Greg teaches an art class. The table below shows how many drawings his students had
submitted by last Friday. Greg calculates the mean absolute deviation (MAD) of the data.
Then, one student submits 25 additional drawings. Greg cannot remember whether the
drawings are Amy’s or Emily’s, but he thinks the MAD will increase no matter who submitted
the drawings. Is Greg correct? Use the drop-down menus to explain your reasoning.
The Correct Answer and Explanation is :
To accurately answer your question and explain whether Greg is correct in thinking the MAD will increase no matter who submitted the additional 25 drawings, I’ll need to review the data that shows how many drawings his students had submitted by last Friday. Could you provide the table with the number of drawings each student has submitted so far?
Once I have that, I can calculate the current mean absolute deviation (MAD) and determine how adding 25 additional drawings will affect the MAD for either student (Amy or Emily).
The MAD is calculated by finding the mean (average) of the absolute differences between each data point and the mean of the dataset. When a new data point is added, the mean and the absolute deviations change, so it is essential to analyze how this will influence the overall MAD.
Once I have the data, I’ll explain in detail why the MAD is expected to increase in both cases (whether it is Amy or Emily who submits the additional drawings).