Data Handling Class 8 Most Important Concepts And MCQs

Data Handling (Class 8 Mathematics)

Table of Contents

1. Introduction to Data Handling
2. What is Data?
3. Types of Data
4. Collection of Data
5. Organization of Data
6. Frequency Distribution Table
7. Grouping of Data
8. Pictograph
9. Bar Graph
10. Double Bar Graph
11. Pie Chart
12. Probability
13. Important Formulae
14. Key Points
15. Abbreviations
16. NCERT Based Questions
17. Multiple Choice Questions (MCQs)
18. HOTS Questions
19. Exam Tips
20. Readers Challenge

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1. Introduction to Data Handling

English

In our daily life, we collect information about marks, temperature, rainfall, population, sports scores, etc. Such information is called Data. The process of collecting, organizing, representing, and interpreting data is known as Data Handling. ( Data Handling Class 8 )

हिंदी

हम अपने दैनिक जीवन में अंक, तापमान, जनसंख्या, खेल स्कोर, वर्षा आदि से संबंधित जानकारी एकत्र करते हैं। इस जानकारी को Data (आंकड़े) कहते हैं। इन आंकड़ों को एकत्रित करना, व्यवस्थित करना, प्रस्तुत करना तथा उनका विश्लेषण करना Data Handling कहलाता है।

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2. What is Data?

Definition

A collection of facts, figures, observations, or measurements is called Data.

Example

Marks of students:

12, 15, 18, 20, 15, 12, 10, 18

This set of numbers is called Data.

हिंदी में

तथ्यों एवं संख्याओं के संग्रह को Data कहते हैं।

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3. Types of Data

(A) Raw Data

Data collected in its original form.

Example

20, 15, 25, 18, 10, 15

यह असंगठित डेटा है।

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(B) Organized Data

Data arranged in ascending or descending order.

Example

10, 15, 15, 18, 20, 25

यह व्यवस्थित डेटा है।

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4. Collection of Data

Data can be collected through:

• Observation
• Survey
• Interview
• Questionnaire
• Experiments

Example

Teacher asks students about their favorite sports.

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5. Organization of Data

Organizing data makes it easier to understand and analyze.

Example

Favorite Fruit of Students

Fruit	Number of Students
Mango	10
Apple	8
Banana	6
Orange	4

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6. Frequency Distribution Table

The number of times an observation occurs is called Frequency.

Example

Marks of students:

20, 15, 18, 20, 15, 20, 10, 18

Marks	Frequency
10	1
15	2
18	2
20	3

Hindi

किसी मान के आने की संख्या Frequency कहलाती है।

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7. Grouping of Data

When data becomes very large, it is grouped into class intervals.

Example

Marks	Frequency
0-10	5
10-20	8
20-30	10
30-40	6

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8. Pictograph

A pictograph uses pictures or symbols to represent data.

Example

🌟 = 2 Students

Sport	Students
Cricket	🌟🌟🌟🌟
Football	🌟🌟🌟
Hockey	🌟🌟

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Advantages

• Easy to understand
• Attractive presentation
• Useful for beginners

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9. Bar Graph

A bar graph represents data using bars of equal width.

Example

Number of books read

Student	Books
A	5
B	8
C	4
D	10

Features

• Equal width bars
• Equal spacing
• Vertical or horizontal

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10. Double Bar Graph

Used to compare two sets of data.

Example

Comparison of boys and girls.

Class	Boys	Girls
VI	25	20
VII	30	28
VIII	35	32

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Uses

• Comparison
• Statistical analysis
• School surveys

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11. Pie Chart

A pie chart represents data in the form of sectors of a circle.

Formula

$$\text{Central Angle} = \frac{\text{Value}}{\text{Total}} \times 360^\circ$$Central Angle=TotalValue​×360∘

Example

Total students = 100

Cricket = 40

Angle:$$\frac{40}{100}\times360=144^\circ$$10040​×360=144∘

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Advantages

• Easy comparison
• Attractive representation
• Shows proportions clearly

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12. Probability

Probability tells how likely an event is to occur.

Formula

$$P(E)=\frac{\text{Number of favourable outcomes}}{\text{Total outcomes}}$$P(E)=Total outcomesNumber of favourable outcomes​

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Example 1

A coin is tossed.

Possible outcomes:

H, T$$P(H)=\frac{1}{2}$$P(H)=21​

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Example 2

A die is rolled.

Probability of getting 3$$P(3)=\frac{1}{6}$$P(3)=61​

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Important Facts ( Data Handling Class 8 )

Impossible Event

Probability = 0

Certain Event

Probability = 1

Range

$$0 \le P(E) \le 1$$0≤P(E)≤1

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Important Formulae

Topic	Formula
Probability	Favourable Outcomes / Total Outcomes
Pie Chart Angle	Value ÷ Total × 360°
Frequency	Number of Occurrences

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Abbreviations

Abbreviation	Full Form
P(E)	Probability of Event
F	Frequency
D.H.	Data Handling
C.I.	Class Interval
O.D.	Organized Data

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Key Points for Revision ( Data Handling Class 8 )

• Data means collection of facts
• Frequency means number of occurrences.
• .Pictographs use symbols.
• Bar graphs use bars.
• Double bar graphs compare two datasets.
• Pie charts use sectors of a circle.
• Probability lies between 0 and 1.
• Impossible event = 0.
• Certain event = 1.
• Probability Formula:
• $$P(E)=\frac{\text{Favourable Outcomes}}{\text{Total Outcomes}}$$P(E)=Total OutcomesFavourable Outcomes​

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NCERT Based Questions ( Data Handling Class 8 )

Q1. What is frequency?

