Data Handling and Presentation — Class 6 Mathematics NCERT Solutions (Free)

Free step-by-step NCERT solutions for Class 6 Mathematics chapter "Data Handling and Presentation" — 8 important questions with detailed answers for CBSE board exam preparation.

TL;DR: Free step-by-step NCERT solutions for Class 6 Mathematics chapter "Data Handling and Presentation" — 8 important questions with detailed answers for C…

By Syllab.in · Updated Jun 14, 2026

Key Questions Covered:

What is the difference between a pictograph and a bar graph?
If a pictograph shows 4 hearts where each heart = 10 students, how many stude…
Draw a tally mark table for the following data: 3 apples, 5 bananas, 4 orange…
What information can you get from a bar graph? Name three things.
A class collected data on favorite colors: 8 students like red, 6 like blue, …
In a bar graph, what does the x-axis usually represent, and what does the y-a…
+ 2 more questions in the full chapter

Solutions Summary:

Question	Status
What is the difference between a pictograph and a bar graph?	✓ Solved
If a pictograph shows 4 hearts where each heart = 10 stud…	✓ Solved
Draw a tally mark table for the following data: 3 apples,…	✓ Solved
What information can you get from a bar graph? Name three…	✓ Solved
A class collected data on favorite colors: 8 students lik…	✓ Solved
In a bar graph, what does the x-axis usually represent, a…	✓ Solved

Showing 6 of 8 questions

Q1: What is the difference between a pictograph and a bar graph?

Step 1: Define a pictograph A pictograph uses small pictures or symbols to represent data Each symbol represents a certain number of items Example: One smiley face = 5 students Step 2: Define a bar graph A bar graph uses rectangular bars of different heights to represent data The height or length of each bar shows the quantity Step 3: List key differences Pictograph: uses symbols/pictures, simple for young children to understand Bar graph: uses bars, more precise for comparing quantities, easier...

Q2: If a pictograph shows 4 hearts where each heart = 10 students, how many students does it represent?

Step 1: Identify the given information Number of hearts shown = 4 Value of each heart = 10 students Step 2: Calculate total students Total students = Number of hearts × Value per heart Total students = 4 × 10 Total students = 40 Answer: 4 hearts represent 40 students

Q3: Draw a tally mark table for the following data: 3 apples, 5 bananas, 4 oranges, 2 grapes. Use tally marks.

Step 1: Create a table with three columns: Item, Tally Marks, Count Step 2: Represent data using tally marks Tally marks are drawn as | | | | | (five marks, with the fifth crossing through) For 1-4 items: use individual marks For 5+ items: use the crossed group Step 3: Show tally marks for each fruit Apples (3): | | | Bananas (5): | | | | | (shown as a group of 5) Oranges (4): | | | | Grapes (2): | | Step 4: Write the complete table Item | Tally Marks | Count Apples | | | | | 3 Bananas | | | | |...

Q4: What information can you get from a bar graph? Name three things.

A bar graph displays data visually and allows us to extract multiple types of information. Step 1: First piece of information You can find the exact value or frequency of each category by reading the height of the bar Example: The bar for Monday shows 20 visitors Step 2: Second piece of information You can compare quantities between different categories Example: Which day had more visitors? Compare bar heights. Step 3: Third piece of information You can identify the maximum and minimum values Ex...

Q5: A class collected data on favorite colors: 8 students like red, 6 like blue, 5 like green, and 7 like yellow. What is the total number of students surveyed?

Step 1: List the data Red: 8 students Blue: 6 students Green: 5 students Yellow: 7 students Step 2: Add all the frequencies Total = 8 + 6 + 5 + 7 Total = 14 + 5 + 7 Total = 19 + 7 Total = 26 Answer: 26 students were surveyed

Q6: In a bar graph, what does the x-axis usually represent, and what does the y-axis represent?

Step 1: Identify the x-axis The x-axis is the horizontal line at the bottom of the graph The x-axis typically shows categories or different groups being compared Example: Days of the week, types of fruits, names of students Step 2: Identify the y-axis The y-axis is the vertical line on the left side of the graph The y-axis typically shows the scale or quantity being measured Example: Number of students, number of items sold, temperature Step 3: How they work together Each bar has a category on t...

Showing 6 of 8 questions. Visit the full page for complete solutions.