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.