1. What is Range in Statistics?

The range is the simplest measure of variability in statistics, representing the difference between the highest and lowest values in a dataset. It gives a quick sense of how spread out the data is.

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 shows the span of the dataset by subtracting the smallest value from the largest value.

3. Importance of Range Calculation

Details: While simple, the range provides a quick estimate of data dispersion. It's useful for identifying outliers and understanding the spread of measurements.

4. Using the Calculator

Tips: Enter the maximum and minimum values from your dataset. Both values must be numeric, and the maximum must be greater than the minimum.

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: When should I use range vs standard deviation?
A: Range gives a quick overview, while standard deviation provides more detailed information about data spread.

Q3: Can range be negative?
A: No, range is always non-negative as it's the difference between max and min values.

Q4: How does range relate to interquartile range?
A: Interquartile range measures middle 50% of data, making it less sensitive to outliers than full range.

Q5: Is range affected by sample size?
A: Generally, larger samples may have wider ranges as they're more likely to include extreme values.