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Bar Graph Overview and Basics

Aug 21, 2025

Overview

This lecture introduces bar graphs, explains their features, and demonstrates how to construct one with categorical data.

Bar Graph Basics

  • Bar graphs use rectangles (bars) to visually display categorical data.
  • Each bar represents a different category, with the height or length showing frequency.
  • Bars should never touch, as touching bars indicate a histogram, not a bar graph.
  • Bar graphs can be oriented vertically or horizontally without changing their meaning.

Example: Drawing a Bar Graph

  • Example data: Number of people with each eye color (Brown, Blue, Green/Hazel).
  • X-axis represents categories (eye color), and Y-axis represents frequencies.
  • Use labeled tick marks on the Y-axis for clarity (e.g., 5, 10, 15, 20, 25).
  • Always label both axes (e.g., "Eye Color" and "Frequencies").
  • Draw each bar up to the correct frequency value for each category.
  • Bars should be spaced evenly and not touch each other.
  • Optional: Use different colors for each bar or label each bar with its value for clarity.

Key Terms & Definitions

  • Bar Graph — a chart that displays categorical data using separated bars to show frequency.
  • Histogram — a similar chart where bars touch, used for quantitative data with continuous intervals.
  • Category — a distinct group or label within the data (e.g., eye color).
  • Frequency — the count of occurrences within each category.

Action Items / Next Steps

  • Practice drawing a bar graph for a given set of categorical data on paper.
  • Ensure to correctly label axes and keep bars separate.