NCERT Solutions Class 4 Maths Chapter 14 Data Handling

F R E E S T U D Y M AT E R I A L F O R E V E R Y S T U D E N T

C L A S S 4 · M AT H S

NCERT Solutions

Chapter 14: Data Handling

NCERT Textbook — Math Mela

BOOK PAGES SECTIONS QUESTIONS MEDIUM

203 – 208 6 25 English

Solutions, notes, sample papers & more at 51 pages

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

CLASS 4 · MATHS · MATH MELA

NCERT Solutions — Chapter 14: Data Handling
This chapter shows you how to collect, record and read information. Rohan and Anjali ask the class about
favourite subjects, count golas at lunch break, and draw a pictograph of what sold at the Bal Mela.

TEXTBOOK BOOK PAGES

Math Mela (Class 4) 203 – 208

SECTIONS QUESTIONS

6 25

MEDIUM

English

In-text Questions — Page 203

Page 1 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Look at the questions asked by Rohan and Anjali

Q1 Tick the question that is the most appropriate for finding the ‘most liked subject’?
Why do you think so? Discuss with your friends and teacher.

ANSWER

Rohan asked

Which subjects do you like?

Mathematics, Languages, Arts

Arts, Languages

Languages, The World Around Us, P.E.

Anjali asked

Which subject do you like the most?

Mathematics

Languages

The World Around Us

The two questions the children asked, with a few of the answers they got.

Tick Anjali’s question — “Which subject do you like the most?”
Look at what each question brings back.

Rohan’s question lets a child name many subjects. One child said three subjects, another
said two.
Anjali’s question lets a child name only one subject — the favourite one.

45 children, Rohan’s way → more than 45 answers

45 children, Anjali’s way → exactly 45 answers

Page 2 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Why it happens: To find the most liked subject we must count one vote from each
child. Only Anjali’s question gives one vote per child, so the counts can be compared
fairly.

Tip: Before you collect data, always check that your question has only one answer.
That is the first step of data handling.

In-text Questions — Page 204

Page 3 of 51

as e
Class 4 Maths Chapter 14 Data Handling
a g l AglaSem · NCERT Solutions

The children’s responses
co m
e m.
m l as
Q1
.co
The number of children who like Mathematics the most is ________ .
m a g
l a se
a g

. com ag
T, A, P.E., A, M,
a s emP.E.,
a gl
L, L, P.E., A, T, M, A,
co m
P.E., P.E., T, P.E., M, L,
em.
com P.E., P.E., A, M, A, L, g l as
m . a
as e
a g l
P.E., M, T, A, T, M, M,
a s
P.E., A, L, M, L, . com agl
a s em
gl L, M,
P.E., A, aT,
M, T, L m
. co
e m
m l as
m .co a g
l a se The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.

ag
se m
com g l a
ANSWER
m. a
ase
agl

co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a

co m
m .
m ase
.co


a g l Page 4 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

T, A, P.E., A, M, P.E.,
L, L, P.E., A, T, M, A,
P.E., P.E., T, P.E., M, L,
P.E., P.E., A, M, A, L,
P.E., M, T, A, T, M, M,
P.E., A, L, M, L,
P.E., A, T, L, M,
M, T, L

The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.

Go along the list line by line and make one mark every time you see M.
M appears in line 1 once, line 2 once, line 3 once, line 4 once, line 5 three times, line 6 once, line
7 once and line 8 once.

Marks for M: | | | | | |||||

Count of marks = 10

So the number of children who like Mathematics the most is 10.

Why it happens: Each child gave exactly one answer, so counting how many times M
was written tells us how many children chose it.

Page 5 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q2 The number of children who like Language the most is ________ .

T, A, P.E., A, M, P.E.,
L, L, P.E., A, T, M, A,
P.E., P.E., T, P.E., M, L,
P.E., P.E., A, M, A, L,
P.E., M, T, A, T, M, M,
P.E., A, L, M, L,
P.E., A, T, L, M,
M, T, L

The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.

ANSWER

Page 6 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

T, A, P.E., A, M, P.E.,
L, L, P.E., A, T, M, A,
P.E., P.E., T, P.E., M, L,
P.E., P.E., A, M, A, L,
P.E., M, T, A, T, M, M,
P.E., A, L, M, L,
P.E., A, T, L, M,
M, T, L

The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.

Go along the list line by line and make one mark every time you see L.
L appears twice in line 2, once in line 3, once in line 4, twice in line 6, once in line 7 and once in
line 8.

Marks for L: | | | | | |||

Count of marks = 8

So the number of children who like Language the most is 8.

Why it happens: Each child gave exactly one answer, so counting how many times L
was written tells us how many children chose it.

