4 Data Handling and
Presentation
If you ask your classmates about their favourite colours, you will
get a list of colours. This list is an example of data. Similarly, if you
measure the weight of each student in your class, you would get a
collection of measures of weight—again data.
Any collection of facts, numbers, measures, observations or other
descriptions of things that convey information about those things is
called data.
We live in an age of information. We constantly see large amounts
of data presented to us in new and interesting ways. In this chapter,
we will explore some of the ways that data is presented, and how we
can use some of those ways to correctly display, interpret and make
inferences from such data!
4.1 Collecting and Organising Data
Navya and Naresh are discussing their favourite games.
Cricket is my I play cricket sometimes
favourite game! but hockey is the game I
like the most.
I think cricket is the I am not sure. How can we find
most popular game in the most popular game in our
our class. class?
Reprint 2025-26
, Data Handling and Presentation
To figure out the most popular game in
their class, what should Navya and Naresh
do? Can you help them?
Naresh and Navya decided to go to each student in the class and
ask what their favourite game is. Then they prepared a list.
Navya is showing the list:
Mehnoor – Kabaddi Pushkal – Satoliya (Pittu) Anaya – Kabaddi
Jubimon – Hockey Densy – Badminton Jivisha – Satoliya (Pittu)
Simran – Kabaddi Jivika – Satoliya (Pittu) Rajesh – Football
Nand – Satoliya (Pittu) Leela – Hockey Thara – Football
Ankita – Kabaddi Afshan – Hockey Soumya – Cricket
Imon – Hockey Keerat – Cricket Navjot – Hockey
Yuvraj – Cricket Gurpreet – Hockey Hemal – Satoliya (Pittu)
Rehana – Hockey Arsh – Kabaddi Debabrata – Football
Aarna – Badminton Bhavya – Cricket Ananya – Hockey
Kompal – Football Sarah – Kabaddi Hardik – Cricket
Tahira – Cricket
She says (happily), “I have collected the data. I can figure out the
most popular game now!”.
A few other children are looking at the list and wondering, “We
can’t yet see the most popular game. How can we get it from this list?”.
Figure it Out
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?
3. Try to find out the most popular game among your classmates.
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
Reprint 2025-26 75
, Ganita Prakash | Grade 6
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?
Shri Nilesh is a teacher. He decided to bring sweets to the class
to celebrate the new year. The sweets shop nearby has jalebi, gulab
jamun, gujiya, barfi, and rasgulla. He wanted to know the choices of
the children. He wrote the names of the sweets on the board and
asked each child to tell him their preference. He put a tally mark
‘|’ for each student and when the count reached 5, he put a line
through the previous four and marked it as ||||.
Sweets Tally Marks No. of Students
Jalebi |||| | 6
Gulab jamun |||| |||| 9
Gujiya |||| |||| ||| ____________
Barfi ||| ____________
Rasgulla |||| || ____________
Figure it Out
1. Complete the table to help Shri Nilesh to purchase the correct
numbers of sweets:
a. How many students chose jalebi?
b. Barfi was chosen by students?
c. How many students chose gujiya?
d. Rasgulla was chosen by students?
e. How many students chose gulab jamun?
76 Reprint 2025-26
, Data Handling and Presentation
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.
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?
To organise the data, we can write the name of each sweet in one
column and using tally signs, note the number of students who prefer
that sweet. The numbers 6, 9, … are the frequencies of the sweet
preferences for jalebi, gulab jamun … respectively.
Sushri Sandhya asked her students about the sizes of the shoes
they wear. She noted the data on the board.
4 5 3 4 3 4 5 5 4
5 5 4 5 6 4 3 5 6
4 6 4 5 7 5 6 4 5
She then arranged the shoe sizes of the students in ascending order —
3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7
Figure it Out
1. Help her to figure out the following:
a. The largest shoe size in the class is _________.
b. The smallest shoe size in the class is _________.
c. There are _________ students who wear shoe size 5.
d. There are _________ students who wear shoe sizes larger
than 4.
