1. The problem asks about the possible values of the average height of a group of 5 people with heights $h_1 < h_2 < h_3 < h_4 < h_5$. 2. The average height $\bar{h}$ is calculated by the formula: $$\bar{h} = \frac{h_1 + h_2 + h_3 + h_4 + h_5}{5}$$ 3. Since $h_1, h_2, h_3, h_4, h_5$ are in increasing order, the average must lie between the smallest and largest values, i.e., $$h_1 \leq \bar{h} \leq h_5$$ 4. The average is generally not equal to any one of the individual heights unless all heights are equal, which is not the case here. 5. Therefore: - Statement A is false because the average does not have to be one of the 5 values. - Statement B is false because the average does not have to be one of the middle three values. - Statement C is true because the average can take any value between $h_1$ and $h_5$. - Statement D is false because the average does not have to be exactly $h_3$. Final answer: The correct statement is C.