Page 7 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q3 The number of children who like The World Around Us the most is ________ .

T, A, P.E., A, M, P.E.,
L, L, P.E., A, T, M, A,
P.E., P.E., T, P.E., M, L,
P.E., P.E., A, M, A, L,
P.E., M, T, A, T, M, M,
P.E., A, L, M, L,
P.E., A, T, L, M,
M, T, L

The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.

ANSWER

Page 8 of 51

as e
Class 4 Maths Chapter 14 Data Handling
a g l AglaSem · NCERT Solutions

co m
e m.
m l as
.co a g
a s em
agl T, A, P.E., A, M, P.E.,
L, L, P.E., A, T, M, A,om
e m .c ag
s
gla M, L,
P.E., P.E., T, P.E.,
a
P.E., P.E., A, M, A, L, m
co
em.
m
P.E., M, T, A, T, M, M, l as
m .co a g
l a se P.E., A, L, M, L,
a g
P.E., A, T, L, M, m a s
m .co agl
M, T, L l a se
a g

co m
m .
m as e
.co l
The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.

a g
a s emalong the list line by line and make one mark every time you see T.
agl Go

m
T appears once in line 1, once in line 2, once in line 3, twice in line 5, once in line 7 and once in

a se
com l
line 8.
. a g
m
ase
agl
Marks for T: | | | | | ||

Count of marks = 7

co m
m .
m as e
l
So the number of children who like The World Around Us the most is 7.
.co a g
m Why it happens: Each child gave exactly one answer, so counting how many times T
l a se
ag was written tells us how many children chose it.
.c
s e m
m a
e m . co agl
g l as
a

co m
m .
m ase
.co


a g l Page 9 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q4 The number of children who like Physical Eduation the most is ________ .

T, A, P.E., A, M, P.E.,
L, L, P.E., A, T, M, A,
P.E., P.E., T, P.E., M, L,
P.E., P.E., A, M, A, L,
P.E., M, T, A, T, M, M,
P.E., A, L, M, L,
P.E., A, T, L, M,
M, T, L

The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.

ANSWER

Page 10 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

T, A, P.E., A, M, P.E.,
L, L, P.E., A, T, M, A,
P.E., P.E., T, P.E., M, L,
P.E., P.E., A, M, A, L,
P.E., M, T, A, T, M, M,
P.E., A, L, M, L,
P.E., A, T, L, M,
M, T, L

The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.

Go along the list line by line and make one mark every time you see P.E..
P.E. appears twice in line 1, once in line 2, three times in line 3, twice in line 4, and once each in
lines 5, 6 and 7.

Marks for P.E.: | | | | | ||||| |

Count of marks = 11

So the number of children who like Physical Education the most is 11.

Why it happens: Each child gave exactly one answer, so counting how many times
P.E. was written tells us how many children chose it.

Tip: The book prints “Physical Eduation” here. The correct spelling is Physical
Education.

Page 11 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q5 The number of children who like Arts the most is ________ .

T, A, P.E., A, M, P.E.,
L, L, P.E., A, T, M, A,
P.E., P.E., T, P.E., M, L,
P.E., P.E., A, M, A, L,
P.E., M, T, A, T, M, M,
P.E., A, L, M, L,
P.E., A, T, L, M,
M, T, L

The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.

ANSWER

Page 12 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

T, A, P.E., A, M, P.E.,
L, L, P.E., A, T, M, A,
P.E., P.E., T, P.E., M, L,
P.E., P.E., A, M, A, L,
P.E., M, T, A, T, M, M,
P.E., A, L, M, L,
P.E., A, T, L, M,
M, T, L

The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.

Go along the list line by line and make one mark every time you see A.
A appears twice in line 1, twice in line 2, twice in line 4, once in line 5, once in line 6 and once in
line 7.

Marks for A: | | | | | ||||

Count of marks = 9

So the number of children who like Arts the most is 9.

Why it happens: Each child gave exactly one answer, so counting how many times A
was written tells us how many children chose it.

In-text Questions — Page 205

Page 13 of 51

as e
Class 4 Maths Chapter 14 Data Handling
a g l AglaSem · NCERT Solutions

Filling the information in a table
co m
e m.
m l as
Q1
.co
Let’s fill the above information in this table.
m a g
l a se
a g

. com ag
T, A, P.E., A, M,
a s emP.E.,
a gl
L, L, P.E., A, T, M, A,
co m
P.E., P.E., T, P.E., M, L,
em.
com P.E., P.E., A, M, A, L, g l as
m . a
as e
a g l
P.E., M, T, A, T, M, M,
a s
P.E., A, L, M, L, . com agl
a s em
gl L, M,
P.E., A, aT,
M, T, L m
. co
e m
m l as
m .co a g
l a se The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.

