Final Answer:
For the given histogram of monthly rents, a reasonable measure of central tendency would be the median and the mode. The median provides the middle value, which is less affected by extreme values, while the mode indicates the most frequently occurring rent range, capturing the central trend in the data.
Step-by-step explanation:
In a histogram displaying monthly rents reported by university students, the median is a suitable measure of central tendency. It represents the middle value when the data is arranged in ascending or descending order. The median is less sensitive to extreme values, making it reliable for skewed distributions.
Additionally, the mode can be a relevant measure for this data set. The mode identifies the most frequently occurring rent range, highlighting the central trend. In the context of monthly rents, the mode can indicate the most common rental amount reported by university students.
While the mean is a standard measure of central tendency, it might be influenced by outliers or extreme values, which could be present in the rent data. Therefore, the median and mode are often preferred for datasets with skewed distributions or potential outliers, providing a more robust representation of the central tendency. In summary, the choice of central tendency measures depends on the characteristics of the data, and for the given histogram of monthly rents, the median and mode are reasonable choices.