Subjects statistics

Mean Absolute Deviation 9Bdb52

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1. **Stating the problem:** We need to find the mean absolute deviation (simpangan rata-rata) of the data set: 4, 3, 5, 7, 6. 2. **Formula:** The mean absolute deviation is given by: $$\text{MAD} = \frac{1}{n} \sum_{i=1}^n |x_i - \bar{x}|$$ where $n$ is the number of data points, $x_i$ are the data points, and $\bar{x}$ is the mean of the data. 3. **Calculate the mean $\bar{x}$:** $$\bar{x} = \frac{4 + 3 + 5 + 7 + 6}{5} = \frac{25}{5} = 5$$ 4. **Calculate the absolute deviations:** $$|4 - 5| = 1$$ $$|3 - 5| = 2$$ $$|5 - 5| = 0$$ $$|7 - 5| = 2$$ $$|6 - 5| = 1$$ 5. **Sum the absolute deviations:** $$1 + 2 + 0 + 2 + 1 = 6$$ 6. **Calculate the mean absolute deviation:** $$\text{MAD} = \frac{6}{5} = 1.2$$ **Final answer:** The mean absolute deviation of the data is $1.2$.