Final answer:
Determining which measure of central tendency is the most representative of Connor's pencil data requires considering the distribution. Typically, the median is the best choice when there are outliers, and the mode indicates the most common value.
Step-by-step explanation:
When considering which measure of central tendency best represents the number of pencils Connor's classmates have in their backpacks, it is important to take into account the shape of the distribution. The data presented (5, 1, 3, 9, 2, 2, 0, 10, 7) does not appear to follow a symmetric distribution. To find the median, we would arrange the numbers in order and find the middle value, which in this case would be the 5th value when sorted, yielding a median of 3.
However, without the actual values for the mean and the mode, determining which measure of central tendency is the most representative for Connor's pencil data can be challenging. But typically, the median is often the best measurement of central tendency when a data set contains outliers since it is less affected by extremely high or low values. Additionally, the mode can represent the most common value found within the data set.