Table of Contents
In this chapter of Class 8 Maths, we’ll learn all about Data Handling. Data handling is a way to collect, organize, and analyze information. It’s an important skill to have in everyday life and in many jobs. We’ll start by learning how to collect data through surveys and experiments. Then, we’ll organize the data into tables and graphs, like bar graphs, pie charts, and line graphs. This helps us understand the information better.
Next, we’ll learn how to analyze the data and find the average, median, and mode. These are special numbers that describe the data. We’ll also learn how to interpret the graphs and tables to answer questions. By the end of this chapter, you’ll be able to collect, organize, and analyze data like a pro! This is a valuable skill that will help you in school and in the future. Let’s dive in and start learning about data handling in Class 8!
If you need extra practice, be sure to check out the Data Handling class 8 worksheets and NCERT solutions for Maths Class 8 Chapter 5. These resources will help you master the concepts and get ready for your exams. Remember, the CBSE Syllabus for class 8 covers this chapter, so it’s important to understand it well.
With the right guidance and practice, you’ll be a data handling expert in no time! Let’s get started on this exciting journey of learning about data handling in Class 8.
NCERT Solutions for Class 8 Maths Chapter 5- Data Handling PDF
In Class 8 Maths, we’ll learn all about data handling in Chapter 5. Data handling is a way to collect, organize, and analyze information. It’s an important skill to have in everyday life and in many jobs. We’ll start by learning how to collect data through surveys and experiments. Then, we’ll organize the data into tables and graphs.
By the end of this chapter, you’ll be able to collect, organize, and analyze data like a pro! This is a valuable skill that will help you in school and in the future. Let’s dive in and start learning about data handling in Class 8! Be sure to check out the NCERT Solutions for Class 8 Maths and the CBSE Syllabus for class 8 to master the concepts.
Data Handling Class 8 Questions with Answers
Ques: What is the mean of the following data: 5, 7, 9, 11, 13?
Ans: To find the mean, add all the values and divide by the total number of values.
Mean = (5 + 7 + 9 + 11 + 13) / 5
= 45 / 5
= 9
Ques: What is the median of the following data: 8, 12, 5, 9, 7, 11?
Ans: To find the median, first arrange the data in ascending order:
5, 7, 8, 9, 11, 12
Since there are 6 values, the median is the average of the 3rd and 4th values.
Median = (8 + 9) / 2 = 17 / 2 = 8.5
Ques: What is the mode of the following data: 4, 7, 9, 4, 6, 7, 4?
Ans: The mode is the value that appears most frequently in the data.
In this case, 4 appears 3 times, which is the highest frequency.
Therefore, the mode is 4.
Ques: Find the range of the following data: 15, 20, 25, 30, 35.
Ans: The range is the difference between the highest and lowest values in the data.
Range = Highest value – Lowest value
= 35 – 15
= 20
Ques: Find the mean of the following data: 12, 15, 18, 21, 24.
Ans: Mean = (12 + 15 + 18 + 21 + 24) / 5
= 90 / 5
= 18
Ques: Find the median of the following data: 6, 9, 3, 12, 15.
Ans: Arranging the data in ascending order:
3, 6, 9, 12, 15
Since there are 5 values, the median is the 3rd value.
Median = 9
Ques: Find the mode of the following data: 8, 12, 8, 15, 8, 12.
Ans: The mode is 8 since it appears 3 times, which is the highest frequency.
Ques: Find the range of the following data: 25, 30, 35, 40, 45.
Ans: Range = 45 – 25 = 20
Ques: Find the mean of the following data: 18, 22, 26, 30, 34.
Ans: Mean = (18 + 22 + 26 + 30 + 34) / 5
= 130 / 5
= 26
Ques: Find the median of the following data: 9, 15, 12, 18, 21.
Ans: Arranging the data in ascending order:
9, 12, 15, 18, 21
Since there are 5 values, the median is the 3rd value.
Median = 15
Ques: Find the mode of the following data: 6, 9, 6, 12, 6, 9.
