warm up find the mean of the following: 12, 3, 5, 9, 21 5, 7 271, 35, 106, 243 20, 30, 10, 50 1, 2,...
TRANSCRIPT
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Warm Up
Find the mean of the following:12, 3, 5, 9, 215, 7271, 35, 106, 24320, 30, 10, 501, 2, 3
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Agenda
Warm Up (10) Notes (20) EQ Task “Sad to Mad” (30) Practice Problems (20) Ticket out the Door Homework
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Notes
Standard: MA1D4. Students will explore variability of data by determining the mean absolute deviation (the averages of the absolute values of the deviations).
Key VocabularyMean-averageMode-number that occurs the mostMedian-the middle numberSummationMEAN ABSOLUTE DEVIATION (MAD)
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Summation
Summation – add the series or sequence of numbers.
Symbol:
Example:
nn1
4
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Mean Absolute Deviation (MAD)
The (MAD) is used as a way to determine the variability of data.Variability means the variance (spread) in
different things such as test scores, results, or other data.
The formula to find the mean absolute Deviation:
| x ii1
N
x_
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N
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Essential Question (EQ)
How can I quantify the variability of a distribution?
| x ii1
N
x_
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N
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Task
“Sad to Mad”
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Practice--Find the MAD
Find the MAD of 1, 1, 4, 7, 12 Step 1: Find the mean ( )
(1+1+4+7+12)÷5= 5 Step 2: Sum the absolute deviations
from the mean ( )|1-5|+|1-5|+|4-5|+|7-5|+|12-5|
=4+4+1+2+7=18 Step 3: Divide by the number of data
points ( )18/5=3.6
| x ii1
N
x_
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N
x
| x ii1
N
x_
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Ticket out the Door
Describe how you would find the MAD of a set of numbers.