2. How did arranging the data in ascending order help to
Math
answer these questions? Talk
3. Are there other ways to arrange the data?
Reprint 2025-26 77
Presentation
If you ask your classmates about their favourite colours, you will
get a list of colours. This list is an example of data. Similarly, if you
measure the weight of each student in your class, you would get a
collection of measures of weight—again data.
Any collection of facts, numbers, measures, observations or other
descriptions of things that convey information about those things is
called data.
We live in an age of information. We constantly see large amounts
of data presented to us in new and interesting ways. In this chapter,
we will explore some of the ways that data is presented, and how we
can use some of those ways to correctly display, interpret and make
inferences from such data!
4.1 Collecting and Organising Data
Navya and Naresh are discussing their favourite games.
Cricket is my I play cricket sometimes
favourite game! but hockey is the game I
like the most.
I think cricket is the I am not sure. How can we find
most popular game in the most popular game in our
our class. class?
Reprint 2025-26
, Data Handling and Presentation
To figure out the most popular game in
their class, what should Navya and Naresh
do? Can you help them?
Naresh and Navya decided to go to each student in the class and
ask what their favourite game is. Then they prepared a list.
Navya is showing the list:
Mehnoor – Kabaddi Pushkal – Satoliya (Pittu) Anaya – Kabaddi
Jubimon – Hockey Densy – Badminton Jivisha – Satoliya (Pittu)
Simran – Kabaddi Jivika – Satoliya (Pittu) Rajesh – Football
Nand – Satoliya (Pittu) Leela – Hockey Thara – Football
Ankita – Kabaddi Afshan – Hockey Soumya – Cricket
Imon – Hockey Keerat – Cricket Navjot – Hockey
Yuvraj – Cricket Gurpreet – Hockey Hemal – Satoliya (Pittu)
Rehana – Hockey Arsh – Kabaddi Debabrata – Football
Aarna – Badminton Bhavya – Cricket Ananya – Hockey
Kompal – Football Sarah – Kabaddi Hardik – Cricket
Tahira – Cricket
She says (happily), “I have collected the data. I can figure out the
most popular game now!”.
A few other children are looking at the list and wondering, “We
can’t yet see the most popular game. How can we get it from this list?”.
Figure it Out
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?
3. Try to find out the most popular game among your classmates.
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
Reprint 2025-26 75
, Ganita Prakash | Grade 6
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?
Shri Nilesh is a teacher. He decided to bring sweets to the class
to celebrate the new year. The sweets shop nearby has jalebi, gulab
jamun, gujiya, barfi, and rasgulla. He wanted to know the choices of
the children. He wrote the names of the sweets on the board and
asked each child to tell him their preference. He put a tally mark
‘|’ for each student and when the count reached 5, he put a line
through the previous four and marked it as ||||.
Sweets Tally Marks No. of Students
Jalebi |||| | 6
Gulab jamun |||| |||| 9
Gujiya |||| |||| ||| ____________
Barfi ||| ____________
Rasgulla |||| || ____________
Figure it Out
1. Complete the table to help Shri Nilesh to purchase the correct
numbers of sweets:
a. How many students chose jalebi?
b. Barfi was chosen by students?
c. How many students chose gujiya?
d. Rasgulla was chosen by students?
e. How many students chose gulab jamun?
76 Reprint 2025-26
, Data Handling and Presentation
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.
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?
To organise the data, we can write the name of each sweet in one
column and using tally signs, note the number of students who prefer
that sweet. The numbers 6, 9, … are the frequencies of the sweet
preferences for jalebi, gulab jamun … respectively.
Sushri Sandhya asked her students about the sizes of the shoes
they wear. She noted the data on the board.
4 5 3 4 3 4 5 5 4
5 5 4 5 6 4 3 5 6
4 6 4 5 7 5 6 4 5
She then arranged the shoe sizes of the students in ascending order —
3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7
Figure it Out
1. Help her to figure out the following:
a. The largest shoe size in the class is _________.
b. The smallest shoe size in the class is _________.
c. There are _________ students who wear shoe size 5.
d. There are _________ students who wear shoe sizes larger
than 4.
2. How did arranging the data in ascending order help to
Math
answer these questions? Talk
3. Are there other ways to arrange the data?
Reprint 2025-26 77
