Understanding the Median | A Robust Measure of Central Tendency for Statistical Analysis

median

The median is a statistical measure of central tendency

The median is a statistical measure of central tendency. It is defined as the middle value in a data set when it is arranged in ascending or descending order. To find the median, you first need to sort the data set.

If the data set has an odd number of values, then the median is the middle value. For example, consider the data set: 1, 3, 5, 7, 9. The middle value is 5, so the median is 5.

If the data set has an even number of values, then the median is the average of the two middle values. For example, consider the data set: 2, 4, 6, 8. The two middle values are 4 and 6, so the median is (4 + 6) / 2 = 5.

The median is useful in describing a data set because it is not influenced by extreme values, unlike the mean. It provides a measure of the central value that is resistant to outliers. For example, if you have a data set of salaries where most people earn around $50,000 but a few earn millions, the median salary would still accurately represent the typical earnings of the majority of people, unlike the mean.

The median is commonly used in various fields such as statistics, economics, and data analysis to provide a robust measure of central tendency.

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