## Reflection: Real World Applications Mean absolute deviation. What does it mean? - Section 2: What does MAD mean?

The students did a good job understanding how to find the mean.  They understood the calculations needed, but I wasn't confident that they understood what that numerical value meant.  So, I approached it this way.  I asked them if they knew what the temperatures were like in Hawaii.  Most of them could tell me that it the temperature was warm.  I explained to them that they temperatures in Hawaii were 80 degrees every day.  I said that if we collected 5 days of data on the temperatures in Hawaii and found that every day was 80, what would that say about our mean?  They said that the mean temperature would be 80.  I explained that there was little variability in the data because it was so consistent.  I asked them to think of a numerical value that would support this finding of no variability.  They said zero.  I explained that this value of zero was the mean absolute deviation. It showed no variability and that the data collected was very consistent.  Then I asked them about Chicago.  What do you think the average temperature is in Chicago?  They said the temperatures vary so much that they didn't know.  So I explained that when we find the MAD for Chicago, it would farther from the mean, meaning that it would have a larger numerical value. This helped them understand that one numerical value can tell you whether or not the data is consistent or inconsistent.

Making connections....
Real World Applications: Making connections....

# Mean absolute deviation. What does it mean?

Unit 9: Statistics
Lesson 12 of 23

## Big Idea: The students will be working with mean and learning about variablility. They will be making connections to real life applications to help assist them in making a connection to mean absolute deviation.

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