How to Calculate the Mean Deviation of the Numbers 2, 4, 6, 8, 10, 12?

Learn step-by-step how to calculate the mean deviation of the data set 2, 4, 6, 8, 10, 12 with a clear example.

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Mean deviation measures the average of how much each number in a set deviates from the mean. For the numbers 2, 4, 6, 8, 10, 12: 1. Find the mean: (2+4+6+8+10+12)/6 = 7 2. Calculate the absolute deviations: |2-7|=5, |4-7|=3, |6-7|=1, |8-7|=1, |10-7|=3, |12-7|=5 3. Mean deviation: (5+3+1+1+3+5)/6 = 3.**

FAQs & Answers

  1. What is mean deviation in statistics? Mean deviation is a measure of dispersion that indicates the average absolute difference between each data value and the mean of the data set.
  2. How do you calculate mean deviation step-by-step? To calculate mean deviation, first find the mean of the data set, then calculate the absolute difference of each value from the mean, and finally average those differences.
  3. Why is mean deviation important? Mean deviation helps to understand the variability or spread in a data set, giving insight into how data points differ from the average.

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For more insights on statistical measures, explore our related videos and articles on variance, standard deviation, and measures of central tendency to deepen your understanding of data analysis.

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