Statistics Tool
Median Calculator
Find the median or exact middle value of any dataset. Learn how to compute the median for both even and odd count lists with worked steps.
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Interactive Median Calculator Workspace
Calculated Median5
Sorting & Median Identification
1. Sort the dataset in ascending order:
12358910
2. Identify middle element(s):
The dataset count is 7 (Odd).
Since the dataset is odd, the median is the exact middle element at index 4 (value: 5).
Mathematical Formula & Variables
Equation Model
Median = x_[(N+1)/2] (odd) or (x_[N/2] + x_[N/2 + 1]) / 2 (even)The median is the exact center value of a sorted dataset. For an odd count of items, it is the center item. For an even count of items, it is the average of the two middle values.
Variable Definitions
| Symbol | Description |
|---|---|
| N | Total number of items in the sorted dataset |
| x_i | The value at position i in the sorted dataset |
How to Use the Median Calculator
- Enter your list of numbers separated by commas, spaces, or lines.
- The tool will automatically sort the data in ascending order.
- The calculator highlights the middle element(s) and provides the step-by-step average if the list count is even.
Practical Example Calculation
Scenario Context: Finding the median home selling price in thousands: 350, 420, 290, 310, 600, 380.
Step 1: Sort the list in ascending order: 290, 310, 350, 380, 420, 600.
Step 2: Count the numbers: N = 6 (even).
Step 3: Identify the two middle numbers at positions N/2 (3rd) and N/2 + 1 (4th): 350 and 380.
Step 4: Calculate the average of the middle numbers: (350 + 380) / 2 = 365.
The median home selling price is $365,000 (365.00).
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