1. What is Median and Range?

The median is the middle value in a sorted list of numbers. The range (R) is the difference between the maximum and minimum values in the dataset. These are fundamental descriptive statistics that help understand data distribution.

2. How Does the Calculator Work?

The calculator uses these formulas:

Where:

• \( \max \) — Maximum value in dataset
• \( \min \) — Minimum value in dataset
• \( R \) — Range of the dataset

Explanation: For median calculation with even number of values, the average of the two middle numbers is taken.

3. Importance of Median and Range

Details: The median provides a robust measure of central tendency that isn't affected by outliers, while the range gives a simple measure of data dispersion.

4. Using the Calculator

Tips: Enter numbers separated by commas (e.g., 5, 12, 7, 3). The calculator will ignore non-numeric values and calculate statistics from valid numbers.

5. Frequently Asked Questions (FAQ)

Q1: When should I use median instead of mean?
A: Use median when your data has outliers or is skewed, as it's less affected by extreme values than the mean.

Q2: What does a large range indicate?
A: A large range suggests wide variability in your data points, while a small range indicates values are close together.

Q3: How does the calculator handle empty input?
A: The calculator requires at least one valid number to compute statistics. Invalid entries are ignored.

Q4: Can I use this for very large datasets?
A: While it works for large datasets, extremely large datasets might be better handled with statistical software.

Q5: What's the difference between range and interquartile range?
A: Range considers all data points, while interquartile range (IQR) considers only the middle 50% of data, making it less sensitive to outliers.