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 find the mean deviation step-by-step using the data set 8, 9, 12, 15, 16, 20, 24, 30, 32, 34 in this simple tutorial.

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To find the mean deviation: First, calculate the mean (8+9+12+15+16+20+24+30+32+34)/10 = 20. Next, find the absolute deviations: |8-20|, |9-20|, |12-20|, |15-20|, |16-20|, |20-20|, |24-20|, |30-20|, |32-20|, |34-20|, which sum to 104. Divide by the number of data points (10): 104/10 = 10.4.

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 dispersion.
  2. How do you calculate mean deviation? Calculate the mean of the data set, find the absolute difference of each data point from the mean, sum these absolute differences, 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 and is more sensitive to outliers.

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