How to Calculate the Mean Deviation of Data Set 8, 9, 12, 15, 16, 20, 24, 30?

Learn step-by-step how to calculate the mean deviation of the data set 8, 9, 12, 15, 16, 20, 24, 30 with a clear example.

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The mean deviation of the data 8, 9, 12, 15, 16, 20, 24, 30 is approximately 5.5. Calculate the mean as 16.75. Then, find the absolute deviations from the mean for each data point: 8.75, 7.75, 4.75, 1.75, 0.75, 3.25, 7.25, 13.25. Finally, average these deviations to get the mean deviation.

FAQs & Answers

  1. What is mean deviation in statistics? Mean deviation is the average of the absolute differences between each data point and the mean of the data set, measuring variability.
  2. How do you calculate mean deviation from the mean? Calculate the mean of the data, find the absolute difference between each value and the mean, then average those differences.
  3. What is the difference between mean deviation and standard deviation? Mean deviation uses absolute differences from the mean while standard deviation uses squared differences, placing more weight on larger deviations.

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