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Median Deviation 49C0Dc

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Median Deviation 49C0Dc


1. **Problem:** Calculate the Median Deviation for the data set 5, 7, 8, 10, 15. 2. **Step 1: Find the median of the data.** Order the data: 5, 7, 8, 10, 15. The median is the middle value: $8$. 3. **Step 2: Calculate the absolute deviations from the median.** $$|5-8|=3,\quad |7-8|=1,\quad |8-8|=0,\quad |10-8|=2,\quad |15-8|=7$$ 4. **Step 3: Find the median of these absolute deviations.** Order deviations: 0, 1, 2, 3, 7. Median deviation is the middle value: $2$. **Final answer:** Median Deviation = $2$.