How to Calculate Mean Deviation Through the Mean for a Data Set
Learn the step-by-step process to calculate the mean deviation through the mean for data like 6, 8, 12, 15, 10, 9 in simple terms.
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To calculate the mean deviation through the mean for the set 6, 8, 12, 15, 10, 9: First, find the mean (average), which is (6+8+12+15+10+9)/6 = 10. Then, find the absolute deviations from the mean: |6-10|=4, |8-10|=2, |12-10|=2, |15-10|=5, |10-10|=0, |9-10|=1. The mean deviation is the average of these absolute deviations: (4+2+2+5+0+1)/6 ≈ 2.33. This measure helps understand how spread out the values are from the average.
FAQs & Answers
- What is mean deviation and why is it important? Mean deviation is a measure of dispersion that calculates the average of absolute deviations from the mean, helping to understand how spread out values in a data set are.
- How do you calculate mean deviation through the mean? To calculate mean deviation through the mean, first find the mean of the data set, then find the absolute difference of each value from the mean, and finally average those absolute differences.
- What is the difference between mean deviation and standard deviation? Mean deviation uses absolute deviations from the mean, while standard deviation uses squared deviations, making standard deviation more sensitive to outliers.