# Median in Statistics: What Does it Mean

## What is Median in Statistics?

The term “median” in statistics refers to the middle value in a data set when the data points are arranged in ascending or descending order. If the data set contains an odd number of observations, the median is the middle number. If the data set contains an even number of observations, the median is the average of the two middle numbers.

## Understanding the Concept of Median

The concept of median is a fundamental part of descriptive statistics, which is a branch of statistics that deals with the organization, summarization, and presentation of data. The median is a measure of central tendency, which is a single value that attempts to describe a set of data by identifying the central position within that set of data.

### How is the Median Calculated?

Calculating the median involves a few simple steps. First, the data set must be arranged in order of magnitude, from smallest to largest or vice versa. If the data set has an odd number of observations, the median is the middle number. If the data set has an even number of observations, the median is calculated by averaging the two middle numbers.

For example, consider the following data set: 1, 3, 3, 6, 7, 8, 9. The median of this data set is 6, as it is the number that falls exactly in the middle.

For an even data set, such as 1, 3, 3, 6, 7, 8, the median is calculated by averaging the two middle numbers, in this case, 3 and 6, which gives us a median of 4.5.

## Applications of Median in Real Life

The median is widely used in various fields, including economics, sociology, psychology, and other social sciences. It is particularly useful when dealing with skewed distributions, as it is not affected by extreme values.

For instance, in economics, the median income is often used instead of the average income to give a more accurate picture of a typical individual’s earnings. This is because the average can be skewed by a small number of very high earners, whereas the median provides a more representative measure of central tendency.

## Advantages and Limitations of Using Median

One of the main advantages of using the median is that it is not affected by outliers or extreme values. This makes it a more reliable measure of central tendency for skewed distributions.

However, the median also has its limitations. It does not take into account the value of every data point in a data set. This means that it may not accurately represent the data if the data set contains a lot of variation.

In conclusion, the median is a valuable tool in statistics that provides a measure of central tendency. It is particularly useful when dealing with skewed distributions, as it is not affected by extreme values. However, like all statistical measures, it has its limitations and should be used in conjunction with other measures to provide a comprehensive understanding of a data set.