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RS Aggarwal Solutions Class 8 Chapter-24 Pie Charts (Ex 24A) Exercise 24.1

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RS Aggarwal Solutions Class 8 Chapter-24 Pie Charts (Ex 24A) Exercise 24.1 - Free PDF

Free PDF download of RS Aggarwal Solutions Class 8 Chapter-24 Pie Charts (Ex 24A) Exercise 24.1 solved by Expert Mathematics Teachers on Vedantu.com. All Exercise 24.1 Questions with Solutions for Class 8 Maths  RS Aggarwal to help you to revise the complete syllabus and score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance Exams.

Pie Chart

A Pie Chart is a type of graph that displays data in a circular graph. The slices of the pie represent the relative size of the data and are a type of pictorial data representation. A Pie Chart necessitates a list of categorical and numerical variables. In this case, the term "pie" refers to the whole, and the "slices" refer to the parts of the whole.

What exactly is a Pie Chart?

The "Pie Chart" is also referred to as a "Circle Chart" because it divides the circular statistical graphic into sectors or sections to illustrate numerical problems. Each sector represents a proportionate portion of the total. The Pie-Chart is the best tool for determining the composition of something at that time. In most cases, Pie Charts take the place of other graphs such as bar graphs, line plots, histograms, and so on.

Formula

The Pie Chart is a popular method of data representation. It has various segments and sectors, and each segment and sector of a Pie Chart represents a specific portion of the total (percentage). The total of all the data is 360°. The total value of the pie is always one hundred percent.

Follow the Steps Below To Calculate the Percentage for a Pie Chart:

  • Sort the information into categories.

  • Determine the total.

  • Separate the categories.

  • Convert to a percentage.

  • Finally, total the degrees.

Maker of Pie Charts

You have now learned how to use geometric tools to create a Pie Chart for the given data. This section will teach you how to create a Pie Chart using an online tool. To create the desired Pie Chart, people frequently use the graphing feature in Excel sheets. We have, however, provided an online Pie Chart maker.

Pie Charts have a fairly narrow use case that is particularly well encapsulated by their definition. To use a Pie Chart, you must have a whole amount that has been divided into a number of distinct parts. In a Pie Chart, your primary goal should be to compare each group's contribution to the whole, rather than comparing groups to each other. If the above criteria are not met, the Pie Chart is inapplicable, and a different plot type should be used instead.

The values that make up a whole and the categories that divide the whole are generally of two types. First and foremost, when the 'whole' represents a total number. Examples include the number of votes cast in an election divided by candidate, or the number of transactions divided by user type (e.g. guest, new user, existing user).

When the total is a sum over an actual data variable, this is referred to as the second type of 'whole.' For Example, we might be interested in the monetary total of all transactions rather than the number of transactions. Dividing this total by an attribute such as user type, age bracket, or location may reveal where the business is most successful.

A Pie Chart's data can be summarised in a table like the one above, where the first column represents a category and the second column represents the proportion, frequency, or amount of that category. Unless it is to be listed somewhere else on a generated figure, the total usually does not need to be specified separately. Alternatively, some tools can simply work with the unaggregated data as shown in the table below, aggregating it into the table above at the time of Pie Chart creation.

How Do You Answer Pie Chart Questions?

This section will teach you how to solve or interpret the Pie Chart to obtain the original values. To do so, we must first determine whether the given chart is presented in percentages, degrees, or without a value. We can answer the questions about Pie Charts using this information. Let's take a look at the solved Example to get a better understanding of this.

Pie Chart Applications

  • It is used in business to compare areas of growth such as turnover, profit, and exposure.

  • To display categorical data.

  • To demonstrate a student's performance in a test, etc.

Advantages

  • The illustration is straightforward and simple.

  • Data can be visually represented as a fraction of a whole.

  • It contributes to the provision of an effective communication tool for even the most uninformed audience.

  • At a glance, provides a data comparison for the audience to provide an immediate analysis or to quickly understand information.