Ans: The mode is 6 since it appears 3 times, which is the highest frequency.
Ques: Find the range of the following data: 20, 25, 30, 35, 40.
Ans: Range = 40 – 20 = 20
Ques: Find the mean of the following data: 14, 18, 22, 26, 30.
Ans: Mean = (14 + 18 + 22 + 26 + 30) / 5
= 110 / 5
= 22
Ques: Find the median of the following data: 7, 11, 15, 19, 23.
Ans: Arranging the data in ascending order:
7, 11, 15, 19, 23
Since there are 5 values, the median is the 3rd value.
Median = 15
Ques: Find the mode of the following data: 5, 8, 5, 11, 5, 8.
Ans: The mode is 5 since it appears 3 times, which is the highest frequency.
Ques: Find the range of the following data: 18, 22, 26, 30, 34.
Ans: Range = 34 – 18 = 16
Ques: Find the mean of the following data: 10, 14, 18, 22, 26.
Ans: Mean = (10 + 14 + 18 + 22 + 26) / 5
= 90 / 5
= 18
Ques: Find the median of the following data: 5, 9, 13, 17, 21.
Ans: Arranging the data in ascending order:
5, 9, 13, 17, 21
Since there are 5 values, the median is the 3rd value.
Median = 13
Ques: Find the mode of the following data: 7, 11, 7, 15, 7, 11.
Ans: The mode is 7 since it appears 3 times, which is the highest frequency.
Ques: Find the range of the following data: 16, 20, 24, 28, 32.
Ans: Range = 32 – 16 = 16
NCERT Solutions for Class 8 Maths: Chapter 5 Data Handling
Solving these NCERT Solutions is very important for the CBSE Syllabus board exam. Data Handling is a chapter that deals with concepts commonly used in daily life. It includes different ideas related to Data Handling. Let’s look at some of them.
- Raw data is the information available to us in an unorganized form. To draw meaningful conclusions from any data, we need to organize it systematically.
- Frequency tells us how many times a particular entry appears. Raw data can be ‘grouped’ and presented systematically through ‘grouped frequency distribution’.
- Grouped data can be shown using a histogram. A histogram is a type of bar graph, where the class intervals are shown on the horizontal axis, and the heights of the bars show the frequency of the class interval. There are no gaps between the bars, just like there are no gaps between the class intervals.
- Data can also be presented using a circle graph or pie chart. A circle graph shows the relationship between a whole and its parts.
- Some experiments have outcomes with an equal chance of occurring. A random experiment is one whose result cannot be predicted exactly in advance.
- Outcomes of an experiment are equally likely if each has the same chance of occurring. Probability of an event = Number of outcomes that make an event / Total number of outcomes of the experiment, when the outcomes are equally likely.
- One or more outcomes of an experiment make an event. Chances and probability are related to real life.
- By solving these NCERT Solutions, you can better understand the concepts of Data Handling and apply them in your daily life and exams.
CBSE Syllabus for Class 8 | |
CBSE Class 8 Science Syllabus | CBSE Class 8 Information Technology Syllabus |
CBSE Class 8 Social Science Syllabus | CBSE Class 8 Maths Syllabus |
CBSE Class 8 Hindi Syllabus | CBSE Class 8 English Syllabus |
Main topics covered in this chapter include:
- 5.1 Looking for Information
- 5.2 Organising Data
- 5.3 Grouping Data
- 5.3.1 Bars with a difference
- 5.4 Circle Graph or Pie Chart
- 5.4.1 Drawing pie charts
- 5.5 Chance and Probability
- 5.5.1 Getting a result
- 5.5.2 Equally likely outcomes
- 5.5.3 Linking chances to probability
- 5.5.4 Outcomes as events
- 5.5.5 Chances and Probability related to real life.
