T2
Calculate a numerical data set's Mean Absolute Deviation (MAD) SP.3, SP.5c
Lesson 1
1. I asked 8 students how many pets they have at home. This is the data: 4, 2, 3, 1, 3, 0, 4, 3 What is the mean?
2. Find the absolute value for the following:
a. |-38|
b. |16 - 7|
* Reminder: absolute value is the distance a number is from 0
The Mean Absolute Deviation is the average distance between each data value and the mean.
To find the MAD:
1. Find the mean of the data set.
2. Find the absolute value of the difference of the mean and each data point |data point - mean|
3. Find the mean of the absolute values you found in Step Two.
1. Check-your-understanding questions (CYUQs): Do your own, you choose where to start, check your work with the students around you. If you need help, get help. If someone needs help, give help.
2. Write down at least three things to remember about this topic in your math notebook (include examples)
3. Don't give up! If you get stuck, choose to persevere: review your thinking, try another approach, ask for help, search
Lesson 2
The data set represents the number of times six students checked their phone in an hour:
6, 5, 9, 2, 0, 8
The Mean Absolute Deviation (MAD) helps us to see how spread out the data is (relative to the mean).
Data that are similar to each other will have a smaller number (spread), whereas data that are more different from each other will have a larger number (spread).
Within statistics, there are two large categories:
Measures of Central Tendency
Measures of Variability
12, 14, 14, 16, 20, 22, 25, 29
15, 8, 20, 10, 18, 5, 12, 8
26, 18, 32, 22, 15, 28, 18, 37, 24, 20
Lesson 3
Lesson 4
Turn-taking ----------------------> Collaboration