Welcome To My School Study
Practice Class 7 Maths Chapter 3 Data Handling MCQ Questions with Answers based on the latest NCERT syllabus. Solve high-quality moderate to difficult MCQs on frequency tables, tally marks, pictographs, bar graphs, and data interpretation with detailed step-by-step solutions. Best for CBSE, State Board, Olympiad, and scholarship exam preparation.
Do You Know
Chapter Information
Subject: Mathematics
Class: 7
Chapter: Data Handling
Question Type: Multiple Choice Questions (MCQs)
Difficulty Level: Moderate to Difficult
Based On: NCERT Latest Syllabus (2026)
Introduction
Data Handling helps students collect, organize, represent, and interpret information efficiently. Through frequency tables, pictographs, and bar graphs, students learn to compare data, identify patterns, and make logical conclusions. These concepts are useful in school as well as in everyday life.
What You Will Learn?
✔ Organizing raw data
✔ Frequency tables
✔ Tally marks
✔ Pictographs
✔ Bar graph interpretation
✔ Comparing observations
✔ Application-based problem solving
Why This Topic Is Important?
Data Handling is used in schools, hospitals, businesses, sports tournaments, weather reports, and government surveys. It develops analytical thinking and helps students understand information presented in graphical form.
Exam Relevance
These questions are useful for:
✔ CBSE Exams
✔ State Board Exams
✔ School Tests
✔ Unit Tests
✔ Half-Yearly Exams
✔ Annual Exams
✔ Olympiad Preparation
✔ Scholarship Examinations
Q1. A teacher records the favourite colours of students as shown below.
| Colour | Frequency |
| Red | $$17$$ |
| Blue | $$14$$ |
| Green | $$19$$ |
| Yellow | $$10$$ |
How many students were surveyed in total?
A) $$58$$
B) $$59$$
C) $$60$$
D) $$61$$
Answer: $$60$$
Useful Formula for this Question
$$\text{Total Observations}=\text{Sum of all Frequencies}$$
Concept Behind This Question
Students should calculate the total frequency from the table.
Step-by-Step Solution
$$17+14+19+10$$
$$=60$$
Therefore, the correct answer is:
$$60$$
Exam Tip
To find the total number of observations, add all the frequencies carefully.
Q2. In a pictograph,
1 🚌 = 10 buses
How many symbols are needed to represent 75 buses?
A) $$7$$
B) $$7\frac{1}{2}$$
C) $$8$$
D) $$8\frac{1}{2}$$
Answer: $$7\frac{1}{2}$$
Useful Formula for this Question
$$\text{Number of Symbols}=\frac{\text{Total Items}}{\text{Value of One Symbol}}$$
Concept Behind This Question
Students should apply the pictograph key correctly.
Step-by-Step Solution
One symbol represents
$$10$$ buses.
Required symbols
$$=\frac{75}{10}=7.5$$
Hence,
$$7$$ complete symbols and one half-symbol are required.
Therefore, the correct answer is:
$$7\frac{1}{2}$$
Exam Tip
A half-symbol is used only when permitted by the key.
Q3. The number of storybooks borrowed from a library during one week is shown below.
| Day | Books Borrowed |
| Monday | $$24$$ |
| Tuesday | $$28$$ |
| Wednesday | $$31$$ |
| Thursday | $$27$$ |
How many books were borrowed on Tuesday and Thursday together?
A) $$53$$
B) $$54$$
C) $$55$$
D) $$56$$
Answer: $$55$$
Useful Formula for this Question
$$\text{Combined Total}=\text{First Value}+\text{Second Value}$$
Concept Behind This Question
Students should combine two values from the given data.
Step-by-Step Solution
Tuesday
$$28$$
Thursday
$$27$$
Combined total
$$28+27=55$$
Therefore, the correct answer is:
$$55$$
Exam Tip
Read the values carefully before adding.
Q4. Which one of the following statements is correct?
A) Frequency may be a negative number.
B) Every pictograph should include a key.
C) Bar graphs can be drawn without organizing data.
D) Raw data is always shown in alphabetical order.
Answer: Every pictograph should include a key.
Useful Concept for this Question
A key explains the value represented by each symbol in a pictograph.
Concept Behind This Question
Students should identify the correct concept related to pictographs.
Step-by-Step Solution
- Frequency cannot be negative.
