Important Questions Class 6 Maths Chapter 4 Data Handling and Presentation 2026–27

Data Handling and Presentation teaches students how to collect, organise, represent and understand information.
In CBSE Class 6 Maths Chapter 4, students learn tally marks, frequency tables, pictographs, bar graphs and scales.

Data Handling and Presentation is Chapter 4 in the updated Class 6 Maths NCERT Ganita Prakash textbook. The chapter explains how data can be collected from people, events, observations and measurements. It also shows how data can be organised using tally marks, frequency tables, pictographs and bar graphs.

Use these Important Questions Class 6 Maths Chapter 4 to practise real-life data problems, graph reading, graph drawing and simple reasoning. Start with data, raw data, organised data, frequency and tally marks, then move to pictographs, bar graphs, scale or key and data presentation.

Key Takeaways

• Data: It is a collection of facts, numbers, measures, observations or descriptions.
• Frequency: It shows how many times a value, choice or observation occurs.
• Pictograph: It represents data using pictures or symbols with a scale or key.
• Bar graph: It represents data using bars of equal width and equal spacing.

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Very Short Answer Questions for Class 6 Maths Chapter 4

Data Handling and Presentation begins with simple terms used while collecting and reading information. These questions build the base for tables, pictographs and bar graphs.

Q1. What is data?

Data is a collection of facts, numbers, measures, observations or descriptions that give information about something.

For example, a list of students’ favourite games is data.

Q2. What is raw data?

Raw data is data collected in its original form before it is arranged or organised.

For example, a list of shoe sizes written as students say them is raw data.

Q3. What is organised data?

Organised data is data arranged in a clear order or table.

It helps us read, count and compare information more easily.

Q4. What is data collection?

Data collection is the process of gathering information to answer a question.

For example, asking classmates their favourite TV show is data collection.

Q5. What is frequency?

Frequency is the number of times a value, choice or observation occurs.

If 8 students choose hockey as their favourite game, the frequency of hockey is 8.

Q6. What are tally marks?

Tally marks are short marks used to count data quickly.

They are usually grouped in sets of five.

Q7. What is a pictograph?

A pictograph is a visual way of showing data using pictures or symbols.

Each picture or symbol represents a certain number of objects or people.

Q8. What is a bar graph?

A bar graph represents data using bars of equal width.

The height or length of each bar shows the frequency or quantity.

Objective Questions from Data Handling and Presentation

Objective questions from Data Handling and Presentation check definitions, graph features and simple facts. These questions are useful for quick revision.

Q9. Fill in the blank: A collection of facts, numbers or observations is called ______.

data.

Data gives information about things, people, events or observations.

Q10. Fill in the blank: The number of times a value occurs is called its ______.

frequency.

Frequency helps us know how often an item appears.

Q11. Fill in the blank: Tally marks are usually grouped in sets of ______.

five.

Four vertical marks are crossed by the fifth mark to make counting easier.

Q12. Choose the correct Which graph uses bars to represent data?

1. a) Pictograph
   b) Bar graph
   c) Number line
   d) Calendar
2. b) Bar graph.

A bar graph uses bars of equal width to show data.

Q13. True or False: A pictograph must have a scale or key.

True.

The scale or key tells what each picture or symbol represents.

Q14. True or False: A visual graph can sometimes mislead the reader.

True.

A graph can mislead if the scale, shape or picture gives a wrong impression.

Short Answer Questions from Class 6 Maths Chapter 4 Important Questions

Short answer questions test how well students can explain data collection and organisation. Give simple definitions with one example.

Q15. Why do we organise data?

We organise data to make it easier to read, count and compare.

A long list can be confusing, but a table shows the information clearly.

For example, if students name their favourite sweets, a tally table can show how many students chose each sweet.

Q16. How do tally marks help in counting data?

Tally marks help record each observation quickly.

Each mark stands for one count, and every fifth mark crosses the previous four marks.

This makes it easier to count large data without losing track.

Q17. How is a frequency table prepared?

A frequency table is prepared by writing each item in one column and its count in another column.

Tally marks can be used first, and then the total count is written as frequency.

For example, sweet names can be written in one column and the number of students who chose each sweet in another.

Q18. What is the difference between raw data and organised data?

Raw data is collected as it is, while organised data is arranged in a useful form.

Raw data may look like a long list.

Organised data may be written in ascending order, tally table or frequency table. It helps answer questions faster.

Q19. Why is choosing a suitable scale important in a pictograph?

A suitable scale helps represent data clearly without using too many symbols.

