter 4 – Data Handling and Presentation

Q1. Find the common factors of:
(a) 33 and 11
(b) 19, 36 and 8

Answer: (a) Factors of 33 are 1, 3, 11 and 33.
Factors of 11 are 1 and 11.
Common factors are 1 and 11.
(b) Factors of 19 are 1 and 19.
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18 and 36.
Factors of 8 are 1, 2, 4 and 8.
The only common factor is 1.

Q2. In a task, a person will get fries on doing 13 squats and a burger on doing 20 squats, and will get both on doing squats that are multiples of 13 but not less than or equal to 13. What is the minimum number of squats a person has to do to win both?

Answer: Multiples of 13 are 13, 26, 39 and so on.
The person gets both prizes only on a multiple of 13 that is more than 13.
The next multiple after 13 is 26.
So, the minimum number of squats is 26.

Q3. Are 23 and 42 co-primes?

Answer: Two numbers are co-prime if their only common factor is 1.
The factors of 23 are 1 and 23 (23 is a prime number).
The factors of 42 are 1, 2, 3, 6, 7, 14, 21 and 42.
The only common factor of 23 and 42 is 1.
Therefore, 23 and 42 are co-prime.

Q4. A fruit seller recorded the number of boxes sold for five fruits in a week. However, due to a data entry issue, the sales figure for Mangoes is missing. The total number of fruit boxes sold across all five fruits was 750. The recorded sales figures are shown in the bar graph below.
(a) Determine the number of boxes of Mangoes sold.
(b) Update the bar graph with the correct value for Mangoes.

Bar graph of fruit boxes sold with the Mango bar missing

Answer: From the bar graph: Banana = 140, Apple = 230, Orange = 170, Grapes = 60.
Sum of the known sales = 140 + 230 + 170 + 60 = 500
Number of Mango boxes = Total sales − Sum of known sales
= 750 − 500 = 250
So, 250 boxes of Mangoes were sold. The updated bar graph, with a Mango bar of height 250, is shown below.

Updated bar graph showing 250 boxes of Mangoes

Q5. The table below shows the production (in thousand units) of a factory for the years 2019 to 2023. Using the given data, draw a bar graph showing production in each year. Take the years on the X-axis and production on the Y-axis. Use a suitable scale.

Year Production (in thousand units)
2019 17
2020 29
2021 12
2022 3
2023 18

Answer: Steps to draw the bar graph:
1. Draw the X-axis (horizontal) and the Y-axis (vertical).
2. Label the X-axis as 'Year' and the Y-axis as 'Production (in thousands)'.
3. Choose a scale. Since the values go from 3 to 29, take 1 small division = 1 thousand units, with bigger lines every 5 units.
4. Mark the years 2019, 2020, 2021, 2022 and 2023 at equal distances on the X-axis.
5. Draw a bar of equal width for each year, up to its production value, leaving equal gaps between the bars.
The bar graph is shown below.

Bar graph of factory production from 2019 to 2023

Q6. In a bar graph, the scale is 1 unit = 25 students. If one of the bars is 3.4 units tall, how many students does it represent?
(a) 75
(b) 85
(c) 90
(d) 95

Answer: (b) 85
1 unit = 25 students and the bar height = 3.4 units.
Number of students = 25 × 3.4 = 85

Q7. The given graph shows the heights of selected mountains. Which two mountains together have a combined height equal to Mountain F?
(a) Mountain B and Mountain C
(b) Mountain D and Mountain E
(c) Mountain A and Mountain C
(d) Mountain A and Mountain D

Bar graph showing the heights of six mountains

Answer: (d) Mountain A and Mountain D
From the bar graph: A = 2500 m, B = 3000 m, C = 2000 m, D = 4500 m, E = 5500 m and F = 6000 m.
B + C = 3000 + 2000 = 5000 m
D + E = 4500 + 5500 = 10,000 m
A + C = 2500 + 2000 = 4500 m
A + D = 2500 + 4500 = 6000 m, which is equal to the height of Mountain F.

