How to Calculate Mean Deviation of Data Set {3, 10, 4, 7, 10, 5} Step-by-Step
Learn how to calculate the mean deviation from the data set {3, 10, 4, 7, 10, 5} with this clear step-by-step guide and example.
0 views
To find the mean deviation of the data set {3, 10, 4, 7, 10, 5}, follow these steps: 1) Calculate the mean: (3+10+4+7+10+5) / 6 = 6.5. 2) Find the absolute deviations from the mean: |3-6.5|, |10-6.5|, |4-6.5|, |7-6.5|, |10-6.5|, |5-6.5|. 3) Calculate the mean of these absolute deviations: (3.5+3.5+2.5+0.5+3.5+1.5) / 6 ≈ 2.17. The mean deviation is approximately 2.17.
FAQs & Answers
- 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.
- How do you calculate the mean deviation from a data set? Calculate the mean of the data set, find the absolute deviations of each data point from the mean, then compute the average of these absolute deviations.
- Why is mean deviation important in data analysis? Mean deviation measures the average variability in a data set, helping to understand how spread out the data points are from the mean.