NCERT Class 2 Mathematics • New NEP 2020 / NCF-FS

Chapter 11: Data Handling

Categorizing, Tally Charts, Letter Counting & Pictograph Analysis | CBSE Session 2026–27

Core Pedagogical Competencies & Concepts
  • Collecting data through counting and sorting into distinct categories.
  • Reading simple pictographs and block charts where 1 symbol represents 1 item.
  • Analyzing name lengths and most/least frequent elements in everyday surveys.
Car(6)Bike(4)Cycle(7)Bus(3)Vehicle Tally Survey

All Textbook Exercises & In-Text Tasks (17 Questions)

100% Complete Ingestion
Q1 Counting Categories in a Picture
In a park picture, children count the animals:
• Dogs: 4
• Cats: 3
• Birds on trees: 8
• Squirrels: 5
How many total animals were observed in the park?
[2 Marks]
✅ Step-by-Step Solution & Working
Calculation:
• Dogs = 4
• Cats = 3
• Birds = 8
• Squirrels = 5
• Total = 4 + 3 + 8 + 5 = 20 animals.
CBSE Step-by-Step Marking Scheme
Addition sentence (4 + 3 + 8 + 5) 1 M
Total = 20 animals 1 M
Q2 Analyzing Name Letter Lengths
Count the number of letters in each child's name:
(a) AMAN
(b) PRIYANKA
(c) DEV
(d) MEENAKSHI
Which name is the longest and which is the shortest?
[3 Marks]
✅ Step-by-Step Solution & Working
Letter Counts:
(a) AMAN = 4 letters
(b) PRIYANKA = 8 letters
(c) DEV = 3 letters
(d) MEENAKSHI = 9 letters.
• Longest name: MEENAKSHI (9 letters).
• Shortest name: DEV (3 letters).
CBSE Step-by-Step Marking Scheme
All letter counts correct 1 M
Longest: MEENAKSHI 1 M
Shortest: DEV 1 M
Q3 Letter Frequency in Names
In the names: RAM, AMAN, SARITA, TARUN, count how many times the letter 'A' appears in total.
[2 Marks]
✅ Step-by-Step Solution & Working
Count of letter 'A':
• RAM ➔ 1 'A'
• AMAN ➔ 2 'A's
• SARITA ➔ 2 'A's
• TARUN ➔ 1 'A'
• Total times letter 'A' appears = 1 + 2 + 2 + 1 = 6 times.
CBSE Step-by-Step Marking Scheme
Letter counts per name 1 M
Total: 6 times 1 M
Q4 Reading a Pictograph
In a pictograph where 1 📚 symbol = 1 library book read:
• Rohit: 📚📚📚📚 (4)
• Simran: 📚📚📚📚📚📚 (6)
• Tanu: 📚📚 (2)
(a) Who read the most books?
(b) How many books did all three read altogether?
[2 Marks]
✅ Step-by-Step Solution & Working
Answers:
(a) Simran read the most books (6 books).
(b) Total books = 4 + 6 + 2 = 12 books.
CBSE Step-by-Step Marking Scheme
Simran read most 1 M
Total = 12 books 1 M
Q5 Comparing Data Categories
Using the pictograph above (Rohit 4, Simran 6, Tanu 2), how many more books did Simran read than Tanu?
[2 Marks]
✅ Step-by-Step Solution & Working
Calculation:
• Simran's books = 6
• Tanu's books = 2
• Difference = 6 - 2 = 4 more books.
CBSE Step-by-Step Marking Scheme
Subtraction 6 - 2 1 M
Answer: 4 more books 1 M
Q6 Shoe Size Survey
A survey of 25 students' shoe sizes shows:
• Size 1: 5 students
• Size 2: 12 students
• Size 3: 8 students
(a) Which shoe size is the most common?
(b) Which shoe size is the least common?
[2 Marks]
✅ Step-by-Step Solution & Working
Answer:
(a) Size 2 is the most common shoe size (12 students).
(b) Size 1 is the least common shoe size (5 students).
CBSE Step-by-Step Marking Scheme
Most common: Size 2 1 M
Least common: Size 1 1 M
Q7 Vehicle Traffic Tally
During 15 minutes of watching from the gate, children recorded vehicles passing:
• Bicycles: 10
• Motorbikes: 7
• Cars: 5
• Buses: 2
(a) Which vehicle passed the greatest number of times?
(b) Did more cars pass or more motorbikes?
[2 Marks]
✅ Step-by-Step Solution & Working
Answer:
(a) Bicycles passed the greatest number of times (10).
(b) More motorbikes passed (7 motorbikes > 5 cars).
CBSE Step-by-Step Marking Scheme
Bicycles greatest count 1 M
More motorbikes than cars 1 M
Q8 Monthly Weather Chart
In the 30 days of September, the weather was recorded as:
• Sunny days: 16
• Rainy days: 10
• Cloudy days: 4
How many days were NOT rainy in September?
[2 Marks]
✅ Step-by-Step Solution & Working
Calculation:
• Total days = 30
• Rainy days = 10
• Days not rainy = Sunny (16) + Cloudy (4) = 20 days (or 30 - 10 = 20).
CBSE Step-by-Step Marking Scheme
Calculation method 1 M
Answer: 20 days 1 M
Q9 Favorite Sport Survey
In a class survey on favorite games:
• Cricket: 14 votes
• Football: 8 votes
