How to Calculate the Mean Deviation of a Data Set: Example with 3, 10, 10, 4, 7, 10, 5

Learn how to calculate the mean deviation of data points using a step-by-step example with values 3, 10, 10, 4, 7, 10, and 5.

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Mean deviation measures the average deviation of each data point from the mean. First, find the mean: (3+10+10+4+7+10+5)/7 = 7.0. Then, calculate the absolute deviations: |3-7|, |10-7|, |10-7|, |4-7|, |7-7|, |10-7|, and |5-7|. Sum these deviations (4+3+3+3+0+3+2 = 18) and divide by the number of data points (18/7). Thus, the mean deviation is approximately 2.57.

FAQs & Answers

  1. What is the 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? Calculate the mean of the data set, find the absolute deviation of each data point from the mean, sum these deviations, and divide by the number of data points.
  3. Is mean deviation the same as standard deviation? No, mean deviation uses absolute differences from the mean, while standard deviation uses squared differences, making it more sensitive to outliers.
  4. Why is mean deviation useful? Mean deviation provides a straightforward measure of the average variability or spread of data around the mean, useful for understanding data consistency.

Watch More

For a deeper understanding of statistical measures, check out related videos on variance, standard deviation, and how they differ from mean deviation in data analysis.

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