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Practice Class 7 Maths Chapter 3 Data Handling MCQ Questions with Answers based on the latest NCERT syllabus. Solve challenging MCQs on tally marks, frequency tables, pictographs, bar graphs, and data interpretation with detailed step-by-step solutions. Ideal 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 organize and interpret information collected from different sources. This chapter focuses on frequency tables, pictographs, and bar graphs, enabling students to analyze data accurately and solve practical problems encountered in daily life.
What You Will Learn?
✔ Collecting and organizing data
✔ Frequency tables
✔ Tally marks
✔ Reading pictographs
✔ Interpreting bar graphs
✔ Comparing observations
✔ Solving real-life data problems
Why This Topic Is Important?
Data Handling is useful in schools, hospitals, businesses, sports events, weather forecasting, surveys, and research. It helps students understand information presented in tables and graphs, improving analytical and reasoning skills.
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 survey records the number of students travelling to school by different modes.
| Mode of Transport | Frequency |
| Bus | $$22$$ |
| Bicycle | $$16$$ |
| Walking | $$14$$ |
| Car | $$8$$ |
How many students were surveyed altogether?
A) $$58$$
B) $$60$$
C) $$62$$
D) $$64$$
Answer: $$60$$
Useful Formula for this Question
$$\text{Total Observations}=\text{Sum of all Frequencies}$$
Concept Behind This Question
Students should calculate the total number of observations from a frequency table.
Step-by-Step Solution
$$22+16+14+8$$
$$=60$$
Therefore, the correct answer is:
$$60$$
Exam Tip
Always add every frequency exactly once.
Q2. In a pictograph,
1 📘 = 15 books
How many books are represented by 8 symbols?
A) $$110$$
B) $$115$$
C) $$120$$
D) $$125$$
Answer: $$120$$
Useful Formula for this Question
$$\text{Total Items}=\text{Number of Symbols}\times\text{Value of One Symbol}$$
Concept Behind This Question
Students should multiply the number of symbols by the value given in the key.
Step-by-Step Solution
One symbol represents
$$15$$ books.
Number of symbols
$$=8$$
Total books
$$8\times15=120$$
Therefore, the correct answer is:
$$120$$
Exam Tip
When the number of symbols is given, multiply by the key value.
Q3. A bar graph shows the number of plants planted by four groups.
Group A = $$45$$
Group B = $$38$$
Group C = $$42$$
Group D = $$35$$
How many fewer plants did Group D plant than Group A?
A) $$8$$
B) $$9$$
C) $$10$$
D) $$11$$
Answer: $$10$$
Useful Formula for this Question
$$\text{Difference}=\text{Greater Value}-\text{Smaller Value}$$
Concept Behind This Question
Students should compare two values from a bar graph.
Step-by-Step Solution
Plants planted by Group A
$$45$$
Plants planted by Group D
$$35$$
Difference
$$45-35=10$$
Therefore, the correct answer is:
$$10$$
Exam Tip
Read the graph carefully before subtracting the values.
Q4. Which one of the following statements is always true?
A) The total frequency is equal to the total number of observations.
B) Every pictograph uses only full symbols.
C) Raw data is always arranged in increasing order.
D) All categories in a survey have the same frequency.
Answer: The total frequency is equal to the total number of observations.
Useful Concept for this Question
The sum of all frequencies represents the total number of observations.
Concept Behind This Question
Students should identify the correct concept related to frequency tables.
Step-by-Step Solution
The total frequency tells us how many observations were recorded in the survey.
The other statements are not always true.
Therefore, the correct answer is:
The total frequency is equal to the total number of observations.
Exam Tip
Whenever you need the total number of observations, add all the frequencies.
Q5. The following frequencies show the favourite beverages of students.
| Beverage | Frequency |
| Milk | $$18$$ |
| Juice | $$24$$ |
| Lemon Water | $$15$$ |
| Coconut Water | $$9$$ |
What is the difference between the highest and lowest frequencies?
A) $$12$$
B) $$14$$
C) $$15$$
D) $$16$$
Answer: $$15$$
Useful Formula for this Question
$$\text{Difference}=\text{Highest Frequency}-\text{Lowest Frequency}$$
Concept Behind This Question
Students should identify the highest and lowest frequencies before calculating the difference.
Step-by-Step Solution
Highest frequency
$$24$$
Lowest frequency
$$9$$
Difference
$$24-9=15$$
Therefore, the correct answer is:
$$15$$
Exam Tip
Always identify the highest and lowest values before subtracting.
Important Formulas & Concepts
1. Total Number of Observations
$$\text{Total Observations}=\text{Sum of all Frequencies}$$
2. Frequency
Frequency = Number of times an observation occurs
3. Pictograph Formula
$$\text{Total Items}=\text{Number of Symbols}\times\text{Value of One Symbol}$$
4. Difference Between Frequencies
$$\text{Difference}=\text{Highest Frequency}-\text{Lowest Frequency}$$
5. Properties of a Bar Graph
- Bars have equal width.
- Equal spacing should be maintained.
- The height of each bar represents the corresponding frequency or value.
- Categories are shown on the horizontal axis.
FAQs
1. How do you find the total number of observations?
Add all the frequencies together.
2. What does the highest frequency represent?
It represents the most common observation.
3. Can a pictograph contain half-symbols?
Yes, if the key permits their use.
4. Why should all bars in a bar graph have equal width?
To make comparisons accurate and fair.
5. What is the purpose of a frequency table?
It organizes raw data into a simple and understandable form.
Common Mistakes
❌ Forgetting to add all frequencies.
❌ Using the wrong key in a pictograph.
❌ Comparing incorrect graph values.
❌ Ignoring the highest or lowest frequency.
❌ Drawing bars with unequal widths.
Quick Revision Notes
✔ Total observations = Sum of all frequencies.
✔ Frequency tells how many times an observation occurs.
✔ Multiply symbols by the key value in a pictograph.
✔ Compare highest and lowest frequencies carefully.
✔ Equal-width bars are necessary in a bar graph.
✔ Organize raw data before representing it graphically.
✔ Data Handling is widely used in real-life surveys and reports.
Conclusion
Data Handling is a practical chapter that helps students organize, compare, and interpret information efficiently. Mastering frequency tables, pictographs, and bar graphs strengthens logical reasoning and analytical skills. Regular practice with higher-level MCQs improves confidence and prepares students for CBSE, State Board, Olympiad, and scholarship examinations.
Related links
- Class 7 English Chapter 1 The Rainbow
- Class 7 Social Science Chapter 1 Tracing Changes Through a Thousand Years
- Class 7 Science Chapter 1 Nutrition in Plants
- Class 7 Maths Chapter 3 Data Handling part-10
- 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 2 Fractions and Decimals MCQ – Part 2
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