Final answer:
The survey showing a mean of 6 sodas and a median of 2 per week indicates a positively skewed distribution due to the mean being higher than the median.
Step-by-step explanation:
When students state how many sodas they drink per week and the results show a mean of 6 sodas per week and a median of 2 sodas per week, this indicates that the distribution is positively skewed. This means that there are more students drinking fewer sodas per week, with a small number of students drinking a much higher number of sodas per week, pulling the mean higher. In a positively skewed distribution, also known as right-skewed, the mean is typically greater than the median because the outlying high values bring the average up. A symmetric distribution would have a mean and median that are close together, while a negatively skewed distribution would have a mean that is less than the median. The distribution is not likely to be bimodal since this would imply two different 'peaks' in the data, which is not indicated by the relationship between the mean and median.