MEDIAN function

1 year ago

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The MEDIAN function in Excel is used to find the median value in a set of numbers. The median is the middle value in a dataset when the numbers are arranged in ascending or descending order. If the dataset has an even number of values, the median is the average of the two middle numbers.

Syntax:

MEDIAN(number1, [number2], ...)

Arguments:

number1: Required. The first number, cell reference, or range of values to evaluate.
number2, …: Optional. Additional numbers, cell references, or ranges to evaluate. You can include up to 255 arguments.

Output:

The function returns the median value from the provided set of numbers, cell references, or ranges.

How It Works:

The MEDIAN function sorts the numbers in ascending order, then finds the middle value:

If there is an odd number of values, the median is the middle value.
If there is an even number of values, the median is the average of the two middle values.

Example:

Example 1: Finding the Median of an Odd Set of Numbers Suppose you have the following set of numbers:
```
10, 20, 30, 40, 50
```
Using the formula:
```
=MEDIAN(10, 20, 30, 40, 50)
```
The function will return 30, because it is the middle value in the sorted list.
Example 2: Finding the Median of an Even Set of Numbers Suppose you have the following set of numbers:
```
10, 20, 30, 40
```
Using the formula:
```
=MEDIAN(10, 20, 30, 40)
```
The function will return 25, which is the average of the two middle values (20 and 30).
Example 3: Finding the Median from a Range of Cells Suppose you have numbers in cells A1 to A5:
```
A1: 15
A2: 25
A3: 35
A4: 5
A5: 45
```
Using the formula:
```
=MEDIAN(A1:A5)
```
The function will return 25, because when the values are sorted (5, 15, 25, 35, 45), 25 is the middle value.
Example 4: Using a Combination of Numbers and Cell References Suppose you have the following data in cells A1, A2, and B1:
```
A1: 100
A2: 200
B1: 300
```
Using the formula:
```
=MEDIAN(A1, A2, B1)
```
The function will return 200, which is the middle value of the three numbers.

Key Points:

Odd number of values: The median is the exact middle value in the sorted list.
Even number of values: The median is the average of the two middle values.
MEDIAN ignores non-numeric values in the data. If a cell contains text, it is skipped.
If the dataset contains duplicate values, the median still works based on the sorted order.

Use Cases:

Statistics: Calculate the median for a dataset to understand the central tendency, especially when the dataset has outliers that may affect the mean.
Finance: Find the median price, salary, or return on investment when dealing with skewed data.
Surveys: Determine the median response when analyzing survey results or feedback.

Notes:

The MEDIAN function can handle numbers, cell references, and ranges. It ignores empty cells and text.
If all values in the dataset are the same, the median will be equal to that value.

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