Short Answer
The Mean Absolute Deviation (MAD) currently stands at 10, indicating a certain level of data variability. Adding drawings from Amy will decrease the MAD due to lower variability in her contributions, while drawings from Emily will increase the MAD because of their higher variability.
Step 1: Understand the Current MAD
The Mean Absolute Deviation (MAD) is a measure of how spread out the values in a data set are from the average. In this case, the current MAD of the data in the table is 10, which indicates a certain level of variability. It’s important to focus on the values and how they are distributed around the mean to comprehend how additional drawings will affect the MAD.
Step 2: Analyze Amy’s Drawings Impact
If the additional drawings come from Amy, it is stated that the MAD of the dataset will decrease. This suggests that Amy’s contributions likely have less variability compared to the existing data, thereby pulling the overall spread closer to the mean. The addition of less diverse data points reduces the average distance of all data points from the mean, ultimately leading to a lower MAD.
Step 3: Analyze Emily’s Drawings Impact
In contrast, if the additional drawings are from Emily, the MAD of the dataset will increase. This indicates that Emily’s contributions may possess higher variability,