MAD (DOC)

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					Algebra ACE


Summation Notation &                                   Name: ___________________
Mean Absolute Deviation – MAD

   I.          Summation Notation
        A mathematical representation for ______________ elements of a __________
         _________.

        Summation Notation is also called ______________ ___________, the after
         the capital Greek letter.

It looks like this:      
                                                                              n

To represent the process of adding a set of data elements we write:        x
                                                                            i 1
                                                                                   i

where
         xi              represents a _________ ____________

         “index”         i represents its ____________ in that set of data.

         “n”             represents the __________ __________ of elements in the data.



The Jones family has 6 members (including Fluffy and Spot), so n = 6. Their heights the
elements of our data set.
Member       Height             Data set is {65, 72, 70, 58, 22, 28}

Mom                65”                So, x1 = 64
Dad                72”                    x2 = 72
Bobby              70”                    x3 = 70
Joey               58”                    x4 = 58
Fluffy             22”                    x5 = 22
Spot               28”                    x6 = 28


________ or “mu” is our new symbol for mean (average). It is also a Greek letter.
                                                           Write the formula here:
Now our formula for finding the mean looks like this:



Find  for the Jones family heights.

          = _____________ inches.
Algebra ACE


   II.    Mean Absolute Deviation (MAD)

Mean Absolute Deviation is a way to determine the _____________ or

________________ of a set of data.



When we calculate the MAD, we can use it to give is a general idea of what is considered
“normal” for that particular set of data.

MAD is often preferred by statisticians over its cousin ____________

________________ because it is less affected by ________________.

The formula for Mean Absolute Deviation:


      MAD =


     Step 1: Find the ______________.
     Step 2: ________________ the mean from each element in the data set.
     Step 3: Write down the ________________ ___________ for each of those differences.
     Step 4: ____________ those numbers.
     Step 5: ____________________ that sum by n (the number of elements in the data set)


Complete each step for our set of data. Jones family heights = {65, 72, 70, 58, 22, 28}

Step 1:

Step 2:

Step 3:

Step 4:

Step 5: MAD =

What does the MAD tell us about the heights of the Jones family?

__________________________________________________________________

__________________________________________________________________

				
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