The average kinetic energy of water particles is directly related to the temperature of the water. According to the data provided:
- Sample 1: 15 ºC
- Sample 2: 8 ºC
- Sample 3: 22 ºC
- Sample 4: 4 ºC
Among the samples, Sample 3, which has a temperature of 22 ºC, has the highest temperature. Therefore, Sample 3 has water particles that have the greatest average kinetic energy.
So, the answer is 3.