Range & Mean Absolute Deviation (MAD)


1.      According to T-100 Domestic Market, the top seven airlines in the United States by domestic boarding in a recent year were Southwest Airlines with 81.1 million, Delta Airlines with 79.4 million, American Airlines with 72.6 million, United Airlines with 56.3 million, Northwest Airlines with 43.3 million, US Airways with 37.8 million, and Continental Airlines with 31.5 million. Construct a pie chart to depict this information.





















2.      A data set contains the following seven values.

    6           2          4          9          1          3           5

a.       Find the range

                                                  i.      Range = Highest – Lowest = 9 – 1 = 8

b.      Find the mean absolute deviation

                                                  i.      MAD = ∑ | x – µ | / N

x

 

(x- µ)

 

abs(x- µ)

6

 

1.71

 

1.71

2

 

-2.29

 

2.29

4

 

-0.29

 

0.29

9

 

4.71

 

4.71

1

 

-3.29

 

3.29

3

 

-1.29

 

1.29

5

 

0.71

 

0.71

30

 

 

 

 

mu=4.29

 

 

MAD

2.040816