1. What is the Range of a Data Set?

The range is the difference between the largest and smallest values in a data set. 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 unit as data)
• \( max \) — Maximum value in the data set
• \( min \) — Minimum value in the data set

Explanation: The range gives the span of the entire data set, showing the distance between the extremes.

3. Importance of Range Calculation

Details: While simple, the range is useful for quickly understanding the spread of data. It's often used alongside other statistical measures.

4. Using the Calculator

Tips: Enter the maximum and minimum values from your data set. The calculator will compute the difference between them.

5. Frequently Asked Questions (FAQ)

Q1: What does a large range indicate?
A: A large range indicates that the values in the data set are widely dispersed.

Q2: What are limitations of the range?
A: The range is sensitive to outliers and doesn't show how data is distributed between the extremes.

Q3: Can the range be negative?
A: No, since maximum should always be greater than or equal to minimum, the range is always non-negative.

Q4: How is range different 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.

Q5: When is range most useful?
A: Range is most useful for small data sets or when you need a quick, simple measure of spread.