ag
se m
com g l a
m. a
ase
SUBJECTS NO. OF CHILDREN

Mathematics (M) agl

co m
.
Languages (L)

e m
m l as
.co g
The World Around Us (T)

m a
l a se Physical Education (P.E.)

ag
.c
m
Arts (A)

m a s e
e m . co
The table printed on page 205, with the count beside each subject still to be filled in. agl
g l as
a

co m
m .
m ase
.co


a g l Page 14 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

ANSWER

T, A, P.E., A, M, P.E.,
L, L, P.E., A, T, M, A,
P.E., P.E., T, P.E., M, L,
P.E., P.E., A, M, A, L,
P.E., M, T, A, T, M, M,
P.E., A, L, M, L,
P.E., A, T, L, M,
M, T, L

The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.

Count each letter in the list once, then write the count in the table.

M → 10 L → 8 T → 7 P.E. → 11 A → 9

The filled table looks like this:

Page 15 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

SUBJECTS NO. OF CHILDREN

Mathematics (M) 10

Languages (L) 8

The World Around Us (T) 7

Physical Education (P.E.) 11

Arts (A) 9

Total 45

10 + 8 + 7 + 11 + 9 = 45

Why it happens: Every one of the 45 children chose one subject. So the five
numbers must add up to 45. If they do not, a letter has been missed while counting.

Check it yourself: Add your five numbers. If the total is not 45, count that column
again.

Page 16 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q2 What is the most common favourite subject among the children? ________________

T, A, P.E., A, M, P.E.,
L, L, P.E., A, T, M, A,
P.E., P.E., T, P.E., M, L,
P.E., P.E., A, M, A, L,
P.E., M, T, A, T, M, M,
P.E., A, L, M, L,
P.E., A, T, L, M,
M, T, L

The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.

SUBJECTS NO. OF CHILDREN

Mathematics (M)

Languages (L)

The World Around Us (T)

Physical Education (P.E.)

Arts (A)

The table printed on page 205, with the count beside each subject still to be filled in.

ANSWER

Page 17 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

SUBJECTS NO. OF CHILDREN

Mathematics (M) 10

Languages (L) 8

The World Around Us (T) 7

Physical Education (P.E.) 11

Arts (A) 9

Total 45

The table on page 205 after it has been filled in from the 45 answers.

Look down the second column and find the biggest number.

11 is more than 10, 9, 8 and 7.

11 children → Physical Education

The most common favourite subject is Physical Education (P.E.).

Why it happens: The most common choice is the one picked by the largest number
of children, and P.E. was picked 11 times.

Page 18 of 51

as e
Class 4 Maths Chapter 14 Data Handling
a g l AglaSem · NCERT Solutions

co m
m.
What is the least common favourite subject among the children? ________________
e
Q3

m l as
m .co a g
l a se
a g
T, A, P.E., A, M, P.E.,
. com ag
s
L, L, P.E., A,aT, emM, A,
agl
P.E., P.E., T, P.E., M, L,
co m
P.E., P.E., A, M, A, L, em.
m l as
.co a g
a s em P.E., M, T, A, T, M, M,
ag l
P.E., A, L, M, L,
a s
P.E., A, T, L, M, . com agl
a s em
M, T, L agl

co m
m .
m as e
.co g l
The 45 answers Anjali and Rohan wrote down, exactly as they appear on the clipboard.
a
se m
g l a
a
se m
a
SUBJECTS NO. OF CHILDREN

. com a g l
m
ase
Mathematics (M)

Languages (L) agl

co m
.
The World Around Us (T)

e m
m l as
.co g
Physical Education (P.E.)

m a
l a se Arts (A)

ag
.c
The table printed on page 205, with the count beside each subject still to be filled in.
s e m
m a
e m . co agl
g l as
ANSWER
a

co m
m .
m ase
.co


a g l Page 19 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

SUBJECTS NO. OF CHILDREN

Mathematics (M) 10

Languages (L) 8

The World Around Us (T) 7

Physical Education (P.E.) 11

Arts (A) 9

Total 45

The table on page 205 after it has been filled in from the 45 answers.

Now look for the smallest number in the same column.

7 is less than 8, 9, 10 and 11.

7 children → The World Around Us

The least common favourite subject is The World Around Us (T).

Why it happens: Fewer children wrote T than any other letter, so it was chosen the
least number of times.

