new DS lesson proposal: Mean Absolute Deviation

[retabak]

Here's the Common Core standard:

6.SP.B.5.c Summarize numerical data sets in relation to their context, such as by: giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.

Illustrative math has a whole lesson dedicated to this. Here are their objectives:

• Calculate the mean absolute deviation (MAD) for a data set and interpret what it tells us about the situation.
• Compare and contrast (in writing) distributions that have the same mean, but different amounts of variability.
• Comprehend that “mean absolute deviation (MAD)” is a measure of variability, i.e., a single number summarizing how spread out the data set is.