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 $1.2$.
Mean Absolute Deviation 9Bdb52
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