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Practice Class 7 Maths Chapter 3 Data Handling MCQ Questions with Answers based on the latest NCERT syllabus. Solve moderate to difficult MCQs on tally marks, frequency tables, pictographs, bar graphs, and data interpretation with detailed step-by-step solutions. Best for CBSE, State Board, Olympiad, and scholarship exam preparation.
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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 is an important branch of Mathematics that enables students to collect, organize, represent, and interpret information effectively. This chapter develops logical thinking by helping students analyze data through frequency tables, pictographs, and bar graphs.
What You Will Learn?
✔ Organizing raw data
✔ Frequency tables
✔ Tally marks
✔ Reading and interpreting pictographs
✔ Bar graph analysis
✔ Comparing multiple data sets
✔ Solving application-based questions
Why This Topic Is Important?
Data Handling is used in surveys, scientific research, education, banking, business, sports statistics, and weather forecasting. Understanding this chapter helps students interpret information correctly and make logical decisions.
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 frequency table shows the frequencies of four colours as 12, 9, 15, and 14. What is the total number of observations?
A) $$48$$
B) $$49$$
C) $$50$$
D) $$51$$
Answer: $$50$$
Useful Formula for this Question
$$\text{Total Observations}=\text{Sum of all Frequencies}$$
Concept Behind This Question
Students should know that the total number of observations is obtained by adding all frequencies.
Step-by-Step Solution
Total observations
$$12+9+15+14$$
$$=50$$
Therefore, the correct answer is:
$$50$$
Exam Tip
Add every frequency only once.
Q2. In a pictograph, one symbol represents 6 bicycles. If 27 bicycles are shown, how many complete symbols and half-symbols are required?
A) $$4\frac{1}{2}$$ symbols
B) $$5$$ symbols
C) $$3\frac{1}{2}$$ symbols
D) $$6$$ symbols
Answer: $$4\frac{1}{2}$$ symbols
Useful Formula for this Question
$$\text{Number of Symbols}=\frac{\text{Total Items}}{\text{Value of One Symbol}}$$
Concept Behind This Question
Students should understand the use of half-symbols in pictographs.
Step-by-Step Solution
One symbol represents
$$6$$ bicycles.
Required symbols
$$=\frac{27}{6}=4.5$$
So,
$$4$$ complete symbols and one half-symbol are required.
Therefore, the correct answer is:
$$4\frac{1}{2}$$ symbols.
Exam Tip
When the division is not exact, a half-symbol may be used if the key allows.
Q3. A bar graph shows the number of books read by four students:
Rahul = $$18$$
Anita = $$24$$
Karan = $$21$$
Pooja = $$15$$
How many more books did Anita read than Pooja?
A) $$7$$
B) $$8$$
C) $$9$$
D) $$10$$
Answer: $$9$$
Useful Formula for this Question
$$\text{Difference}=\text{Larger Value}-\text{Smaller Value}$$
Concept Behind This Question
Students should compare values represented in a bar graph.
Step-by-Step Solution
Books read by Anita
$$24$$
Books read by Pooja
$$15$$
Difference
$$24-15=9$$
Therefore, the correct answer is:
$$9$$
Exam Tip
Read the graph carefully before subtracting the values.
Q4. Which statement is always true about a frequency table?
A) The sum of all frequencies gives the total number of observations.
B) Frequency is always greater than $$10$$.
C) Every observation has the same frequency.
D) Frequencies can never be zero.
Answer: The sum of all frequencies gives the total number of observations.
Useful Concept for this Question
Adding all frequencies gives the total number of data values.
Concept Behind This Question
Students should understand the relationship between frequencies and total observations.
Step-by-Step Solution
The total number of observations is found by adding every frequency in the table.
The other statements are not always true.
Therefore, the correct answer is:
The sum of all frequencies gives the total number of observations.
Exam Tip
This is one of the most frequently asked conceptual questions.
Q5. A survey of favourite fruits gives the following frequencies:
Apple = $$14$$
Mango = $$18$$
Banana = $$11$$
Orange = $$7$$
Which statement is correct?
A) Banana is the most popular fruit.
B) Orange is liked more than Apple.
C) Mango has the highest frequency.
D) Apple and Mango have equal frequencies.
Answer: Mango has the highest frequency.
Useful Concept for this Question
The highest frequency represents the most common observation.
Concept Behind This Question
Students should identify the observation with the greatest frequency.
Step-by-Step Solution
Comparing the frequencies:
Apple = $$14$$
Mango = $$18$$
Banana = $$11$$
Orange = $$7$$
The largest frequency is
$$18$$
Therefore, the correct answer is:
Mango has the highest frequency.
Exam Tip
Always compare every frequency before selecting the highest one.
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
$$\text{Number of Symbols}=\frac{\text{Total Items}}{\text{Value of One Symbol}}$$
4. Difference Between Two Values
$$\text{Difference}=\text{Larger Value}-\text{Smaller Value}$$
5. Bar Graph
- Equal-width bars
- Equal spacing
- Height represents frequency or value
FAQs
1. How do we find the total number of observations?
Add all the frequencies.
2. Can a pictograph contain half-symbols?
Yes, if the key allows it.
3. What does the highest frequency indicate?
It represents the most common observation.
4. Why do we use a bar graph?
To compare values from different categories.
5. What is the difference between raw data and a frequency table?
Raw data is unorganized, while a frequency table organizes the data systematically.
Common Mistakes
❌ Forgetting to add all frequencies.
❌ Ignoring the pictograph key.
❌ Comparing incorrect graph values.
❌ Assuming the first observation has the highest frequency.
❌ Making subtraction mistakes while comparing data.
Quick Revision Notes
✔ Total observations = Sum of all frequencies.
✔ Frequency means the number of occurrences.
✔ Half-symbols may be used in pictographs.
✔ Compare graph values carefully.
✔ Highest frequency indicates the most common observation.
✔ Equal-width bars improve graph accuracy.
✔ Always read the graph scale and key before answering.
Conclusion
Data Handling develops students’ ability to organize, analyze, and interpret information logically. Questions involving frequency tables, pictographs, and bar graphs strengthen analytical thinking and improve decision-making skills. Practising moderate-to-difficult MCQs prepares students for CBSE, State Board, Olympiad, and scholarship examinations while building a strong mathematical foundation.
Related links
- 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 part-2
- Class 7 Maths Chapter 3 Data Handling part-1
- Class 7 Maths Chapter 3 Data Handling, data collection
- Class 7 Maths Chapter 2 Fractions and Decimals
- Class 7 Maths Chapter 2 Fractions and Decimals
- Class 7 Maths Chapter 2 Fractions and Decimals
- 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
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