- A pictograph always needs a key.
- Raw data should first be organized.
- Raw data is not necessarily alphabetical.
Therefore, the correct answer is:
Every pictograph should include a key.
Exam Tip
Never interpret a pictograph without checking its key.
Q5. The frequencies of four fruits are:
Apple = $$15$$
Banana = $$21$$
Orange = $$18$$
Mango = $$21$$
Which statement is correct?
A) Apple has the highest frequency.
B) Banana alone has the highest frequency.
C) Banana and Mango have the same highest frequency.
D) Orange has the lowest frequency.
Answer: Banana and Mango have the same highest frequency.
Useful Concept for this Question
Two or more observations may have the same highest frequency.
Concept Behind This Question
Students should compare all frequencies before answering.
Step-by-Step Solution
Apple = $$15$$
Banana = $$21$$
Orange = $$18$$
Mango = $$21$$
The highest frequency is
$$21$$
Both Banana and Mango have this frequency.
Therefore, the correct answer is:
Banana and Mango have the same highest frequency.
Exam Tip
Check all values carefully because more than one observation can share the highest frequency.
Important Formulas & Concepts
1. Total Observations
$$\text{Total Observations}=\text{Sum of all Frequencies}$$
2. Frequency
Frequency = Number of times an observation occurs
3. Pictograph Formula
$$\text{Number of Symbols}=\frac{\text{Total Items}}{\text{Value of One Symbol}}$$
4. Combined Total
$$\text{Combined Total}=\text{First Value}+\text{Second Value}$$
5. Properties of a Bar Graph
- Bars should have equal width.
- Equal spacing should be maintained.
- The height of each bar represents the corresponding value or frequency.
- Categories are shown on the horizontal (X) axis.
FAQs
1. How do we calculate the total number of observations?
Add all the frequencies together.
2. Can two observations have the same highest frequency?
Yes. This is possible when both have equal maximum frequency.
3. Why is a key necessary in a pictograph?
It tells the value represented by each symbol.
4. What does the height of a bar represent?
It represents the value or frequency.
5. Why should a frequency never be negative?
Because frequency represents the number of occurrences, which cannot be less than zero.
Common Mistakes
❌ Forgetting to compare all frequencies.
❌ Ignoring the pictograph key.
❌ Adding incorrect values from the table.
❌ Assuming only one observation can have the highest frequency.
❌ Confusing raw data with organized data.
Quick Revision Notes
✔ Total observations = Sum of all frequencies.
✔ Frequency can never be negative.
✔ Always check the key in a pictograph.
✔ Two observations may have the same highest frequency.
✔ Bar graphs are used to compare categories.
✔ Bars should have equal width and spacing.
✔ Organized data is easier to interpret than raw data.
Conclusion
Data Handling helps students organize and analyze information in a logical and systematic manner. A strong understanding of frequency tables, pictographs, and bar graphs improves analytical thinking and problem-solving skills. Regular practice with moderate-to-difficult MCQs builds confidence and prepares students for CBSE, State Board, Olympiad, and scholarship examinations.
Related links
- Class 7 Maths Chapter 3 Data Handling part-9
- Class 7 Maths Chapter 3 Data Handling part-8
- Class 7 Maths Chapter 3 Data Handling, pictographs part-7
- Class 7 Maths Chapter 3 Data Handling part-6
- Class 7 Maths Chapter 3 Data Handling part-5
- Class 7 Maths Chapter 3 Data Handling part-4
- Class 7 Maths Chapter 3 Data Handling, graph reading part-3
- Class 7 Maths Chapter 3 Data Handling, data collection
- Class7 Maths Chapter2 Fractions, Decimals, multiplication MCQ – Part 4
- Class 7 Maths Chapter2 Fractions and Decimals all topic MCQ -Part 3
- Class 7 Maths Chapter 2 Fractions and Decimals MCQ – Part 2
Latest Posts
- Class 9 Maths Chapter 4 Linear Equations in Two Variables
- Class 7 Maths Chapter 4 Simple Equations
- Class 8 Maths Chapter 4 Practical Geometry
- Class 10 Maths Chapter 4 Quadratic Equations
- Class 9 Science Chapter 1 Matter in Our Surroundings
Join Our Other Communities
Instagram , Youtube , Facebook
