Answer
See the explanation
Work Step by Step
$$12,9,17,15,10$$
Arrange in ascending order:
$$9,10,12,15,17$$
The median is middle term $12$
There is no mode since none of the values occurs more often than others.
The mean is:
$$\frac{9+10+12+15+17}{5}=\frac{63}{5}=12.6$$
The median best describes the data because mean is more than most of the data values and there is no mode.