• Badminton: 6 votes
What is the total number of students who voted?
[2 Marks]
✅ Step-by-Step Solution & Working
Calculation:
• Total voters = 14 + 8 + 6 = 28 students.
CBSE Step-by-Step Marking Scheme
Sum setup 14 + 8 + 6 1 M
Answer: 28 students 1 M
Q10 Tally Chart Making
Draw tally marks or write counts for the following fruit collection: 4 apples, 6 bananas, 3 oranges.
[2 Marks]
✅ Step-by-Step Solution & Working
Tally Table:
• Apples: |||| (Count: 4)
• Bananas: |||| | (Count: 6)
• Oranges: ||| (Count: 3).
CBSE Step-by-Step Marking Scheme
Correct representation for all 3 fruits 2 M
Q11 Water Glasses Drank Daily
Five friends record how many glasses of water they drink each day:
• Aarav: 6
• Tanya: 8
• Kabir: 7
• Meera: 8
• Vicky: 5
(a) Which two friends drank the same number of glasses?
(b) Who drank the least water?
[2 Marks]
✅ Step-by-Step Solution & Working
Answer:
(a) Tanya and Meera drank the exact same amount (8 glasses each).
(b) Vicky drank the least water (5 glasses).
CBSE Step-by-Step Marking Scheme
Tanya and Meera identified 1 M
Vicky drank least 1 M
Q12 True or False • Data Handling
Write True or False:
(a) A pictograph uses pictures or symbols to represent data numbers.
(b) A tally table helps us organize messy information neatly.
(c) In a survey of 10 people, the highest vote can be 12.
[3 Marks]
✅ Step-by-Step Solution & Working
Answers:
(a) True
(b) True
(c) False (In a survey of 10 people, votes cannot exceed 10).
CBSE Step-by-Step Marking Scheme
All 3 correct (1 M each) 3 M
Q13 Difference between Highest and Lowest
In an art competition, points scored by 4 house teams were: Blue (24), Red (30), Green (18), Yellow (22). What is the difference between the highest and lowest scores?
[2 Marks]
✅ Step-by-Step Solution & Working
Calculation:
• Highest score = 30 (Red House)
• Lowest score = 18 (Green House)
• Difference = 30 - 18 = 12 points.
CBSE Step-by-Step Marking Scheme
Highest (30) and Lowest (18) 1 M
Difference = 12 points 1 M
Q14 Data Riddle
I show numbers using little pictures of apples, stars, or smiley faces so you can read them at a single glance. What kind of chart am I?
[1 Marks]
✅ Step-by-Step Solution & Working
Answer:
You are a Pictograph.
CBSE Step-by-Step Marking Scheme
Identified Pictograph 1 M
Q15 Missing Data Deduction
A basket has 20 total fruits. 8 are mangoes and 7 are apples. The remaining fruits are guavas. How many guavas are in the basket?
[2 Marks]
✅ Step-by-Step Solution & Working
Calculation:
• Mangoes + Apples = 8 + 7 = 15 fruits.
• Total fruits = 20
• Guavas = 20 - 15 = 5 guavas.
CBSE Step-by-Step Marking Scheme
8 + 7 = 15 1 M
20 - 15 = 5 guavas 1 M
Q16 Let Us Think • Why We Collect Data
Why does a school principal count the number of boys and girls in every classroom at the start of the year?
[2 Marks]
✅ Step-by-Step Solution & Working
Answer:
• To know how many desks, chairs, textbooks, uniforms, and mid-day meal plates are needed for everyone so no child faces a shortage.
CBSE Step-by-Step Marking Scheme
Planning resources (desks/books/meals) explained 2 M
Q17 Textbook Data • School Bus Tally
Children recorded the colours of cars in the school parking lot: 8 White cars, 5 Red cars, 4 Blue cars, and 3 Silver cars.
(a) Which colour car is the most common?
(b) How many cars were counted in total?
[2.5 Marks]
✅ Step-by-Step Solution & Working
Step-by-Step Solution:
(a) White cars are the most common (8 cars).
(b) Total cars = 8 + 5 + 4 + 3 = 20 cars in total.
CBSE Step-by-Step Marking Scheme
White most common 1 M
Total 20 cars 1.5 M
🌟 NEP 2020 Competency-Based Case Study

Class 2 Favorite Fruit Survey

The class teacher surveys all 30 students about their single favorite fruit. The findings are: 12 students like Mango, 8 students like Apple, 6 students like Banana, and 4 students like Orange.

Analytical Task: Which fruit is the most popular in the class? How many more students prefer Mango over Banana?
Evaluation & Model Answer:
1. Mango is the most popular fruit with 12 votes (highest count).
2. Difference between Mango and Banana = 12 - 6 = 6 more students prefer Mango.
Rubric: 1.5 M for Mango as most popular + 1.5 M for difference (6)