The monthly car payments for Ted Nelson's last eight customers were $266, $285, $285, $285, $285, $315, $325, and $344. Decide whether the mode represents these data well. Explain.

Please help, I think yes, because it has a mode and it makes up half of the data, but I'm not sure.

To determine whether the mode represents the data well, let's first understand what the mode is. The mode is the value that appears most frequently in a set of data.

Looking at the given data set:
266, 285, 285, 285, 285, 315, 325, 344

To find the mode, we need to identify the value that appears most frequently. In this case, we can see that the value 285 appears four times, while the other values appear only once or twice. Therefore, 285 is the mode for this data set.

Now, let's evaluate whether the mode represents the data well. In this specific case, we can argue that the mode does represent the data well for the following reasons:

1. Frequency: The mode, which is 285, appears the most frequently. It occurs four times, which is the highest frequency among all the values. This indicates that $285 is a common monthly car payment amount for Ted Nelson's customers.

2. Representation: Given that there are only eight data points, having a mode that represents half of the data (i.e., four out of eight) suggests that this mode is a significant value in the data set. This level of representation reinforces the idea that $285 is a meaningful and prevalent car payment amount for Ted Nelson's customers.

Therefore, based on these observations, it is reasonable to conclude that the mode of $285 represents the data well in this scenario.