1. What is Range?

Range is a measure of statistical dispersion that represents the difference between the highest and lowest values in a dataset. It is one of the simplest measures of variability in statistics.

2. How to Calculate Range

The range is calculated using the formula:

Where:

• Maximum — The highest value in the dataset
• Minimum — The lowest value in the dataset

Explanation: The range gives a quick estimate of the spread of data but is sensitive to outliers, as a single extreme value can significantly affect the result.

3. Importance of Range Calculation

Details: Range provides a simple way to understand the spread of data points. It's useful in quality control, finance, and various scientific fields to quickly assess variability in measurements or observations.

4. Using the Calculator

Tips: Enter the maximum and minimum values from your dataset. Both values must be numerical, and the maximum should be greater than or equal to the minimum.

5. Frequently Asked Questions (FAQ)

Q1: What are the limitations of using range?
A: Range is highly sensitive to outliers and doesn't provide information about the distribution of values between the extremes.

Q2: When should I use range instead of other measures of dispersion?
A: Range is best used when you need a quick, simple measure of spread and when outliers are not a concern in your dataset.

Q3: Can range be negative?
A: No, range cannot be negative because it represents the difference between the maximum and minimum values, and maximum is always greater than or equal to minimum.

Q4: How does range compare to standard deviation?
A: Range only considers the extreme values, while standard deviation considers all data points and their distance from the mean, providing a more comprehensive measure of dispersion.

Q5: Is range affected by sample size?
A: Yes, range tends to increase with larger sample sizes as there's a higher probability of including more extreme values.