1. What is Median?

The median is the middle value in a sorted list of numbers. For datasets with an even number of observations, the median is calculated as the average of the two middle numbers.

2. How to Calculate Median for Even Numbers

The formula for calculating median with even number of data points:

Where:

• \( n \) — Total number of data points
• Value at \( \frac{n}{2} \) — The middle-left value in the sorted dataset
• Value at \( \frac{n}{2} + 1 \) — The middle-right value in the sorted dataset

Example: For dataset [3, 5, 7, 9], n=4. Median = (5 + 7)/2 = 6.

3. When to Use Median

Details: Median is preferred over mean for skewed distributions as it's less affected by outliers. It's commonly used in income, housing prices, and other economic data.

4. Using the Calculator

Tips: Enter your numbers separated by commas. The calculator will sort them and find the median. Works with any number of data points (even or odd).

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between median and mean?
A: Median is the middle value, while mean is the average. Median is less affected by extreme values.

Q2: How is median calculated for odd number of data points?
A: For odd n, median is simply the middle value at position (n+1)/2 in the sorted list.

Q3: Does the calculator work with decimal numbers?
A: Yes, the calculator handles both integers and decimal numbers.

Q4: What if my data has text or non-numeric values?
A: The calculator will ignore non-numeric values in your input.

Q5: Why is median important in statistics?
A: Median provides a better central tendency measure for skewed data and is robust to outliers.