Q8. The given bar graph shows the number of different vegetables kept in a vegetable shop. The total number of vegetables and the vegetable in the maximum amount in the shop respectively are:
(a) 155 and Carrots
(b) 155 and Potatoes
(c) 150 and Potatoes
(d) 145 and Cabbages

Bar graph of the number of vegetables in a shop

Answer: (b) 155 and Potatoes
From the bar graph: Carrots = 45, Potatoes = 60, Cabbages = 30 and Spinach = 20.
Total vegetables = 45 + 60 + 30 + 20 = 155
The tallest bar is for Potatoes (60), so Potatoes are in the maximum amount.

Q9. A bar graph shows data of people in the metro on weekdays. If the height of the bar for Tuesday is less than that of Monday but more than Wednesday, what can be said?
(a) The maximum number of people in the metro were on Tuesday.
(b) The minimum number of people in the metro were on Tuesday.
(c) The number of people in the metro on Tuesday were more than Wednesday but less than Monday.
(d) The maximum number of people in the metro were on Wednesday.

Answer: (c) The number of people in the metro on Tuesday were more than Wednesday but less than Monday.
A taller bar means a bigger number. Tuesday's bar is shorter than Monday's, so Tuesday had fewer people than Monday. Tuesday's bar is taller than Wednesday's, so Tuesday had more people than Wednesday.

Q10. What is the first step in drawing a bar graph?
(a) Drawing the bars
(b) Choosing a scale
(c) Collecting and organizing data
(d) Coloring the bars

Answer: (c) Collecting and organizing data
Before we can draw a bar graph, we must first collect the data and arrange it in a table. Only then can we choose a scale and draw the bars.

Q11. In a properly drawn bar graph, the height of the bar shows the value, and the width should be:
(a) Thicker for higher values
(b) Thinner for smaller values
(c) Equal for all bars
(d) Chosen according to the data

Answer: (c) Equal for all bars
In a bar graph only the height stands for the value. The width does not show any data, so all the bars must have the same width, with equal gaps between them.

Q12. A bar graph shows the number of books read by five students in a month. The bars for Aman and Neha are of equal height. What can you conclude from this?
(a) Aman and Neha read the same book.
(b) Aman and Neha read the same number of books.
(c) Aman and Neha like reading.
(d) Aman and Neha are in the same class.

Answer: (b) Aman and Neha read the same number of books.
Bars of equal height stand for equal values. Here the value is the number of books, so both read the same number of books. The graph tells us nothing about which books they read or which class they are in.

Related Study Material on Extramarks

Q.1 Which one of the following is not a polygon?

(a) Triangle

(b) Pentagon

(c) Quadrilateral

(d) Circle

Marks:1

Ans

A circle is a closed curve but not a polygon.

Q.2 The number of chords in the given figure is:

(a) 3

(b) 2

(c) 7

(d) 5

Marks:1

Ans

(a) 3

There are three chords in the given circle.

PQ, AB and CD are three chords.

Q.3 How many diagonals are there in a regular octagon?

(a) 14

(b) 12

(c) 16

(d) 20

Marks:1

Ans

There are 20 diagonals in a regular octagon.

Q.4 How many lines can be drawn through a given point?

Marks:1

Ans

Infinite lines can be drawn through a given point.

Q.5 How many line segments are there in the figure?

(a) 5

(b) 6

(c) 3

(d) 4

Marks:1

Ans

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Chapter 1 - Knowing Our Numbers

Chapter 2 - Whole Numbers

Chapter 3 - Playing with Numbers

Chapter 5 - Understanding Elementary Shapes

Chapter 6 - Integers

Chapter 7 - Fractions

Chapter 8 - Decimals

Chapter 9 - Data Handling

Chapter 10 - Mensuration

Chapter 11 - Algebra

Chapter 12 - Ratio and Proportion

Chapter 13 - Symmetry

Chapter 14 - Practical Geometry

FAQs (Frequently Asked Questions)

Data Handling and Presentation is about collecting, organising, representing and reading information. Students learn tally marks, frequency tables, pictographs and bar graphs.

A pictograph uses pictures or symbols to show data. A bar graph uses bars of equal width and equal spacing. Both help compare data.

Tally marks help count observations quickly. They are grouped in sets of five, so the total can be counted easily. They are useful while preparing frequency tables.

Scale tells what each unit length represents in a bar graph. A suitable scale makes the graph clear, accurate and easy to read.

Yes, a graph or infographic can be misleading if the scale, width, size or picture gives a wrong impression. A good visual presentation must show the data accurately.