Median Calculator

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Date publish: 16.09.2024   |   Author: Calcwizard

Understanding the Median

The median is a crucial statistical measure that represents the middle value of a data set when it is ordered from least to greatest. Unlike the mean, which can be skewed by extreme values, the median provides a more accurate reflection of the central tendency in a data set, especially when dealing with outliers.

Why is the Median Important?

  • The median is often used in real estate to determine property values.
  • It is a key measure in income statistics, providing a clearer picture of economic status than the average.
  • In research, the median can indicate the typical response in surveys, especially when responses vary widely.

How to Calculate the Median

To find the median:

  1. Arrange the numbers in ascending order.
  2. If the count of numbers is odd, the median is the middle number.
  3. If the count is even, the median is the average of the two middle numbers.

Examples of Median Calculation

Data Set Median
3, 5, 7, 9, 11 7
2, 4, 6, 8 5
1, 3, 3, 6, 7, 8, 9 6
10, 20, 30, 40, 50, 60 35
5, 15, 25, 35, 45, 55, 65, 75 40

Interesting Facts About the Median

  • The median is less affected by extreme values, making it a preferred measure in skewed distributions.
  • In a normal distribution, the median, mean, and mode are all equal.
  • The median can be used in various fields, including economics, psychology, and health sciences, to analyze data effectively.

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