Drawing pie charts

4.2.1 Drawing pie charts

Description

Quick Overview

This section explains how to represent data using pie charts, illustrating the relationship between a whole and its parts through graphical representation.

Standard

Pie charts, also known as circle graphs, exemplify data representation in a circular form to depict the parts of a whole. This section covers how to calculate the central angle for each sector based on given data and provides detailed steps for drawing pie charts.

Detailed

Detailed Summary

The section focuses on drawing pie charts as a method of data representation. Pie charts, or circle graphs, showcase the relationship between a whole and its parts, effectively visualizing percentages or portions of different categories. For instance, if a survey reveals that 50% of students prefer chocolate ice cream, the corresponding pie chart sector for chocolate would occupy half the total angle of the circle, which is 180 degrees out of 360 degrees.

To illustrate this, the section provides a systematic approach to finding the central angle for each category based on its percentage representation. For example:

  • Calculate Central Angle: Multiply the percentage of each category by 360° to find the angle of each sector.
  • A table summarizing flavors and percentages aids students in visualizing this concept:
  • Chocolate: 50% = 180°
  • Vanilla: 25% = 90°
  • Other flavors: 25% = 90°

The text instructs students to draw a circle, mark its center, and use a protractor to accurately construct each sector according to calculated angles. Several examples reinforce the concept by presenting real data, such as the type of programs watched on TV or flavors of ice cream preferred by students, allowing them to practice drawing pie charts themselves.

Similar Questions

  1. On a certain day, the sales (in dollars) of different kinds of fruits at a market are provided below.
Item Sales (in Dollars)
Apples 150
Bananas 230
Grapes 120
Oranges 100
Other Fruits 200
Total 900

Create a pie chart from this data.

  1. On a specific day, the revenue (in euros) from a bookstore's sales of various book genres is shown below.
Genre Revenue (in Euros)
Fiction 250
Non-Fiction 180
Science 100
Fantasy 90
Other Genres 280
Total 900

Draw a pie chart based on the information provided.

  1. On a given day, the sales (in yen) of different types of beverages at a cafe are outlined below.
Beverage Sales (in Yen)
Coffee 400
Tea 300
Juice 200
Soft Drinks 100
Other Beverages 0
Total 1000

Illustrate a pie chart for this sales data.

  1. On a certain day, the expenditures (in pounds) for different categories of a household's budget are presented below.
Category Expenditure (in Pounds)
Rent 600
Groceries 150
Utilities 100
Transportation 50
Entertainment 100
Total 1000

Create a pie chart that represents this data.

  1. On a particular day, the sales (in rupees) of various types of clothing at a boutique are given below.
Item Sales (in Rupees)
Shirts 200
Pants 300
Jackets 150
Accessories 50
Other Clothing 150
Total 850

Draw a pie chart for the data provided.

Key Concepts

  • Pie Chart: A visual representation of data where a circle is divided into sectors.

  • Central Angle Calculation: Multiply the percentage of a category by 360° to determine the size of the sector it will represent in the pie chart.

  • Data Visualization: Using graphs like pie charts makes it easier to compare different parts of a whole.

Memory Aids

🎵 Rhymes Time

  • A pie chart's a playful sight, shows data parts with all its might.

📖 Fascinating Stories

  • Imagine a pizza divided among friends, each slice represents their favorite flavor, just like pie charts represent different data parts!

🧠 Other Memory Gems

  • To remember the pie chart steps: 'Calculate, Draw, Fit, Proportions!'

🎯 Super Acronyms

P.I.E.

  • Percentages into Every sector.

Examples

  • If a class consists of 100 students, and 50% prefer chocolate ice cream, the corresponding sector in the pie chart will represent 180 degrees.

  • In a survey where 60% of respondents prefer action movies, that sector would be 216 degrees in the pie chart.

Glossary of Terms

  • Term: Pie Chart

    Definition:

    A circular chart divided into sectors, illustrating numerical proportions.

  • Term: Central Angle

    Definition:

    The angle formed at the center of the pie chart corresponding to a particular category.

  • Term: Sector

    Definition:

    A portion of the pie chart that represents a category of data.

  • Term: Percentage

    Definition:

    A fraction of 100, used to express proportions in pie charts.