How to Calculate the Mean Deviation of the Data Set 2, 9, 9, 3, 6, 9, 4

Learn step-by-step how to find the mean deviation for the data set 2, 9, 9, 3, 6, 9, 4 with this clear tutorial.

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To calculate the mean deviation of the data set 2, 9, 9, 3, 6, 9, 4, follow these steps: First, determine the mean (average), which is (2+9+9+3+6+9+4)/7 = 6. Next, compute the absolute deviations from the mean: |2-6|, |9-6|, |9-6|, |3-6|, |6-6|, |9-6|, |4-6|. Summing these deviations gives 4+3+3+3+0+3+2 = 18. Finally, divide by the number of data points: 18/7 ≈ 2.57.

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. It measures the dispersion or spread of data.
  2. How do you calculate the mean deviation of a data set? To calculate mean deviation, find the mean of the data, calculate the absolute deviations of each value from the mean, sum all these deviations, and then divide by the number of data points.
  3. Why is absolute deviation used instead of regular deviation in mean deviation? Absolute deviation is used to avoid the negative and positive values canceling each other out, providing a measure of average distance from the mean regardless of direction.
  4. How is mean deviation different from standard deviation? Mean deviation uses absolute values and is simpler to compute, while standard deviation squares the deviations and provides more weight to larger differences.

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