1. **Stating the problem:** We are given the distribution of parents' job status for students in classes A, B, and C. We need to determine which class has the most varied (heterogeneous) or most homogeneous job status distribution. 2. **Understanding the concept:** To measure variation or homogeneity in categorical data, we can use the concept of variance or diversity indices. Here, a simple approach is to calculate the variance or standard deviation of the counts in each class. 3. **Data given:** - Class A counts: 20 (ASN), 1 (TNI), 1 (POLRI), 11 (WIRASWASTA) - Class B counts: 25, 4, 1, 3 - Class C counts: 30, 1, 1, 1 4. **Formula for variance:** $$\text{Variance} = \frac{1}{n} \sum_{i=1}^n (x_i - \bar{x})^2$$ where $x_i$ are the counts and $\bar{x}$ is the mean count for the class. 5. **Calculate mean for each class:** - Class A mean: $\bar{x}_A = \frac{20 + 1 + 1 + 11}{4} = \frac{33}{4} = 8.25$ - Class B mean: $\bar{x}_B = \frac{25 + 4 + 1 + 3}{4} = \frac{33}{4} = 8.25$ - Class C mean: $\bar{x}_C = \frac{30 + 1 + 1 + 1}{4} = \frac{33}{4} = 8.25$ 6. **Calculate variance for each class:** - Class A: $$\begin{aligned} \text{Var}_A &= \frac{(20 - 8.25)^2 + (1 - 8.25)^2 + (1 - 8.25)^2 + (11 - 8.25)^2}{4} \\ &= \frac{(11.75)^2 + (-7.25)^2 + (-7.25)^2 + (2.75)^2}{4} \\ &= \frac{138.06 + 52.56 + 52.56 + 7.56}{4} = \frac{250.74}{4} = 62.685 \end{aligned}$$ - Class B: $$\begin{aligned} \text{Var}_B &= \frac{(25 - 8.25)^2 + (4 - 8.25)^2 + (1 - 8.25)^2 + (3 - 8.25)^2}{4} \\ &= \frac{(16.75)^2 + (-4.25)^2 + (-7.25)^2 + (-5.25)^2}{4} \\ &= \frac{280.56 + 18.06 + 52.56 + 27.56}{4} = \frac{378.74}{4} = 94.685 \end{aligned}$$ - Class C: $$\begin{aligned} \text{Var}_C &= \frac{(30 - 8.25)^2 + (1 - 8.25)^2 + (1 - 8.25)^2 + (1 - 8.25)^2}{4} \\ &= \frac{(21.75)^2 + (-7.25)^2 + (-7.25)^2 + (-7.25)^2}{4} \\ &= \frac{473.06 + 52.56 + 52.56 + 52.56}{4} = \frac{630.74}{4} = 157.685 \end{aligned}$$ 7. **Interpretation:** - Class A variance = 62.685 - Class B variance = 94.685 - Class C variance = 157.685 Higher variance means more variation in job status distribution. 8. **Conclusion:** Class C has the highest variance, so it is the most varied (heterogeneous) in terms of parents' job status. Class A has the lowest variance, so it is the most homogeneous. This matches the data since Class C has one very large count (30) and three very small counts (1), showing high disparity. **Final answer:** Class C has the most varied job status distribution, Class A the most homogeneous.