For small numbers, one symbol may represent one object.

For larger numbers, one symbol may represent 5, 10 or 100 objects. The scale must be written clearly so the pictograph can be read correctly.

Q20. Why should the scale of a bar graph start from zero?

The scale of a bar graph should start from zero so that the bars show correct comparisons.

If the scale starts from another number, the graph may make small differences look very large.

Starting from zero helps keep the graph accurate and fair.

Pictograph-Based Questions for Class 6 Maths Chapter 4

Pictographs help students understand data quickly. Always read the key before counting symbols.

Q21. A pictograph shows books borrowed from a library in one week. Monday has 3 symbols, Tuesday has 5 symbols, Wednesday has 4 symbols, Thursday has 2 symbols, Friday has 4 symbols and Saturday has 6 symbols. If 1 symbol = 1 book, find the total number of books borrowed.

The total number of books borrowed is 24.

Add the books for all days:

3 + 5 + 4 + 2 + 4 + 6 = 24

So, 24 books were borrowed during the week.

Q22. In a pictograph, 1 symbol represents 100 kites. Rani has 3 symbols and Poonam Ben has 7 symbols. How many kites did each buy?

Rani bought 300 kites and Poonam Ben bought 700 kites.

Since 1 symbol = 100 kites:

Rani: 3 × 100 = 300 kites

Poonam Ben: 7 × 100 = 700 kites

Q23. A pictograph uses 1 symbol = 6 dogs. Village B has 36 Mudhol Hounds. How many symbols will represent Village B?

Village B will be represented by 6 symbols.

Use the scale:

36 ÷ 6 = 6

So, 6 symbols are needed.

Q24. Why can a pictograph become difficult when values are not multiples of the chosen scale?

A pictograph becomes difficult when values are not exact multiples of the scale because partial symbols may be needed.

For example, if 1 symbol = 10 students, showing 27 students is not simple.

This is why a suitable scale must be chosen before drawing a pictograph.

Bar Graph-Based Questions for Class 6 Maths Chapter 4

Bar graphs show data using equal-width bars. The height or length of each bar helps compare values quickly.

Q25. Samantha saw insects in a tea garden: mites 6, caterpillars 10, beetles 5, butterflies 3 and grasshoppers 2. Which insect was seen the most?

Caterpillars were seen the most.

The data is:

The greatest number is 10, so caterpillars were seen the most.

Q26. Pooja collected ticket data: Vidisha 24, Jabalpur 20, Seoni 16, Indore 28 and Sagar 16. If Vidisha is shown by a bar of 6 unit lengths, what is the scale?

The scale is 1 unit length = 4 tickets.

Vidisha has 24 tickets and its bar is 6 unit lengths.

24 ÷ 6 = 4

So, 1 unit length represents 4 tickets.

Q27. A survey of 120 students showed their preferred free-time activities: playing 45, reading 30, watching TV 20, listening to music 10 and painting 15. Which activity is preferred by most students other than playing?

Reading story books is preferred by most students other than playing.

Among the activities after playing, the numbers are:

The greatest number is 30, so reading is the answer.

Q28. Students planted saplings during a week. If 30 were planted on Wednesday and 40 on Thursday, how many saplings were planted on both days together?

70 saplings were planted on Wednesday and Thursday together.

Add the two values:

30 + 40 = 70

So, the total is 70 saplings.

Data Interpretation Questions for Class 6 Maths Chapter 4

Data interpretation questions ask students to read a table or list and draw a conclusion. Read the labels, count carefully and check the scale.

Q29. Faiz prepared a frequency table of wickets taken by Jaspreet Bumrah in 30 matches. The data is: 0 wickets in 2 matches, 1 wicket in 4 matches, 2 wickets in 6 matches, 3 wickets in 8 matches, 4 wickets in 3 matches, 5 wickets in 5 matches, 6 wickets in 1 match and 7 wickets in 1 match. Find the total number of wickets.

The total number of wickets is 90.

Now add:

0 + 4 + 12 + 24 + 12 + 25 + 6 + 7 = 90

So, Bumrah took 90 wickets in 30 matches.

Q30. Pari wants to answer these questions. Which ones need data collection: most popular TV show among classmates, when India got independence, water wasted in her locality, and capital of India?

The questions about the most popular TV show and water wasted in her locality need data collection.

She must ask classmates to know the most popular TV show.

She must observe or measure water wastage in her locality.

The questions about India’s independence and the capital of India have fixed factual answers, so she does not need to collect data for them.

Important Questions Class 6 Maths