# Quick Math Median

## Quick Math Median

1
##### Enter expression in this form

Example (dataset):  5,   7,   8,   9  10

Enter dataset separated by a comma

### Median in Statistics

The median is another measure of central tendency, representing the middle value of a dataset when the values are arranged in ascending or descending order. Unlike the mean, the median is not affected by extremely large or small values, making it a useful measure of central tendency for skewed distributions.

#### Finding the Median

1. Arrange the data in order: Sort the dataset from smallest to largest.
2. Determine the position:
– If the number of values ($$n$$) is odd, the median is the middle value.
– If the number of values ($$n$$) is even, the median is the average of the two middle values.

#### Example

Let’s consider the following dataset representing the ages of participants in a survey:

$23, 29, 31, 35, 42$

#### To find the median age:

1. Arrange the values in ascending order (already done):

$23, 29, 31, 35, 42$

2. Count the number of values:

There are 5 values in the dataset.

3. Determine the position of the median:

Since $$n = 5$$ (an odd number), the median is the middle value, which is the 3rd value in this sorted list.

4. Identify the median:

The 3rd value is $$31$$.

So, the median age of the participants in the survey is 31.

This example shows how to find the median by arranging the data and locating the middle value, providing a clear process for identifying the central point of a dataset.