How to Calculate Mean Deviation About Median for a Data Set

Learn step-by-step how to find the mean deviation about the median for a given data set, including example calculations and interpretation.

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Mean Deviation about Median: To find the mean deviation about the median, first determine the median of the data set 38, 70, 48, 34, 63, 42, 55, 44, 53, 47. Order it: 34, 38, 42, 44, 47, 48, 53, 55, 63, 70. The median is 47.5. Calculate the absolute deviations from the median and then the average of those deviations. The mean deviation about the median is approximately 10.95.

FAQs & Answers

  1. What is mean deviation about the median? Mean deviation about the median is the average of the absolute differences between each data point and the median of the data set, measuring variability.
  2. How do you calculate the mean deviation about the median? First, arrange the data and find the median. Then calculate the absolute deviations of each data point from the median, and finally find the average of these absolute deviations.
  3. Why use mean deviation about median instead of mean? Mean deviation about the median is less affected by extreme values (outliers) than mean deviation about the mean, providing a more robust measure of variability.

Watch More

For more insights on statistical measures, check out our tutorials on mean deviation about mean, variance, and standard deviation. Understanding these concepts will enhance your data analysis skills.

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