How to Calculate the Mean Deviation of a Data Set: Step-by-Step Example

Learn how to find the mean deviation of the data set 8,9,12,15,16,20,24,30,32,34 with a clear step-by-step method.

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To find the mean deviation of the data set 8, 9, 12, 15, 16, 20, 24, 30, 32, 34, follow these steps: 1. Calculate the mean: (8+9+12+15+16+20+24+30+32+34)/10 = 20 2. Find the absolute deviations: |8-20|, |9-20|, |12-20|, etc. 3. Average the absolute deviations: (12+11+8+5+4+0+4+10+12+14)/10 = 8 Thus, the mean deviation is 8.

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, measuring data dispersion.
  2. How do you calculate the mean deviation? Calculate the mean of the data, find the absolute deviations of each data point from the mean, then average those absolute deviations to get the mean deviation.
  3. Why is mean deviation important? Mean deviation helps to understand the average variability of data points around the mean, giving a simple measure of spread in a data set.

Watch More

For further practice, explore our related videos on measures of dispersion such as standard deviation and variance, which provide deeper insight into data variability and statistical analysis.

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