Welcome to Histogram Mastery!
Let's Explore Continuous Data!
Histograms are powerful tools for visualizing continuous data distributions. Unlike bar graphs, they show how data is distributed across continuous intervals!
📖 Theory & Key Concepts
What is a Histogram?
A histogram is a graphical representation of the distribution of continuous numerical data. Unlike bar graphs, histograms show how data is distributed across continuous intervals or ranges.
- Bars touch each other (no gaps)
- X-axis represents continuous ranges
- Y-axis shows frequency or count
- Used for continuous data only
Frequency Density
When class intervals have different widths, we use frequency density instead of raw frequency to ensure fair representation.
- Formula: Frequency Density = Frequency ÷ Class Width
- Ensures area of bar represents frequency
- Prevents misleading visual comparisons
- Essential for varying class widths
Histogram vs Bar Graph
Understanding the key differences helps you choose the right visualization for your data.
- Data Type: Continuous vs Categorical
- Bars: Touching vs Separated
- Purpose: Distribution vs Comparison
- X-axis: Ranges vs Categories
Construction Steps
Follow these steps to create accurate and meaningful histograms:
- 1. Draw horizontal and vertical axes
- 2. Choose appropriate scales
- 3. Draw bars with equal widths
- 4. Ensure bars touch each other
- 5. Add title and labels