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Mathematics is not just about numbers and equations; it also involves understanding how to collect, organize, and interpret information. One of the most important aspects of Mathematics is Data Handling, which is all about managing data in a systematic way. Chapter 22 of the RD Sharma Class 7 Maths textbook focuses on the first part of Data Handling, which is “Collection and Organization of Data.”
In this chapter, students will learn how to gather data, organize it properly, and represent it in a way that makes it easy to understand. Data collection involves gathering raw information from different sources, such as surveys, experiments, or observations. Once the data is collected, it needs to be organized so that it can be analyzed and interpreted effectively. Proper organization of data makes it easier to see patterns, draw conclusions, and make informed decisions.
The chapter introduces various methods of collecting data, including tally marks and frequency distribution tables. Students will learn how to represent data in tabular form, which helps in better understanding and analysis. The frequency table is one of the most important tools in this chapter, as it allows students to see how often a particular value or piece of information appears in the data set. This is a crucial step in data handling, as it forms the foundation for further analysis.
Do Check: RD Sharma Solutions for Class 7 Maths
Through the RD Sharma solutions, students will get detailed step-by-step explanations of how to organize data in the form of tables, making it easier to interpret. By practicing these methods, students will gain a deeper understanding of how data works and how to present it in a structured way. This chapter lays the groundwork for more complex topics in data handling, such as bar graphs, pie charts, and probability, which will be introduced in later chapters.
By the end of Chapter 22, students will be equipped with the basic skills required to collect and organize data accurately. These skills will help them in not only their Maths studies but also in real-life situations where data collection and interpretation are essential. Whether it’s for a school project or understanding statistics in daily life, mastering data handling is a valuable skill that will serve students well.
RD Sharma Class 7 Chapter 22 PDF includes detailed solutions, examples, and extra questions to help you master real numbers and other topics. Click here to download the RD Sharma Class 7 Chapter 22 PDF.
In this chapter, students will learn about decimals and how to perform basic operations with them. The solutions provided here are detailed and easy to follow, helping students understand each concept thoroughly
Q1. Define the following terms:
(i) Observations
Observation refers to the process of closely watching someone or something to gather information, often in numerical form.
(ii) Data
Data is the collection of all observations made.
(iii) Frequency of an observation
The frequency of an observation is the number of times a particular observation appears in a given set of data.
(iv) Frequency distribution
Frequency distribution is a way of organizing raw data into a form that is easier to understand and analyze.
Q2. The final marks in Mathematics of 30 students are as follows:
53, 61, 48, 60, 78, 68, 55, 100, 67, 90, 75, 88, 77, 37, 84, 58, 60, 48, 62, 56, 44, 58, 52, 64, 98, 59, 70, 39, 50, 60
(i) Arrange these marks in ascending order. Group them in the following ranges: 30-39, 40-49, etc.
| (30-39) | 37, 39 |
| (40-49) | 44, 48, 48 |
| (50-59) | 50, 52, 53, 55, 56, 58, 58, 59 |
| (60-69) | 60, 60, 60, 61, 62, 64, 67, 68 |
| (70-79) | 70, 75, 77, 78 |
| (80-89) | 84, 88 |
| (90-99) | 90, 98 |
| (100-109) | 100 |
(ii) What is the highest score?
The highest score is 100.
(iii) What is the lowest score?
The lowest score is 37.
(iv) What is the range?
The range is the difference between the highest and lowest scores, which is 100 – 37 = 63.
(v) If 40 is the pass mark, how many students have failed?
Only 2 students have failed as their scores are below 40.
(vi) How many have scored 75 or more?
8 students scored 75 or more.
(vii) Which scores between 50 and 60 have not actually appeared?
Scores 51, 54, and 57 are not there between 50 and 60.
(viii) How many have scored less than 50?
5 students scored less than 50.
Q3. The weights of newborn babies (in kg) in a hospital on a particular day are as follows:
2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4
(i) Rearrange the weights in descending order.
| 3.1 | 3.0 | 2.9 | 2.9 | 2.8 | 2.8 | 2.7 | 2.7 | 2.6 | 2.5 | 2.5 | 2.4 | 2.3 | 2.2 | 2.1 |
(ii) What is the highest weight?
The highest weight is 3.1 kg.
(iii) What is the lowest weight?
The lowest weight is 2.1 kg.
(iv) What is the range?
The range is the difference between the highest and lowest weights: 3.1 - 2.1 = 1.0 kg.
(v) How many babies were born on that day?
A total of 15 babies were born on that day.
(vi) How many babies weigh below 2.5 kg?
4 babies weigh below 2.5 kg.
(vii) How many babies weigh more than 2.8 kg?
4 babies weigh more than 2.8 kg.
(viii) How many babies weigh 2.8 kg?
2 babies weigh 2.8 kg.
Q4. Following data gives the number of children in 40 families:
1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1
Represent this data in the form of a frequency distribution.
| Number of Children | Frequency |
| 0 | 5 |
| 1 | 7 |
| 2 | 11 |
| 3 | 5 |
| 4 | 6 |
| 5 | 3 |
| 6 | 3 |
Q5. Prepare a frequency table of the following scores obtained by 50 students in a test:
42, 51, 21, 42, 37, 37, 42, 49, 38, 52, 7, 33, 17, 44, 39, 7, 14, 27, 39, 42, 42, 62, 37, 39, 67, 51, 53, 53, 59, 41, 29, 38, 27, 31, 54, 19, 53, 51, 22, 61, 42, 39, 59, 47, 33, 34, 16, 37, 57, 43
Required frequency distribution table:
| Marks | Number of Students |
| 7 | 2 |
| 14 | 1 |
| 16 | 1 |
| 17 | 1 |
| 19 | 1 |
| 21 | 1 |
| 22 | 1 |
| 27 | 2 |
| 29 | 1 |
| 31 | 1 |
| 33 | 2 |
| 34 | 1 |
| 37 | 4 |
| 38 | 2 |
| 39 | 4 |
| 41 | 1 |
| 42 | 6 |
| 43 | 1 |
| 44 | 1 |
| 47 | 1 |
| 49 | 1 |
| 51 | 3 |
| 52 | 1 |
| 53 | 3 |
| 54 | 1 |
| 57 | 1 |
| 59 | 2 |
| 61 | 1 |
| 62 | 1 |
| 67 | 1 |
Chapter 22 of RD Sharma for Class 7 Maths focuses on Data Handling, specifically the Collection and Organization of Data. It teaches students how to collect raw data, organize it into tables, and analyze it systematically for better understanding.
In this chapter, data is organized using frequency tables. These tables show how often a particular value or piece of data occurs in a given set. Students also learn how to use tally marks to collect and represent data before organizing it into tables.
Tally marks are a simple way to represent data visually. Each group of five tally marks represents one complete set of five observations. They are helpful when collecting data manually and quickly. In this chapter, tally marks are used to keep track of data before organizing it into frequency tables.
Frequency tables help to summarize large sets of data by showing the number of times a particular value appears in the data. They make it easier to interpret and analyze the data because they organize it in a structured way, making patterns or trends more visible.
By studying Chapter 22, students will develop the skills to collect data, organize it into tables, and interpret it. These skills are essential for further study in statistics and data handling, and they can also be applied in real-life situations like surveys and data analysis.
RD Sharma Solutions provide detailed, step-by-step explanations of all the concepts and methods used in Chapter 22. These solutions make it easier for students to understand how to collect and organize data, and they help in practicing different problems to master the topic.