Grade 6
  1. Number System  1.1. Whole Numbers  1.1.1. Place Value and Face Value  1.1.2. Comparing and Ordering Numbers  1.1.3. Rounding Numbers  1.1.4. Properties of Whole Numbers (Associative, Commutative, Distributive)  1.2. Integers  1.2.1. Introduction to Integers  1.2.2. Addition and Subtraction of Integers  1.2.3. Multiplication and Division of Integers  1.2.4. Properties of Integer Operations  1.3. Fractions  1.3.1. Types of Fractions  1.3.2. Equivalent Fractions  1.3.3. Simplification of Fractions  1.3.4. Addition and Subtraction of Fractions  1.3.5. Multiplication and Division of Fractions  1.3.6. Comparing and Ordering Fractions  1.4. Decimals  1.4.1. Understanding Decimals  1.4.2. Conversion between Fractions and Decimals  1.4.3. Addition and Subtraction of Decimals  1.4.4. Multiplication and Division of Decimals  1.4.5. Comparing and Ordering Decimals
  2. Algebra  2.1. Basics of Algebra  2.1.1. Variables and Constants  2.1.2. Expressions and Equations  2.1.3. Algebraic Terms and Coefficients  2.2. Solving Simple Equations  2.2.1. Balancing Equations  2.2.2. Solving One-Step Equations  2.2.3. Solving Two-Step Equations  2.3. Patterns and Sequences  2.3.1. Identifying Patterns  2.3.2. Arithmetic Sequences
  3. Ratio and Proportion  3.1. Ratios  3.1.1. Understanding Ratios  3.1.2. Equivalent Ratios  3.1.3. Simplifying Ratios  3.2. Proportion  3.2.1. Introduction to Proportion  3.2.2. Direct and Inverse Proportions  3.3. Percentages  3.3.1. Converting Ratios to Percentages  3.3.2. Percentage Increase and Decrease  3.3.3. Discount and Profit Calculations  3.3.4. Simple Interest Calculations in Percentages in Ratio and Proportion
  4. Geometry  4.1. Basic Geometric Shapes  4.1.1. Points, Lines, and Angles  4.1.2. Types of Angles  4.1.3. Intersecting and Parallel Lines  4.2. Triangles  4.2.1. Types of Triangles  4.2.2. Properties of Triangles  4.2.3. Sum of Angles in a Triangle  4.2.4. Congruence of Triangles  4.3. Quadrilaterals  4.3.1. Types of Quadrilaterals  4.3.2. Properties of Quadrilaterals  4.4. Circles  4.4.1. Radius and Diameter  4.4.2. Circumference and Area  4.4.3. Arcs and Chords  4.4.4. Sector and Segment
  5. Mensuration  5.1. Perimeter  5.1.1. Perimeter of Simple Shapes  5.2. Area  5.2.1. Area of Rectangles and Squares  5.2.2. Area of Triangles and Parallelograms  5.2.3. Area of Composite Figures  5.2.4. Area of Trapezium  5.3. Volume  5.3.1. Volume of Cubes and Cuboids  5.3.2. Volume of Cylinders  5.3.3. Volume of Cones  5.3.4. Surface Area of Simple Solids
  6. Data Handling  6.1. Introduction to Data  6.1.1. Types of Data  6.1.2. Organizing Data  6.1.3. Frequency Distribution  6.2. Graphs and Charts  6.2.1. Bar Graphs  6.2.2. Line Graphs  6.2.3. Pictographs  6.2.4. Pie Charts  6.3. Mean, Median, and Mode  6.3.1. Calculating Mean  6.3.2. Finding Median  6.3.3. Identifying Mode  6.3.4. Range of Data in Mean, Median, and Mode
  7. Probability  7.1. Basics of Probability  7.1.1. Understanding Probability  7.1.2. Probability of Simple Events  7.1.3. Experimental and Theoretical Probability
  8. Practical Geometry  8.1. Construction of Shapes  8.1.1. Constructing Triangles  8.1.2. Constructing Quadrilaterals  8.1.3. Constructing Circles and Arcs  8.2. Symmetry  8.2.1. Line of Symmetry  8.2.2. Rotational Symmetry  8.2.3. Translational Symmetry

Grade 6 → Data Handling → Graphs and Charts ↓


Pie Charts


A pie chart is a type of graph used to visually represent data in a circular format. They are extremely useful for displaying the proportion of an entire set of data. In a pie chart, the circle is divided into slices, each of which represents a category or a portion of the total data.