Page 20 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q4 Which way of displaying information is easier to understand and why? __________

Way 1

T, A, P.E., A, M, P.E.,
L, L, P.E., A, T, M, A,
P.E., P.E., T, P.E., M, L,
P.E., P.E., A, M, A, L,
P.E., M, T, A, T, M, M,
P.E., A, L, M, L,
P.E., A, T, L, M,
M, T, L

Way 2

SUBJECTS NO. OF CHILDREN

Mathematics (M)

Languages (L)

The World Around Us (T)

Physical Education (P.E.)

Arts (A)

The two ways page 205 uses to show the same 45 answers.

ANSWER

Way 1

Page 21 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

T, A, P.E., A, M, P.E.,
L, L, P.E., A, T, M, A,
P.E., P.E., T, P.E., M, L,
P.E., P.E., A, M, A, L,
P.E., M, T, A, T, M, M,
P.E., A, L, M, L,
P.E., A, T, L, M,
M, T, L

Way 2

SUBJECTS NO. OF CHILDREN

Mathematics (M) 10

Languages (L) 8

The World Around Us (T) 7

Physical Education (P.E.) 11

Arts (A) 9

Total 45

The same 45 answers shown in the two ways the book gives on page 205.

Way 2 — the table — is easier to understand.

In Way 1 the letters are mixed up. To answer even one question you must count all 45 letters
again.
In Way 2 each subject has its own row with one number beside it. You just read the numbers
and compare them.

Why it happens: A table has already done the counting for us and has put like with
like. Sorted data is faster to read than raw data.

Tip: Way 1 is still useful — it is how you write the answers down while you collect
them. The table comes afterwards.

Page 22 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Colourful Golas — Pages 206 – 207

Page 23 of 51

as e
Class 4 Maths Chapter 14 Data Handling
a g l AglaSem · NCERT Solutions

Two ways of showing the same data
co m
em.
m l as
Q1
.co
Look at the information given above. Colour the line drawing of the golas
m a g
l a seappropriately.

ag
m
Rohan
.co ag
asem
agl

co m
e m.
m l as
m .co a g
l a se
a g
a s
com
Anjali

m . agl
ase
agl

co m
m .
m as e
.co a g l
se m
g l a
a How Rohan and Anjali each recorded the golas the children ate. Rohan drew one child

se m
com a
for each gola; Anjali drew one gola for each gola.

. a g l
m
ase
ANSWER agl

co m
m .
ase
Rohan Anjali
m
e m . co agl
g l as
a c
m .
m a s e
e m . co agl
g l as
a

co m
m .
m ase
.co


a g l Page 24 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

How Rohan and Anjali each recorded the golas the children ate. Rohan drew one child for each gola;
Anjali drew one gola for each gola.

First count each row, then colour each empty gola outline with the colour that answers that
question.

COLOUR OF GOLA GOLAS EATEN BY BOYS BY GIRLS

Red 8 4 4

Blue 5 4 1

Orange 7 3 4

Yellow 10 6 4

Total 30 17 13

The gola beside question 1(a) → colour it yellow (10 golas, the most).
The gola beside question 1(b) → colour it blue (5 golas, the fewest).
The gola beside question 2 → colour it yellow.
The gola beside question 3 → colour it yellow.
The gola beside question 4 → girls ate red, orange and yellow the same number of times, so
any one of those three may be coloured.

Why it happens: Rohan drew one child for every gola and Anjali drew one gola for
every gola. So both rows of red have the same length, and counting either one gives
the same number.

Check it yourself: 8 + 5 + 7 + 10 = 30. Rohan’s record and Anjali’s record both show
30 golas.

Page 25 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q2 Which colour ice gola do the children eat: a) the most b) the least. How do you
know?

Rohan

Anjali

How Rohan and Anjali each recorded the golas the children ate. Rohan drew one child
for each gola; Anjali drew one gola for each gola.

ANSWER

Rohan Anjali

How Rohan and Anjali each recorded the golas the children ate. Rohan drew one child for each gola;
Anjali drew one gola for each gola.

Page 26 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Count the pictures in each row.

COLOUR OF GOLA GOLAS EATEN BY BOYS BY GIRLS

Red 8 4 4

Blue 5 4 1

Orange 7 3 4

Yellow 10 6 4

Total 30 17 13

Longest row → yellow, 10 golas

Shortest row → blue, 5 golas

a) The children eat the yellow gola the most.
b) They eat the blue gola the least.
How do you know? Because the rows are drawn one below the other with pictures of the same
size. The longest row has the most golas and the shortest row has the fewest. I also counted: 10
is the biggest number and 5 is the smallest.

Why it happens: When every picture stands for one gola and the pictures are the
same size, a longer row always means a bigger number.

Page 27 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q3 Which colour gola would Anjali and Rohan have bought?

Rohan

Anjali

How Rohan and Anjali each recorded the golas the children ate. Rohan drew one child
for each gola; Anjali drew one gola for each gola.

