1. What is Range?

The range is the difference between the maximum and minimum values in a dataset. It's a simple measure of statistical dispersion that shows how spread out the values are.

2. How Does the Calculator Work?

The calculator uses the range formula:

Where:

• \( R \) — Range (same units as data)
• \( max \) — Maximum value in dataset
• \( min \) — Minimum value in dataset

Explanation: The range gives the span between the highest and lowest values, providing a quick estimate of data variability.

3. Importance of Range Calculation

Details: Range is fundamental in descriptive statistics, helping to understand data spread quickly. It's used in quality control, weather forecasting, and various scientific measurements.

4. Using the Calculator

Tips: Enter the maximum and minimum values from your dataset. The calculator will compute the difference between them. Both values must be valid numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are the limitations of range?
A: Range is sensitive to outliers and doesn't show how data is distributed between the extremes.

Q2: How does range differ from standard deviation?
A: Range only considers two values (max and min), while standard deviation considers all data points and their distance from the mean.

Q3: When is range most useful?
A: For small datasets or when you need a quick estimate of variability. For larger datasets, other measures like IQR or standard deviation are often more informative.

Q4: Can range be negative?
A: No, range is always non-negative as it's the difference between the largest and smallest values.

Q5: How should I interpret a range of zero?
A: A range of zero indicates all values in your dataset are identical (no variability).