Understanding pie charts

A pie chart is essentially a circle divided into segments. Each segment, also called a slice, represents a fraction of the whole. The size of each slice is proportional to the quantity it represents. If you are familiar with the concept of fractions and percentages, you can think of each slice as a percentage of the whole circle, making it 100% of the pie.

Suppose, for example, you have a pie chart that shows how much time you spend on different activities in a day. The whole circle represents 24 hours, and each slice will show the amount of time spent on a particular activity such as sleeping, reading, playing, etc.

A simple example

Imagine you conducted a survey in your class to find out which fruit each student liked the most. The data you collected is as follows:

  • Apple: 10 students
  • Bananas: 8 students
  • Cherries: 12 students
  • Grapes: 5 students

Total number of students is 10 + 8 + 12 + 5 = 35 students.

A pie chart will help you show this data in an easy to understand way. Each slice of the pie will represent the number of students who 'voted' for each fruit.

Creating a pie chart

To create a pie chart, follow these steps:

  1. Find the sum of all the values.
  2. Find the percentage of each value from the total value.
  3. Convert each percentage into degrees of a circle.

Since there are 360 degrees in a circle, the formula for finding the degrees of each pie slice is:

Degrees = (Value / Total Value) × 360

Let's apply this to our fruit survey to calculate the size of each slice:

Calculation:

For the apples:

Degrees = (10 / 35) × 360 ≈ 102.86°

For the bananas:

Degrees = (8 / 35) × 360 ≈ 82.29°

For the cherries:

Degrees = (12 / 35) × 360 ≈ 123.43°

For the grapes:

Degrees = (5 / 35) × 360 ≈ 51.43°

To understand the whole circle, the sum of the degrees must be 360°.

Pie Chart Representation:

Uses of pie charts

Pie charts are used in different fields for different purposes. Here are some examples:

  • Business: Representing the market shares of various companies.
  • Education: To show survey results or popularity of topics among students.
  • Research: To present the structure of various factors affecting a study.

Interpreting pie charts

When you look at a pie chart, it's important to understand what each slice represents and how the sizes compare. Larger slices represent a larger proportion of the data. For example, in the fruit chart, the slice of cherries is the largest, indicating that they are the most popular fruit.

It is also important to read the accompanying text or legend that explains what each color or section represents.

Limitations of pie charts

Although pie charts are great for showing proportions and parts of a whole, they have some limitations:

  • They are not ideal for showing exact values. Use them only to understand common ratios.
  • If there are too many categories, the pie chart will become cluttered and difficult to read.
  • Different categories may use the same colors, which can cause confusion.
  • Pie charts are not suitable for comparing different datasets.

Pie chart variations

There are many types of pie charts, including:

  • 3D Pie Chart: It is presented in a three-dimensional view to increase visual interest.
  • Exploded Pie Chart: A pie chart in which certain values are emphasized by separating one or more slices from the rest.
  • Doughnut chart: Similar to a pie chart, but with a central circular space that allows for additional data presentation.

Conclusion

Pie charts provide an attractive way to represent data proportions in a clear and simple way. They can effectively show how a whole is divided into different categories

Understanding how to create, interpret, and use pie charts are valuable skills in many academic, business, and practical applications of data visualization.


Grade 6 → 6.2.4


U
username
0%
completed in Grade 6

← Prev (6.2.3)
Pictographs
Next (6.3) →
Mean, Median, and Mode

Comments 



Pie Charts

https://www.buddymath.com/g6/6.2.4?bmal=en