We cannot determine the relationship between the mean ACT scores without knowing the actual scores on the exam, even though we know that the median score is the same for both samples.
The median is the middle value of a dataset, and it does not necessarily reflect the mean or average score. The mean can be affected by extreme values, or outliers, in the dataset, which may not be reflected in the median.
Therefore, we cannot conclude anything about the relationship between the mean ACT scores of the two samples based solely on the information that the median score is the same for both samples. We would need to know the actual scores on the exam in order to determine the mean ACT score for each sample and compare them.