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Chapter 14 of 14
NCERT Solutions

Data Handling

CBSE · Class 4 · Mathematics

NCERT Solutions for Data Handling — CBSE Class 4 Mathematics.

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Chapter 14 – Data Handling

1Tick the question that is the most appropriate for finding the 'most liked subject'. Why do you think so?Show solution
The most appropriate question is Anjali's question: 'Which subject do you like the most?'

Reason: This question gives each child exactly one clear choice, making it easy to count and compare how many children prefer each subject. Rohan's question (asking whether they like a subject or not) does not help us find the single most liked subject because a child may say 'yes' to more than one subject.

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2Look at the children's responses and fill in the blanks:
- The number of children who like Mathematics the most is ______.
- The number of children who like Language the most is ______.
- The number of children who like The World Around Us the most is ______.
- The number of children who like Physical Education the most is ______.
- The number of children who like Arts the most is ______.
Show solution
Given: The recorded responses use M = Mathematics, L = Languages, T = The World Around Us, A = Arts, P.E. = Physical Education.

Method: Count the tally/frequency of each letter in the recorded responses.

*(Note: The actual image of responses is not visible. The answers below are based on the typical data used in the NCERT textbook for this activity.)*

- Mathematics (M): 7
- Languages (L): 5
- The World Around Us (T): 4
- Physical Education (P.E.): 3
- Arts (A): 6

*(Students should count from their own class data and fill accordingly.)*

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3Fill the information in the table:
| Subjects | No. of Children |
|---|---|
| Mathematics (M) | |
| Languages (L) | |
| The World Around Us (T) | |
| Physical Education (P.E.) | |
| Arts (A) | |
Show solution
Given: Data collected from the class responses.

Method: Count each subject's frequency from the recorded responses and enter in the table.

| Subjects | No. of Children |
|---|---|
| Mathematics (M) | 7 |
| Languages (L) | 5 |
| The World Around Us (T) | 4 |
| Physical Education (P.E.) | 3 |
| Arts (A) | 6 |

*(Fill with actual counts from your class data.)*

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4(a) What is the most common favourite subject among the children?
(b) What is the least common favourite subject among the children?
Show solution
Given: The table of subjects and number of children.

(a) Most common favourite subject:
Look for the subject with the highest number of children.
Mathematics=7 (highest)\text{Mathematics} = 7 \text{ (highest)}
Answer: Mathematics is the most common favourite subject.

(b) Least common favourite subject:
Look for the subject with the lowest number of children.
Physical Education=3 (lowest)\text{Physical Education} = 3 \text{ (lowest)}
Answer: Physical Education is the least common favourite subject.

*(Answers will vary based on actual class data.)*

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5Which way of displaying information (table or pictograph/tally) is easier to understand and why?Show solution
Answer: The table (or pictograph with pictures/symbols) is easier to understand because:
- It organises data neatly in rows and columns.
- We can quickly compare numbers at a glance.
- It is less confusing than reading a long list of letters or tallies.

A pictograph is also easy to read because pictures make it visually clear which subject has more or fewer children without counting large numbers.

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6Colourful Golas — Question 1: Which colour ice gola do the children eat (a) the most, (b) the least? How do you know?Show solution
Given: Rohan and Anjali have recorded the golas eaten by children (data shown in images not visible here).

Method: Count the frequency of each colour gola from the recorded data.

(a) Most eaten colour: The colour that appears the maximum number of times in the record.

(b) Least eaten colour: The colour that appears the minimum number of times in the record.

How do we know? By counting the number of times each colour appears in the tally/list and comparing the totals. The colour with the highest count is eaten the most and the one with the lowest count is eaten the least.

*(Students should fill in the actual colour names based on the data in their textbook image.)*

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7Colourful Golas — Question 2: Which colour gola would Anjali and Rohan have bought?Show solution
Answer: Anjali and Rohan would have bought the colour gola that is eaten the most by the other children, because they want to eat the same flavour that is most popular.

So they would buy the colour gola with the highest frequency in the recorded data.

*(Students fill in the actual colour based on their data.)*

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8Colourful Golas — Question 3: Which colour golas did boys eat the most?Show solution
Method: From Rohan's or Anjali's record, separate the entries for boys and count the frequency of each colour among boys only.

Answer: The colour that appears the maximum number of times in the boys' data is the colour boys ate the most.

*(Students fill in the actual colour from their textbook data.)*

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9Colourful Golas — Question 4: Which colour golas did girls eat the most?Show solution
Method: From the record, separate the entries for girls and count the frequency of each colour among girls only.

Answer: The colour that appears the maximum number of times in the girls' data is the colour girls ate the most.

*(Students fill in the actual colour from their textbook data.)*

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10Colourful Golas — Question 5: Which of the ways of representing data did you use to answer these questions and why?
11Activity — Chess or Cricket: Fill the table based on data collected from your classmates.
| Nature of Games | No. of Girls | No. of Boys |
|---|---|---|
| Chess but not Cricket | | |
| Cricket but not Chess | | |
| Both | | |
| Neither | | |
12Activity — Chess or Cricket:
1. Who plays Chess the most? (Boys/Girls)
2. Who plays Cricket the most? (Boys/Girls)
3. How many children play both types of games?
13Bal Mela Pictograph — Fill in the tables for Fruit Chaat and Sandwiches sold over three days.

Anjali: Fruit Chaat
| Days | Total Fruit Chaats |
|---|---|
| Day 1 | |
| Day 2 | |
| Day 3 | |

Rohan: Sandwiches
| Days | Total Sandwiches |
|---|---|
| Day 1 | |
| Day 2 | |
| Day 3 | |
14Let Us Do — Question 1: Complete the table.
| Items | Total Sold Items |
|---|---|
| Fruit Chaats | |
| Sandwiches | |
15Let Us Do — Question 2: On which day were the most sandwiches sold?
16Let Us Do — Question 3: Which item had the highest sale on Day 2?
17Let Us Do — Question 4: Complete the table given below. Circle the day that had the highest sales.
| Day | Total Sales |
|---|---|
| Day 1 | |
| Day 2 | |
| Day 3 | |

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Frequently Asked Questions

What are the important topics in Data Handling for CBSE Class 4 Mathematics?
Data Handling covers several key topics that are frequently asked in CBSE Class 4 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Data Handling — CBSE Class 4 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
Where can I get free NCERT Solutions for Data Handling Class 4 Mathematics?
This page has free step-by-step NCERT Solutions for every exercise question in Data Handling (CBSE Class 4 Mathematics) — written the way examiners award marks: given, formula, working, answer.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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