Final answer:
The answer is d) a few carry either relatively heavy or light loads. The lower mean compared to the median indicates that therapists' client loads are unevenly distributed.
Step-by-step explanation:
The correct answer is option d) a few carry either relatively heavy or light loads. When the mean number of clients is lower than the median, this suggests that there is a skew in the distribution. Specifically, in this context, it indicates that a few therapists have lighter loads which are pulling the mean down. If all therapists carried about the same load, the mean and median would be quite close. A relatively high median compared to the mean suggests a few therapists handle more clients, creating an imbalance. Thus, this imbalance reflects that some therapists are likely handling significantly different client loads than their peers.
The mean load of 5.2 clients indicates the average number of clients per psychotherapist at the mental health clinic. However, the median load of 7.5 clients suggests that there are a few psychotherapists who have a relatively heavy load compared to the majority.For example, if there are 10 psychotherapists, and most of them have loads of around 5 or 6 clients, but a couple of them have loads of 15 or 20 clients, the median of the data set would be higher than the mean. This implies that there are a few psychotherapists who carry relatively heavy loads, while the majority carry lighter loads.