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Last Updated Sep 27, 2025

Bar Charts Simplified Revision Notes

Revision notes with simplified explanations to understand Bar Charts quickly and effectively.

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Bar Charts

Overview

A bar chart is a graphical representation of data where rectangular bars are used to show the frequencies or values of different categories. It is a simple and effective way to compare discrete data or categorical variables.

Key Features of a Bar Chart

Bars:

  • Each bar represents a category.
  • The height (or length) of the bar corresponds to the value or frequency of that category.

Axes:

  • Horizontal axis (x-axis): Represents the categories or groups.
  • Vertical axis (y-axis): Represents the frequency or value.

Spacing:

  • Bars are separated by spaces to indicate that the data categories are distinct (unlike histograms, where bars touch).

Orientation:

  • Bar charts can be vertical or horizontal, depending on how the categories and values are organised.

When to Use Bar Charts

  • To compare data across different categories.
  • To display discrete or categorical data (e.g., favourite subjects, types of transport).

Examples

infoNote

Example 1: Favourite Colours

Problem:

A survey asks 50 students about their favourite colour. The results are as follows:

  • Red: 15 votes
  • Blue: 20 votes
  • Green: 10 votes
  • Yellow: 5 votes Create a bar chart to represent this data.

Solution:

  1. Identify the categories: Colours (Red, Blue, Green, Yellow).
  2. Determine the frequencies: Votes for each colour.
  3. Set up the axes:
  • Horizontal axis: Colours.
  • Vertical axis: Number of votes (0 to 25).
  1. Draw bars:
  • Red: Height of 15.
  • Blue: Height of 20.
  • Green: Height of 10.
  • Yellow: Height of 5.

The bar chart shows that Blue is the most popular colour, while Yellow is the least popular.

infoNote

Example 2: Weekly Sales

Problem:

A shop records the number of items sold each day for one week:

  • Monday: 30
  • Tuesday: 45
  • Wednesday: 40
  • Thursday: 25
  • Friday: 50 Create a bar chart to represent this data.

Solution:

  1. Identify the categories: Days of the week (Monday to Friday).
  2. Determine the values: Number of items sold each day.
  3. Set up the axes:
  • Horizontal axis: Days of the week.
  • Vertical axis: Number of items sold (0 to 60).
  1. Draw bars:
  • Monday: Height of 30.
  • Tuesday: Height of 45.
  • Wednesday: Height of 40.
  • Thursday: Height of 25.
  • Friday: Height of 50.

The bar chart shows that Friday had the highest sales, while Thursday had the lowest.

Summary

  • Bar charts represent data using rectangular bars, where the height (or length) corresponds to the value or frequency.
  • Bars are separated to indicate distinct categories.
  • Useful for comparing discrete or categorical data.
  • Steps to create a bar chart: 9. Identify the categories and values. 10. Set up axes with appropriate labels and scales. 11. Draw bars for each category based on its value.
  • Bar charts can be vertical or horizontal, depending on the data.
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