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```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, 3
Agenda
Warm Up (10)
 Notes (20)
 EQ
 Practice Problems (20)
 Ticket out the Door
 Homework

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 Vocabulary






Mean-average
Mode-number that occurs the most
Median-the middle number
Summation

Summation

Summation – add the series or
sequence of numbers.
Symbol:

4
Example:
n
n1

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
N
Deviation:
_
| x
i
i1
N
x |
Essential Question (EQ)

How can I quantify the variability of a
distribution?
N
| x
_
i
i1
N
x |

Find the MAD of 1, 1, 4, 7, 12
 Step 1: Find the mean ( )
x
 (1+1+4+7+12)÷5= 5

Step 2: Sum the absolute deviations
from the mean (  | x  x | )
N
_
i
i1
 |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
( | x  x | )
N
_
i
 18/5=3.6
i1
N
Ticket out the Door

Describe how you would find the MAD of
a set of numbers.
```
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