ANSWER

Rohan Anjali

How Rohan and Anjali each recorded the golas the children ate. Rohan drew one child for each gola;
Anjali drew one gola for each gola.

Page 28 of 51

as e
Class 4 Maths Chapter 14 Data Handling
a g l AglaSem · NCERT Solutions

They said they want the gola that is most eaten by others.
co m
m.
seBY GIRLS
m l a
.co ag
COLOUR OF GOLA GOLAS EATEN BY BOYS

se m
g l
Red
a 8 4 4

a
Blue 5 4 1

com
Orange 7
e m . 3 4
ag
g l as
Yellow
a
10 6 4

co m
Total 30 17 13

em.
7m
10 > 8 .>co g l as
m
>5
a
l a se eaten → yellow
a g Most

m a s
.co agl
So Anjali and Rohan would have bought a yellow gola.

se m
g l a
a
Why it happens: The data says yellow was chosen by more children than any other
colour, so it is the most liked flavour in the school.

co m
m .
m as e
.co a g l
se m
g l a
a
se m
com g l a
m . a
ase
agl

co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a

co m
m .
m ase
.co


a g l Page 29 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q4 Which colour golas did boys eat the most?

Rohan

Anjali

How Rohan and Anjali each recorded the golas the children ate. Rohan drew one child
for each gola; Anjali drew one gola for each gola.

ANSWER

Rohan Anjali

How Rohan and Anjali each recorded the golas the children ate. Rohan drew one child for each gola;
Anjali drew one gola for each gola.

Page 30 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Use Rohan’s record. In it a plain stick figure is a boy and a figure with a skirt is a girl. Count only
the boys in each row.

COLOUR OF GOLA GOLAS EATEN BY BOYS BY GIRLS

Red 8 4 4

Blue 5 4 1

Orange 7 3 4

Yellow 10 6 4

Total 30 17 13

Red 4, Blue 4, Orange 3, Yellow 6

6 is the biggest

Boys ate the yellow golas the most — 6 boys.

Why it happens: Rohan’s way of recording keeps boys and girls apart, so we can
count just one group.

Check it yourself: 4 + 4 + 3 + 6 = 17 boys, and 4 + 1 + 4 + 4 = 13 girls. 17 + 13 = 30,
the total number of golas.

Page 31 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q5 Which colour golas did girls eat the most?

Rohan

Anjali

How Rohan and Anjali each recorded the golas the children ate. Rohan drew one child
for each gola; Anjali drew one gola for each gola.

ANSWER

Rohan Anjali

How Rohan and Anjali each recorded the golas the children ate. Rohan drew one child for each gola;
Anjali drew one gola for each gola.

Page 32 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Now count only the figures with a skirt in each row of Rohan’s record.

COLOUR OF GOLA GOLAS EATEN BY BOYS BY GIRLS

Red 8 4 4

Blue 5 4 1

Orange 7 3 4

Yellow 10 6 4

Total 30 17 13

Red 4, Blue 1, Orange 4, Yellow 4

Three colours are equal at the top. Girls ate red, orange and yellow golas equally the most — 4
of each.

Why it happens: When two or more rows have the same largest count, there is no
single winner. All of them share the top place.

Note about the book: The question expects one colour, but the picture on page 206
gives a three-way tie among girls (4 red, 4 orange, 4 yellow). Count the girl figures in
your book and you will see the same. Write all three colours in your answer.

Page 33 of 51

as e
Class 4 Maths Chapter 14 Data Handling
a g l AglaSem · NCERT Solutions

co m
m.
Which of the ways of representing data did you use to answer these questions and
e
Q6

m l as
.co
why?

a g
se m
g l a
a Rohan

co m
e m . ag
g l as
a

co m
em.
m l as
m .co a g
l a se
a g Anjali

m a s
m .co agl
l a se
a g

co m
m .
m as e
.co a g l
se m
l a
How Rohan and Anjali each recorded the golas the children ate. Rohan drew one child

ag for each gola; Anjali drew one gola for each gola.

se m
com g l a
m . a
ase
ANSWER

agl
m
Rohan Anjali

. co
em
m l as
m .co a g
l a se
ag
.c
s e m
m a
e m . co agl
g l as
a
How Rohan and Anjali each recorded the golas the children ate. Rohan drew one child for each gola;
Anjali drew one gola for each gola.

co m
m .
m ase
.co


a g l Page 34 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

I used Rohan’s way for most of the questions.

For question 1 and question 2 (most and least) either record works, because both rows have
the same length. Anjali’s is quicker to read, since each picture is a gola.
For question 3 and question 4 only Rohan’s record works. It draws a boy or a girl for each
gola, so it holds one extra piece of information.

