1. What is Range of Data Set?

The range of a data set is the difference between the maximum and minimum values in the set. It provides a simple measure of statistical dispersion, showing how spread out the values in a data set are.

2. How Does the Calculator Work?

The calculator uses the range formula:

Where:

• \( \max \) — Maximum value in the data set
• \( \min \) — Minimum value in the data set

Explanation: The range is calculated by simply subtracting the smallest value from the largest value in the data set.

3. Importance of Range Calculation

Details: Range is a fundamental measure of variability in statistics. It provides a quick understanding of how spread out data values are, though it can be sensitive to outliers.

4. Using the Calculator

Tips: Enter the maximum and minimum values from your data set. Ensure the maximum value is greater than or equal to the minimum value for valid calculation.

5. Frequently Asked Questions (FAQ)

Q1: What are the limitations of using range?
A: Range only considers the extreme values and doesn't account for how other values are distributed, making it sensitive to outliers.

Q2: When is range most useful?
A: Range is most useful when you need a quick measure of spread and when your data doesn't contain extreme outliers.

Q3: How does range compare to other measures of dispersion?
A: Unlike standard deviation or interquartile range, range doesn't provide information about the distribution of values between the extremes.

Q4: Can range be negative?
A: No, range cannot be negative as it represents the difference between maximum and minimum values.

Q5: What if all values in my data set are the same?
A: If all values are identical, the range will be zero, indicating no variability in the data.