- 5 Questions (5 Short Answer Questions)
- 5 Questions (3 Long Answer Questions and 2 Short Answer Questions)
- 6 Questions (2 Long Answer Questions and 4 Short Answer Questions)
NCERT Solutions for Class 8 Maths Chapter 5 Data Handling
In this chapter, students learn about data and how to represent it using different types of graphs. Data is the information we collect in our daily lives. Graphical representation helps us understand the data clearly.Some common types of graphs used in this chapter are:
- Pictograph
- Bar graph
- Double bar graph
- Pie charts
The chapter also covers how to organize and group data using a frequency distribution table. Students also learn about the concept of probability.
Key Learnings from Class 8 Maths Chapter 5 Data Handling
- Reading and interpreting bar graphs, arranging ungrouped data into groups, and constructing bar graphs.
- Creating and understanding simple pie charts with reasonable data numbers.
- Consolidating the idea of chance in events like tossing coins and dice, and relating it to real-life situations.
- Visually representing the frequency outcomes of repeated coin or dice throws.
- Combining the results of many identical dice or coin throws to get a large number of individual events.
- Observing how the aggregated numbers change over many repeated events.
- Comparing data for a coin toss.
- Understanding the concept of randomness by observing strings of throws.
By studying this chapter, students develop essential skills in data representation, organization, and probability, which are crucial for problem-solving and decision-making in various fields.
More Resources – NCERT Solutions for Class 8 | |
NCERT Solutions for Class 8 Science | NCERT Solutions for Class 8 Social Science |
NCERT Solutions for Class 8 English | NCERT Solutions for Class 8 Maths |
Class 8 Maths Chapter 5 Data Handling FAQs
Where can I get the accurate solution for NCERT Solution of this chapter?
At INFINITE LEARN you can get PDF of accurate solutions of this chapter. The NCERT Textbook Solutions for this chapter have been formulated by mathematics experts at INFINITE LEARN. All these solutions are accordance to the new pattern of CBSE, so the students can be ready for the exams.
Is it necessary to solve each problem provided in the NCERT Solution of this chapter?
Yes. As these questions seem to be important for exam. These questions are solved by subject matter experts for helping students to crack these exercises easily. These solutions give students knowledge about data handling. Solutions can be downloaded in PDF format on INFINITE LEARN website.
Why are NCERT Solutions Class 8 Maths Chapter 5 Important?
NCERT Solutions for Class 8 Maths Chapter 5 Data Handling are crucial as they help students understand and master the concepts related to data handling. This chapter lays the foundation for statistical analysis and interpretation, which are essential skills in various fields.
Do I Need to Practice all Questions Provided in NCERT Solutions Class 8 Maths Data Handling?
While practicing all questions in NCERT Solutions for Class 8 Maths Chapter 5 is beneficial, focusing on understanding the key concepts and solving a variety of problems can also be effective. It's essential to practice a mix of different types of questions to strengthen your grasp on the topic.
What are the Important Topics Covered in Class 8 Maths NCERT Solutions Chapter 5?
In Class 8 Maths Chapter 5 Data Handling, important topics include organizing data, representing data using various graphical methods like bar graphs and pie charts, interpreting data, and calculating measures of central tendency like mean, median, and mode.
How Many Questions are there in NCERT Solutions Class 8 Maths Chapter 5 Data Handling?
NCERT Solutions for Class 8 Maths Chapter 5 Data Handling typically contain a range of questions covering different aspects of data handling. The number of questions may vary, but it's recommended to practice a sufficient number to ensure a thorough understanding of the concepts.
How CBSE Students can utilize NCERT Solutions Class 8 Maths Chapter 5 effectively?
CBSE students can effectively utilize NCERT Solutions for Class 8 Maths Chapter 5 by first understanding the concepts thoroughly, practicing a variety of questions, and then using the solutions to verify their answers and learn from any mistakes. Regular practice and self-assessment are key to mastering the topic.
Why Should I Practice NCERT Solutions Class 8 Maths Data Handling Chapter 5?
Practicing NCERT Solutions for Class 8 Maths Chapter 5 Data Handling is essential for reinforcing your understanding of data handling concepts, improving problem-solving skills, and preparing effectively for exams. Regular practice ensures proficiency in interpreting and analyzing data, which is a valuable skill in various real-world applications.