Explanation:

- Let’s analyze the given ratios.

- The mode to median ratio is \( \frac{9}{8} \).

- Let's represent the median by \( M \). Then, the mode is \( \frac{9}{8}M \).

- We assume the simplest context where the arithmetic mean \( \mu \), median \( M \), and mode are related.

- For simplicity, assume values: Median \( M \), Mode \( \frac{9}{8}M \). Generally mean \( \mu \) is influenced by both.

- For balanced or symmetrically distributed data, mean \( \approx \) median.

- Trying out with simple cases: for validation \(\mu/M\), often mean would be aligned slightly differently around median due to presence of more extreme values.

- Option 3: 15 : 16 is interesting, think when median closely matches distribution symmetrically.

Option 3: 15 : 16 —

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