1. What is Class Width?

Definition: Class width is the difference between the maximum and minimum bounds of a distribution, assuming all classes have the same width.

Purpose: Used in creating histograms to determine the size of each class interval.

2. How Does the Calculator Work?

The calculator uses the formula: \( \text{class width} = \frac{\text{max} - \text{min}}{n} \), where:

• \( \text{max} \): Upper bound of the data set.
• \( \text{min} \): Lower bound of the data set.
• \( n \): Number of classes within the distribution.

Steps:

• Enter the maximum value, minimum value, and number of classes.
• Click "Calculate" to compute the class width.

3. Why Use Class Width?

Useful for:

• Histogram Construction: Ensuring consistent class intervals.
• Data Visualization: Simplifying the representation of data distributions.
• Statistical Analysis: Facilitating frequency distribution calculations.

4. Using the Calculator

Example:

• max = 100, min = 0, n = 5: \( \text{class width} = \frac{100 - 0}{5} = 20 \).
• max = 50, min = 10, n = 4: \( \text{class width} = \frac{50 - 10}{4} = 10 \).

5. Frequently Asked Questions (FAQ)

Q: What if max is less than min?
A: The result will be negative; ensure max > min for meaningful class width.

Q: Can n be zero?
A: No, n must be at least 1 to avoid division by zero.

Q: How to choose n?
A: Select based on data range and desired granularity, typically 5-20 classes.

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