Why it happens: Anjali’s record only says how many. Rohan’s record says how many
and who. A question about boys and girls can only be answered by the record that
keeps boys and girls apart.

Tip: Before you start collecting data, think about what you will want to ask later.
Then record enough to answer it.

Activity — Chess or Cricket — Page 207
Collecting data from your own class

Q1 Find out from your classmates how many of them play only chess, only cricket, both
or neither.

ANSWER

Write your classmates’ answers here

The empty space the book leaves on page 207 for your own record.

This is your own survey, so your numbers will be your class’s numbers. Do it like this.

1. Frame one clear question: “Which of these do you play — chess, cricket, both, or neither?”
2. Make four headings on a page: Only chess, Only cricket, Both, Neither.

Page 35 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

3. Ask every classmate one by one. Put one mark under the heading they choose.
4. Also write B for a boy and G for a girl beside each mark, because two questions later ask
about boys and girls.
5. At the end, count the marks under each heading.

What a correct result looks like: each classmate is counted exactly once, so the four counts
added together must equal the number of children in your class.

only chess + only cricket + both + neither = number of children in the class

Sample answer: in a class of 30 children — only chess 6, only cricket 12, both 8, neither 4.

6 + 12 + 8 + 4 = 30 ✔

Why it happens: The four groups do not overlap. A child who plays both is counted
in “Both” only, not again in “only chess”.

Tip: Write the marks as you ask, not from memory. That is exactly what Anjali and
Rohan did with the clipboard.

Page 36 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q2 Now let us organise the above data in the table.

NATURE OF GAMES NO. OF GIRLS NO. OF BOYS

Chess but not Cricket

Cricket but not Chess

Both

Neither

The table on page 207 that you have to fill with your own class data.

ANSWER

NATURE OF GAMES NO. OF GIRLS NO. OF BOYS

Chess but not Cricket

Cricket but not Chess

Both

Neither

The table on page 207 that you have to fill with your own class data.

Move the marks you collected into the table. Girls go in one column and boys in the other.
Sample answer (for the class of 30 used above — put your own counts in your book):

NATURE OF GAMES NO. OF GIRLS NO. OF BOYS

Chess but not Cricket 4 2

Cricket but not Chess 3 9

Both 4 4

Neither 3 1

Total 14 16

Page 37 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

14 girls + 16 boys = 30 children ✔

Why it happens: The table only re-arranges the marks; it does not change them. So
the table total must be the same as the class strength.

Q3 Who plays Chess the most? _______ (Boys/Girls)

NATURE OF GAMES NO. OF GIRLS NO. OF BOYS

Chess but not Cricket

Cricket but not Chess

Both

Neither

The table on page 207 that you have to fill with your own class data.

ANSWER

NATURE OF GAMES NO. OF GIRLS NO. OF BOYS

Chess but not Cricket

Cricket but not Chess

Both

Neither

The table on page 207 that you have to fill with your own class data.

A child plays chess if they are in the “Chess but not Cricket” row or in the “Both” row. Add
those two rows for each column.

Page 38 of 51

as e
Class 4 Maths Chapter 14 Data Handling
a g l AglaSem · NCERT Solutions

co m
e m.
Girls who play chess = (chess only) + (both)
m l as
.co
Boys who play chess = (chess only) + (both)
m a g
l a se
a g
Whichever total is bigger is your answer. Write Boys or Girls accordingly.

m
Sample answer (from the sample table above):

. co ag
e m
Girls = 4 + 4 = 8
g l as
Boys = 2 + 4 = 6
a

co m
m.
8>6

as e
. com a g l
e m
In that class,
s
Girls play chess the most.

a gla Why it happens: “Both” children play chess too, so they must be added in. Leaving
them out would give a wrong answer.
m a s
m .co agl
l a se
a g

co m
m .
m as e
.co a g l
se m
g l a
a
se m
com g l a
m . a
ase
agl

co m
m .
m as e
.co a g l
se m
g l a
a c
m .
m a s e
e m . co agl
g l as
a

co m
m .
m ase
.co


a g l Page 39 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q4 Who plays Cricket the most? _______ (Boys/Girls)

NATURE OF GAMES NO. OF GIRLS NO. OF BOYS

Chess but not Cricket

Cricket but not Chess

Both

Neither

The table on page 207 that you have to fill with your own class data.

ANSWER

NATURE OF GAMES NO. OF GIRLS NO. OF BOYS

Chess but not Cricket

Cricket but not Chess

Both

Neither

The table on page 207 that you have to fill with your own class data.

In the same way, a child plays cricket if they are in the “Cricket but not Chess” row or in the
“Both” row.

