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04­15­15 and 04­17­15 Mean Absolute Deviation (Per. 3).notebook
April 17, 2015
4-17-15
Aim: SWBAT calculate and interpret the Mean Absolute
Deviation (MAD) of a set a data.
Do Now: Check hw
HW: WS (Per. 1, 5, 7, 8)
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04­15­15 and 04­17­15 Mean Absolute Deviation (Per. 3).notebook
April 17, 2015
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04­15­15 and 04­17­15 Mean Absolute Deviation (Per. 3).notebook
April 17, 2015
This display shows how many students in the class received certain test scores.
= student
70
72
74
76
78
80
82
84
86
88
90
92
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96
98
100
Test Score
3
Test Score (%)
04­15­15 and 04­17­15 Mean Absolute Deviation (Per. 3).notebook
April 17, 2015
This display shows the score each student actually received.
100
96
92
88
84
80
76
72
68
64
60
56
52
48
44
40
36
32
28
24
20
16
12
8
4
0
1
2
3
4
5
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Student
The difference between each students' actual score and the mean(the red line) is another measure of
variation or spread that we can investigate to tell us something about the data.
The Mean Absolute Deviation (MAD) is a measure of variation. Instead of measuring the full spread of the
data like a range, it measures the spread between a single piece of data and the mean amount of variation.
If the MAD is a small number, in context of the data, there is low variation amongst all the data.
That shows more consistency amongst the data.
If the MAD is a large number, in context of the data, there is a high variation amongst all the data.
That shows more inconsistencies amongst the data.
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04­15­15 and 04­17­15 Mean Absolute Deviation (Per. 3).notebook
This display shows the mean score after data was redistributed.
100
96
92
88
84
80
76
Test Score (%)
April 17, 2015
72
68
64
60
56
52
48
44
40
36
32
28
24
20
16
12
8
4
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
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19 20 21 22
Student
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04­15­15 and 04­17­15 Mean Absolute Deviation (Per. 3).notebook
April 17, 2015
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04­15­15 and 04­17­15 Mean Absolute Deviation (Per. 3).notebook
April 17, 2015
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04­15­15 and 04­17­15 Mean Absolute Deviation (Per. 3).notebook
April 17, 2015
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04­15­15 and 04­17­15 Mean Absolute Deviation (Per. 3).notebook
1.
April 17, 2015
What does the MAD mean within this context?
_______________________________________________________________________
_______________________________________________________________________
2. Given the context, does the MAD value indicate a high or low variability?
_______________________________________________________________________
_______________________________________________________________________
3. Within this context, how are the mean and the MAD different? How are they related?
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
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04­15­15 and 04­17­15 Mean Absolute Deviation (Per. 3).notebook
April 17, 2015
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04­15­15 and 04­17­15 Mean Absolute Deviation (Per. 3).notebook
April 17, 2015
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