Median Calculator
Find the middle value of your dataset with step-by-step solution
Calculate Median
Enter numerical values one by one. New fields will appear automatically as needed.
Enter Your Data
Please enter at least one numerical value to calculate the median.
Example Calculations
Example 1: Odd Number of Values
Data: 58, 47, 55, 6, 5, 14, 60, 3, 39, 6, 28, 15, 87, 31, 19 (15 values)
Sorted: 3, 5, 6, 6, 14, 15, 19, 28, 31, 39, 47, 55, 58, 60, 87
Position: (15 + 1) ÷ 2 = 8th position
Median: 28 (the 8th value in the sorted list)
Example 2: Even Number of Values
Data: 71, 71, 5, 18, 98, 23, 53, 92, 74, 82, 65, 74, 97, 75, 87, 13 (16 values)
Sorted: 5, 13, 18, 23, 53, 65, 71, 71, 74, 74, 75, 82, 87, 92, 97, 98
Positions: 8th and 9th values (71 and 74)
Median: (71 + 74) ÷ 2 = 72.5
Example 3: Small Dataset
Data: 0, 1, 1, 18 (4 values)
Sorted: 0, 1, 1, 18
Positions: 2nd and 3rd values (both are 1)
Median: (1 + 1) ÷ 2 = 1
Median Properties
Median vs Mean
Median Symbols
Understanding the Median
What is the Median?
The median is the middle value of a dataset when arranged in ascending order. It divides the data into two equal halves: 50% of values are below the median, and 50% are above it.
Why Use the Median?
- •Less affected by extreme values (outliers) than the mean
- •Better represents "typical" value in skewed distributions
- •Useful for income data, test scores, and other real-world datasets
- •Provides a robust measure of central tendency
Calculation Methods
Remember: Always sort your data first before finding the median!
Real-World Applications
💰 Income Analysis
Median household income is preferred over mean income because it's not skewed by extremely high earners.
Mean: $280K, Median: $42.5K
🏠 Real Estate
Median home prices provide a better sense of the typical home value in an area.
realistic price expectations
📊 Test Scores
Median test scores show the performance of the "middle" student, unaffected by very high or low scores.
class performance