Girls who play cricket = (cricket only) + (both)

Boys who play cricket = (cricket only) + (both)

Sample answer (from the sample table above):

Page 40 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Girls = 3 + 4 = 7

Boys = 9 + 4 = 13

13 > 7

In that class, Boys play cricket the most.

Why it happens: The “Both” row belongs to chess and to cricket, so it is counted
once in each of these two answers.

Tip: Your class may give the opposite answer. That is fine — data answers change
with the data.

Page 41 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q5 How many children play both types of games? _______

NATURE OF GAMES NO. OF GIRLS NO. OF BOYS

Chess but not Cricket

Cricket but not Chess

Both

Neither

The table on page 207 that you have to fill with your own class data.

ANSWER

NATURE OF GAMES NO. OF GIRLS NO. OF BOYS

Chess but not Cricket

Cricket but not Chess

Both

Neither

The table on page 207 that you have to fill with your own class data.

This one is read straight from the table. Add the two numbers in the “Both” row.

children who play both = girls in “Both” + boys in “Both”

Sample answer (from the sample table above):

4 + 4 = 8 children

Page 42 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Why it happens: The “Both” row already holds exactly the children who play chess
as well as cricket, so no other row is needed.

Let Us Do — Page 208
Bal Mela — Pictograph

Q1 Complete the table.

Anjali: Fruit Chaat Rohan: Sandwiches
Days Total Fruit Chaats Days Total Sandwiches

Day 1
Day 1

Day 2

Day 2
Day 3

Day 3

Anjali’s and Rohan’s pictographs. One picture stands for one fruit chaat or one
sandwich.

ITEMS TOTAL SOLD ITEMS

Fruit Chaats

Sandwiches

The table printed on page 208, still to be completed.

ANSWER

Anjali: Fruit Chaat Rohan: Sandwiches

Page 43 of 51

as e
Class 4 Maths Chapter 14 Data Handling
a g l AglaSem · NCERT Solutions

co m
m.
Days Total Fruit Chaats Days Total Sandwiches

Day 1
m as e
.co
Day 1
a g l
a s em2
gl
Day

a Day 2
Day 3

co m
e m . ag
as
Day 3

a g l
Anjali’s and Rohan’s pictographs. One picture stands for one fruit chaat or one sandwich.

co m
e m.
m as
Count the pictures for each day, then add the three days.

.co a g l
a s emchaats: Day 1 = 7, Day 2 = 12, Day 3 = 9
gl
Fruit
a 7 + 12 = 19, 19 + 9 = 28
m a s
m .co agl
l a se
a g
Sandwiches: Day 1 = 12, Day 2 = 16, Day 3 = 18

12 + 16 = 28, 28 + 18 = 46

co m
m .
m
The completed table:
as e
.co a g l
s m
eITEMS
gl a TOTAL SOLD ITEMS

a
se m
Fruit Chaats 28

com g l a
. a
sem
Sandwiches 46

a
agl
Total 74

co m
Why it happens: In this pictograph one picture stands for one item. So counting the
m .
m
pictures is the same as counting the items.
as e
.co a g l
se m
g l a
a
Tip: Day 2 and Day 3 are drawn in two lines. Count the top line, count the bottom
.c
m
line, then add — do not stop at one line.

m a s e
e m . co agl
g l as
a

co m
m .
m ase
.co


a g l Page 44 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q2 On which day were the most sandwiches sold?

Anjali: Fruit Chaat Rohan: Sandwiches
Days Total Fruit Chaats Days Total Sandwiches

Day 1
Day 1

Day 2

Day 2
Day 3

Day 3

Anjali’s and Rohan’s pictographs. One picture stands for one fruit chaat or one
sandwich.

ANSWER

Anjali: Fruit Chaat Rohan: Sandwiches
Days Total Fruit Chaats Days Total Sandwiches

Day 1
Day 1

Day 2
Day 2
Day 3

Day 3

Anjali’s and Rohan’s pictographs. One picture stands for one fruit chaat or one sandwich.

Count Rohan’s sandwich pictures day by day.

Day 1: 6 + 6 = 12

Day 2: 8 + 8 = 16

Day 3: 9 + 9 = 18

The most sandwiches were sold on Day 3 — 18 sandwiches.

Page 45 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Why it happens: Day 3 has the longest rows of sandwich pictures, and 18 is bigger
than 16 and 12.

Q3 Which item had the highest sale on Day 2?

Anjali: Fruit Chaat Rohan: Sandwiches
Days Total Fruit Chaats Days Total Sandwiches

Day 1
Day 1

Day 2

Day 2
Day 3

Day 3

Anjali’s and Rohan’s pictographs. One picture stands for one fruit chaat or one
sandwich.

