4-17-15 hw: ws (per. 1, 5, 7, 8) · 4/4/2015 · do now: check hw hw: ws (per. 1, 5, 7, 8) 041515...
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041515 and 041715 Mean Absolute Deviation (Per. 3).notebook
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April 17, 2015
4-17-15Aim: 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)
041515 and 041715 Mean Absolute Deviation (Per. 3).notebook
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041515 and 041715 Mean Absolute Deviation (Per. 3).notebook
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70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100
Test Score
= student
This display shows how many students in the class received certain test scores.
041515 and 041715 Mean Absolute Deviation (Per. 3).notebook
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
This display shows the score each student actually received.
04812162024283236404448525660646872768084889296
100
Student
Test
Sco
re (%
)
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.
041515 and 041715 Mean Absolute Deviation (Per. 3).notebook
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22
This display shows the mean score after data was redistributed.
04812162024283236404448525660646872768084889296
100
Test
Sco
re (%
)
Student
041515 and 041715 Mean Absolute Deviation (Per. 3).notebook
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041515 and 041715 Mean Absolute Deviation (Per. 3).notebook
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041515 and 041715 Mean Absolute Deviation (Per. 3).notebook
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041515 and 041715 Mean Absolute Deviation (Per. 3).notebook
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1. What does the MAD mean within this context?
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2. Given the context, does the MAD value indicate a high or low variability?
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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
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041515 and 041715 Mean Absolute Deviation (Per. 3).notebook
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