Final answer:
The median weight is 14 kg.
Step-by-step explanation:
The median weight is the middle value when the weights are arranged in ascending order. First, we need to arrange the weights in ascending order: 8 kg, 8 kg, 14 kg, 15 kg, 17 kg, 19 kg. Since there are six weights, the middle value is the third weight. Therefore, the median weight is 14 kg.