We spent much of classtime today going over the Box & Whisker plot and its characteristics. We discussed where the box can appear with respect to the median. The box, which is defined by the lower and upper quartiles, can appear anywhere around the median, even with one end lined up with the median, for instance when the lower quartile and the median turn out to be the same number. But the box cannot occur completely below or completely above the median because the lower quartile must be less than or equal to the median and the upper quartile must be greater than or equal to the median.
We also talked about the significance of the range and IQR. While the mean, median, and mode show the central tendency of the data, the range and IQR show the spread of the data. We talk about the data being dispersed or spread out when the range or IQR are larger values. We consider the data to be condensed, dense, or consistent when the range or IQR are smaller values. For example, consider two students who both have 75 averages. One has grades spanning from 72 to 78, and the other has grades spanning from 60 to 90. While they have the same average, the differing ranges imply that the second student is capable of better grades but is not consistently working at their potential (high Bs). The first student is much more consistent with their grades and is probably a solid C student.
We started discussing the mean absolute deviation (MAD) today. We will continue to discuss it and work through calculations tomorrow.
Homework: Complete the bottom of the front page of the notes. The assignment listed at the top of the notes is due Monday, February 22nd.
Remember, project topics need to be approved by tomorrow.
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