ANSWER

Anjali: Fruit Chaat Rohan: Sandwiches
Days Total Fruit Chaats Days Total Sandwiches

Day 1
Day 1

Day 2
Day 2
Day 3

Day 3

Anjali’s and Rohan’s pictographs. One picture stands for one fruit chaat or one sandwich.

Look only at the Day 2 row of both pictographs.

Page 46 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Fruit chaats on Day 2 = 6 + 6 = 12

Sandwiches on Day 2 = 8 + 8 = 16

16 > 12

Sandwiches had the highest sale on Day 2.

16 − 12 = 4 more sandwiches than fruit chaats

Why it happens: Both pictographs use one picture for one item, so the two rows can
be compared directly.

Page 47 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Q4 Complete the table given below. Circle the day that had the highest sales.

Anjali: Fruit Chaat Rohan: Sandwiches
Days Total Fruit Chaats Days Total Sandwiches

Day 1
Day 1

Day 2

Day 2
Day 3

Day 3

Anjali’s and Rohan’s pictographs. One picture stands for one fruit chaat or one
sandwich.

DAY TOTAL SALES

Day 1

Day 2

Day 3

The Day and Total Sales table printed on page 208, still to be completed.

ANSWER

Anjali: Fruit Chaat Rohan: Sandwiches
Days Total Fruit Chaats Days Total Sandwiches

Day 1
Day 1

Day 2

Day 2
Day 3

Day 3

Page 48 of 51

as e
Class 4 Maths Chapter 14 Data Handling
a g l AglaSem · NCERT Solutions

Anjali’s and Rohan’s pictographs. One picture stands for one fruit chaat or one sandwich.
co m
e m.
m l as
.co a g
Total sales for a day means fruit chaats and sandwiches together on that day.

se m
g l a
aDay 1: 7 + 12 = 19
Day 2: 12 + 16 = 28
co m
e m . ag
as
Day 3: 9 + 18 = 27

a g l
The completed table, with the highest day circled:

co m
em.
as
DAY TOTAL SALES

Day 1 .c
om a g l
s em
19

a
aglDay 2 28 ← circle this day

m a s
.co agl
Day 3 27

se m
Total 74
g l a
a
28 > 27 > 19, so circle Day 2
co m
m .
o m l a se
m .c it happens: Day 3 sold the most sandwiches, but Dayag2 sold many more fruit
asechaats. Adding both items changes which day comes first.
Why

agl
se m
com g l a
. a
Check it yourself: 19 + 28 + 27 = 74, and 28 + 46 = 74. The two tables must give the
m
ase
same grand total.

agl

co m
m .
as e
. com at a glance a g l
sem
Chapter
a
agl
Information that we collect and count is called data.
A good survey question has only one answer, so each child gives exactly one vote.
.c
s e m
m a
co agl
While collecting, write each answer down as it comes — a short letter like M, L or A is quick
to write.
m .
l a se
ag than a raw list, because the counting is already done.
A table puts like with like. It has one row for each choice and one number beside it.
A table is easier to read

com
m .
m ase
.co


a g l Page 49 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

In a pictograph one picture stands for one thing, so a longer row always means a bigger
number.
Different ways of recording hold different information. Pictures of children keep boys and
girls apart; pictures of golas only give the total.
The counts in a table must add up to the number of people you asked. That is how you
check your work.

Page 50 of 51

Class 4 Maths Chapter 14 Data Handling AglaSem · NCERT Solutions

Quick revision

IDEA WHAT IT MEANS EXAMPLE FROM THE REMEMBER THIS
CHAPTER

Data Information we collect and The 45 answers on the Collect first, count later
count clipboard

Good question A question with only one “Which subject do you like One child, one vote
answer the most?”

Poor question A question with many answers “Which subjects do you Cannot be counted fairly
like?”

Recording Writing each answer as it M, L, T, A, P.E. on the Use a short letter
comes clipboard

Table Rows of choices with counts Mathematics 10, Like with like
beside them Languages 8, …

Most common The choice with the biggest Physical Education, 11 Look for the largest
count children number

Least common The choice with the smallest The World Around Us, 7 Look for the smallest
count children number

Check the total All counts added = people 10 + 8 + 7 + 11 + 9 = 45 If not, count again
asked

Pictograph A picture drawn for each thing One sandwich picture = one Longer row = bigger
counted sandwich number

Reading a Count the pictures in the row Day 3 sandwiches: 9 + 9 = Count both lines of a row
pictograph 18

Tie Two or more choices with the Girls ate 4 red, 4 orange, 4 There can be more than
same top count yellow golas one winner

Two records, one The same data shown in two Rohan drew children, Anjali Both give the total 30
event ways drew golas

Page 51 of 51