1. **Stating the problem:** We have an ordered data set of integers: $7, a, b, 10, c, 13$ where $a, b, c$ are unknown integers. 2. The data has **no mode**, meaning no number repeats. 3. We define $p = a + b + c$ and want to find the average (mean) of all possible values of $p$ that satisfy the no mode condition. 4. **Important rules:** - The data is ordered: $7 \leq a \leq b \leq 10 \leq c \leq 13$. - No mode means all values are distinct. 5. Since $7$ and $10$ are fixed, and $a, b, c$ are integers between these values, we must find all triples $(a,b,c)$ with $7 < a < b < 10 < c < 13$ or equalities allowed only if no repetition. 6. Because the data is ordered and no repeats, the inequalities are strict: $7 < a < b < 10 < c < 13$. 7. Possible values for $a$ are integers between 7 and 10 (excluding 7 and 10): $8, 9$. 8. For each $a$, $b$ must be an integer strictly between $a$ and 10. 9. For each $b$, $c$ must be an integer strictly between 10 and 13. 10. Enumerate all possible triples: - If $a=8$, then $b$ can be $9$ (since $b < 10$ and $b > a$). - If $a=9$, then $b$ must be greater than 9 and less than 10, which is impossible. 11. So only $a=8$, $b=9$ is possible. 12. For $c$, possible values are $11, 12$ (since $10 < c < 13$). 13. Calculate $p = a + b + c$ for each $c$: - For $c=11$, $p = 8 + 9 + 11 = 28$. - For $c=12$, $p = 8 + 9 + 12 = 29$. 14. The average of all possible $p$ values is: $$\frac{28 + 29}{2} = \frac{57}{2} = 28.5$$ 15. Since the problem asks for an integer answer, and the average is $28.5$, the problem likely expects the average as a decimal or fraction. But since the instruction says "jawaban berupa angka (bilangan bulat tanpa koma atau titik)" (answer as integer without decimal), we can interpret the average as $28.5$ but the problem might want the integer part or the exact average. 16. The exact average is $28.5$. **Final answer:** $28.5$