  • There is no need for readers to Examine or measure underlying numbers, which can be avoided by using this chart.

  • You can manipulate data points in the Pie Chart to emphasize a few points you want to make.

Disadvantages

  • It becomes less effective when there are too many data points to use.

  • If there are too many data points. Even if you include data labels and numbers, they may become crowded and difficult to read.

  • Because this chart only represents one data set, a series is required to compare multiple sets.

  • This may make it more difficult for readers to quickly analyze and assimilate information.

Producing a Pie Chart

The following steps are used to create a Pie Chart, and the data is calculated using the above-mentioned formulas.

Step 1: Enter all of the data into a table and total all of the values.

Step 2: To find the percentage values, divide each value by the total and multiply by 100.

Step 3: To calculate the number of degrees required for each pie sector, we take a full circle of 360° and apply the formula: 360° (Frequency/Total Frequency)

Step 4: Once all of the degrees for making a Pie Chart have been calculated, use a protractor to draw a circle (Pie Chart) using the calculated measurements.

Vedantu is a platform that provides free NCERT Solution and other study materials for students. Science Students who are looking for NCERT Solutions for Class 8 Science will also find the Solutions curated by our Master Teachers really Helpful.

FAQs on RS Aggarwal Solutions Class 8 Chapter-24 Pie Charts (Ex 24A) Exercise 24.1

1. Is RS Aggarwal for Class 8 Mathematics useful?

The derivations and numerical components must be understood and practised, which is where Vedantu RS Aggarwal Mathematics solutions can help. The NCERT textbook can be used to cover the theory portion of the concept, which is an important aspect of the concept. Students benefit greatly from Vedantu's study material in terms of improving their understanding of the topics. Students should first go to the Vedantu official website, log in with their mobile number and email address, and then navigate to the grade 8 Mathematics page to download it.

2. How can I do well in Class 8 Maths?

The only way to do well in Class 8 Maths is to practice. Complete all of the Chapter Exercises. This will enhance your problem-solving abilities as well as your speed and efficiency. Important formulas, definitions, and equations can be written down in a notebook and reviewed on a regular basis. Solve previous year's sample papers and question papers within a time limit. This will familiarise you with the paper pattern and question type, as well as help you improve your time management skills. Revise on a regular basis to ensure that you retain everything you've learned for a longer period of time.

3. How do you calculate the total number of data points in a Pie Chart slice? What are some Pie Chart Examples?

To calculate the total number of data points in a slice of a Pie Chart, multiply the slice percentage by the total number of data points and divide by 100.

A slice of the Pie Chart, for Example, is equal to 60%, and the Pie Chart contains a total data set of 150. The value of 60% of a pie slice is then (60150)/100 = 90.

  • There are numerous real-world Examples of Pie Charts, including:

  • Students' grades in a Class are represented as a graph.

  • A representation of the various types of cars sold in a given month.

  • To demonstrate the type of food preferred by the people in a room.

4. Why do we employ Pie Charts?

Pie Charts are used to display proportional or relative data in a single graph. The concept of pie slices is used to demonstrate the percentage of specific data from the entire pie. Pie Charts have a fairly narrow use case that is particularly well encapsulated by their definition. To use a Pie Chart, you must have a whole amount that has been divided into a number of distinct parts. In a Pie Chart, your primary goal should be to compare each group's contribution to the whole, rather than comparing groups to each other. If the above criteria are not met, the Pie Chart is inapplicable, and a different plot type should be used instead.

5. How do you produce a Pie-Chart?

Step 1: Enter all of the information into a table and total the values.

Step 2: To calculate the percentages, divide each value by the total and multiply by 100.

Step 3: To calculate the number of degrees required for each pie sector, we take a full 360° circle and use the formula: (Frequency/Total Frequency) 360°

Step 4: After calculating all of the degrees for making a Pie Chart, use a protractor to draw a circle (Pie Chart) using the calculated measurements.