How to Calculate the Mean Deviation of a Data Set: Example with 8, 9, 12, 15, 16, 20, 24, 30, 32, 34

Learn how to calculate the mean deviation step-by-step using the numbers 8, 9, 12, 15, 16, 20, 24, 30, 32, and 34 with clear examples.

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Mean Deviation: First, find the mean of the numbers 8, 9, 12, 15, 16, 20, 24, 30, 32, and 34, which totals 200. Divide 200 by 10 numbers to get the mean of 20. Next, calculate the absolute deviations from the mean: 12, 11, 8, 5, 4, 0, 4, 10, 12, and 14. Sum these deviations to get 80. Finally, divide 80 by 10 to find the mean deviation of 8.

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.
  2. How do you calculate mean deviation? To calculate mean deviation, find the mean of the data set, find the absolute differences from the mean for each value, sum those differences, and then divide by the total number of data points.
  3. Why is mean deviation important? Mean deviation helps measure the variability or dispersion in a data set, indicating how spread out the numbers are around the mean.

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For those interested in enhancing their understanding of statistical measures, check out our related videos on variance, standard deviation, and mean calculations to deepen your data analysis skills.

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