Answer

The number of times an observation occurs is called frequency.

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Q2. Why do we organize data?

Answer

To understand and analyze it easily.

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Q3. What is a bar graph?

Answer

A graphical representation of data using bars of equal width.

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Q4. What is probability?

Answer

Probability measures the chance of occurrence of an event.

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Q5. Find probability of getting even number on a die.

Solution

Even numbers:

2, 4, 6

Favourable outcomes = 3

Total outcomes = 6$$P(E)=\frac{3}{6}=\frac{1}{2}$$P(E)=63​=21​

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MCQs (Most Important) ( Data Handling Class 8 )

1. Frequency means:

A) Data collection

B) Number of occurrences

C) Graph

D) Probability

✅ Answer: B

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2. Which graph uses bars?

A) Pie Chart

B) Pictograph

C) Bar Graph

D) Circle

✅ Answer: C

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3. Probability of impossible event?

A) 1

B) 0

C) 2

D) 1/2

✅ Answer: B

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4. Total angle in pie chart?

A) 180°

B) 90°

C) 270°

D) 360°

✅ Answer: D

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5. Probability of getting head on a coin?

A) 1

B) 0

C) 1/2

D) 1/3

✅ Answer: C

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6. Double bar graph is used for:

A) Decoration

B) Comparison

C) Addition

D) Multiplication

✅ Answer: B

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7. Frequency distribution table shows:

A) Colors

B) Symbols

C) Occurrences

D) Angles

✅ Answer: C

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8. Which is not a graph?

A) Bar Graph

B) Pie Chart

C) Double Bar Graph

D) Multiplication Table

✅ Answer: D

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9. Probability always lies between:

A) 0 and 1

B) 1 and 2

C) 2 and 3

D) 3 and 4

✅ Answer: A

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10. Data in original form is:

A) Organized Data

B) Raw Data

C) Graph

D) Chart

✅ Answer: B

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HOTS Questions ( Data Handling Class 8 )

Q1

A box contains 5 red, 3 blue, and 2 green balls. Find probability of selecting a blue ball.

Solution

Total balls = 10

Blue balls = 3$$P(Blue)=\frac{3}{10}$$P(Blue)=103​

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Q2

A die is rolled. Find probability of getting a prime number.

Prime numbers:

2, 3, 5$$P=\frac{3}{6}=\frac{1}{2}$$P=63​=21​

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Q3

A survey of 100 students shows:

Cricket = 40

Football = 30

Hockey = 20

Others = 10

Find angle for Hockey sector.$$\frac{20}{100}\times360=72^\circ$$10020​×360=72∘

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Q4

Can probability be greater than 1?

Answer

No. Probability always lies between 0 and 1.

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Q5

Explain why a pie chart is useful.

Answer

It shows proportions clearly and makes comparison easy.

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Exam-Oriented Tips ( Data Handling Class 8 )

CBSE Important Areas

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Common Mistake

• Wrong scale in graph
• Incorrect frequency counting
• Pie chart angle calculation error
• Probability numerator and denominator confusion

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Quick Revision One-Liner

• Data = Collection of information
• Frequency = Number of times data occurs
• Pictograph = Symbols
• Bar Graph = Bars
• Pie Chart = Circle sectors
• Probability = Chance of occurrence
• Impossible Event = 0
• Certain Event = 1

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Readers Challenge ⭐

नीचे दिए गए 5 प्रश्नों को हल करके हमें भेजिए। सही उत्तर भेजने वाले विद्यार्थियों का Name & Location हमारी वेबसाइट www.risingstarmindset.com पर प्रदर्शित किया जाएगा।

Question 1

A coin is tossed once. Find the probability of getting Head.

Question 2

A die is rolled. Find the probability of getting an odd number.

Question 3

In a class, 15 students like Cricket, 10 like Football and 5 like Hockey. Find the central angle for Cricket in a pie chart.

Question 4

Prepare a frequency table for:

5, 7, 5, 8, 9, 7, 5, 8, 7, 5

Question 5

A bag contains 4 red balls and 6 blue balls. Find the probability of selecting a red ball.

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Conclusion

Data Handling is an important chapter of Class 8 Mathematics that teaches students how to collect, organize, represent, and interpret data. Understanding Frequency Distribution, Bar Graphs, Pie Charts, and Probability helps students solve real-life problems and builds a strong foundation for higher mathematics, statistics, and competitive examinations.

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