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RD Sharma Class 8 Solutions Chapter 25 - Pictorial Representation of Data As Pie Charts Or Circle Graphs (Ex 25.1) Exercise 25.1 - Free PDF

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Free PDF download of RD Sharma Class 8 Solutions Chapter 25 - Pictorial Representation of Data As Pie Charts Or Circle Graphs Exercise 25.1 solved by Expert Mathematics Teachers on All Chapter 25 - Pictorial Representation of Data As Pie Charts Or Circle Graphs Ex 25.1 Questions with Solutions for RD Sharma Class 8 Math to help you to revise complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

Introduction to Chapter 25 Pictorial Representation

A pie chart may be defined as a pictorial representation of data in a circular chart or a pie, with the slices indicating data size. You'll need a list of numerical and categorical variables for representing the given data in the form of a pie chart. In a pie chart, the arc length of each slice, and thus its area and central angle, is proportional to the quantity it represents.

What Exactly is a Pie Chart?

A pie chart is nothing but a graphical representation in the form of a chart that uses a circular graph to visually display data. It is a graph that uses the attributes of circles, spheres, and angular data to represent real-world data and is one of the most widely used graphs for representing data. A pie chart has a circular shape, with the pie representing the whole data and the slices representing the parts of the data and recording them separately.

Definition of Pie Chart

In a pie chart we record the data in a  circular pattern and divide it into sectors to represent data from a particular portion of the whole. The proportionate part of the whole is represented by each of these sectors or slices. Data can be better understood and represented using pie charts. It's also useful for comparing two sets of data.

The Formula of Pie Chart

We all know that the pie's total value is always 100 percent. A circle has a total angle of 360-degree.  As a result, the total of all the data equals 360°. Two formulas are used in the pie charts based on these:

  • We can calculate the percentage of the given data by using the given formula: 100 (Frequency x Total Frequency)

  • We use the formula to convert the data into degrees: 360° (Given Data Total Value of Data)

Using the steps outlined below, we can calculate the percentage for any pie chart:

  • Calculate the total by categorizing the given data.

  • Separate the various categories.

  • Calculate the percentages from the data.

  • Determine the degrees.

FAQs on RD Sharma Class 8 Solutions Chapter 25 - Pictorial Representation of Data As Pie Charts Or Circle Graphs (Ex 25.1) Exercise 25.1 - Free PDF

1. What are some uses of the Pie Chart?

A pie chart can be used for a variety of purposes, as listed below:

  • It's used in business to compare growth areas like profit and loss.

  • Pie charts can be used in schools to show the amount of time allotted to each section, the percentages of students' grades, and so on.

  • Pie charts are useful for comparing the relative sizes of data from people who own similar vehicles, houses, and so on.

  • They're used to represent marketing and sales data so that brands can be compared.

2. How to prepare a Pie Chart?

Following are the steps to prepare a pie chart:

Step 1: To get a total, put all of the data into a table and add all of the values together.

Step 2: To calculate 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 360° circle and use the formula: 360° (Frequency/Total Frequency)

Step 4: Using a protractor, draw a circle (pie chart) using the calculated measurements once all the degrees for creating a pie chart have been calculated.

3. What are some advantages of the Pie Chart?

The advantages of a pie chart are listed below, as well as the reasons for their widespread use in various fields.

  • A pie chart can help in easy and quick understanding  data as a fractional part of a larger whole.

  • It is a more effective communication tool than other types of graphs because it is visually simpler.

  • Due to its widespread use in business and the media, the pie chart aids in data comparison for the audience at a glance to provide an immediate analysis or to quickly understand information.

4. What are some disadvantages of the Pie Chart?

Pie charts have only a few disadvantages. These are listed below:

  • If the number of values in a data set grows, a pie chart can only show a few values without separating the visual encoding from the data it represents, making it ineffective.

  • It is difficult to find exact values in the data set.

  • Many Pie Charts may be required to show the changes in the data. As a result, it falls short of explaining the causes, effects, or patterns.

5. What are some points to keep in mind while understanding the output of the Pie Chart?

We can use a Pie Chart for comparing the proportion of data in each category. A pie chart is a circle (the pie) divided into slices (the slices) to represent the proportion of observations in each category.

  • Compare groups to interpret a pie chart.

  • When interpreting a pie chart you should check for differences in the size of the slices. The proportion of observations in each group is represented by the size of a slice.

  • When comparing pie charts, look for variations in the size of slices for the same categories.