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13. INTRODUCTION TO GRAPHS

Graphs serve as visual representations of data, enabling quick and easy understanding, especially when showing trends or comparisons. Different types of graphs, particularly line graphs, display continuously changing data over time. The relationship between independent and dependent variables can be effectively demonstrated through these graphs, guiding insights into variations and relationships between quantities.

Sections

Introduction to Graphs

Graphs are essential tools for visualizing data, making it easier to understand trends and comparisons.

13 Section Overview

Start current section content and materials

13.1 Introduction

This section introduces graphs as visual representations of numerical data for easy understanding.

13.1.2 A line graph

Line graphs visually represent data that changes continuously over time, making trends easier to analyze compared to tabular formats.

13.2 Some Applications

This section explores the relationship between independent and dependent variables through practical applications, such as the correlation between electricity consumption and billing.

Learning Objectives

  • Graphical presentation of data is easier to understand.

  • A line graph displays data that changes continuously over periods of time.

  • A line graph which is a whole unbroken line is called a linear graph.

  • To fix a point on the graph sheet, we need an x-coordinate and a y-coordinate.

  • The relation between dependent variable and independent variable is shown through a graph.

Key Concepts

Line Graph

A type of graph that represents data changes continuously over time by connecting points with a line.

Independent Variable

A variable whose variation does not depend on another variable, often plotted on the x-axis.

Dependent Variable

A variable that depends on another variable, commonly plotted on the y-axis.

Linear Graph

A graph that forms a straight line, indicating a constant rate of change.

Practice Exercises

Total Questions

4

Estimated Time

8 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting