View Single Post
Old 19 Apr 2003, 19:44 (Ref:574283)   #8
Maxmil
Veteran
 
Join Date: Apr 2001
United States
New England, USA
Posts: 778
Maxmil should be qualifying in the top 10 on the grid
Quote:
Originally posted by Schummy
I meant "median": the middle grid position discarding the best one and the worst one. It is useful to not be too much influenced by "fluke" circunstances. Anyway, it will be more useful when we get more GPs.
Not to start a statistical argument - which I would surely lose - but do the "medians" really mean anything for such small samples? Here is the brief description of "median" from a Middle School mathematics website:

"By definition, a median is a statistical term identifying a piece of data (number) that divides numerically ordered data into two equal halves. In easier terms, the median is the middle piece of data when those data are placed in numerical order. Let's look at two examples. One example has an odd number of pieces of
data, and another has an even number of pieces.

45
46
46
47------> Median because there are 3 pieces above and 3 pieces below
50
57
60


45
46
46
47
50
--------> 53 is the median ***Explanation below***
56
60
61
62
62

The reason 53 is the median is because the median falls halfway
between the numbers 50 and 56."

Note there is no mention of discarding the high and low values, and this was not done when I took my stats courses several eons ago. The other problem, which you note, is that a sample of three races is too small to produce meaningful results. As seen below;

1 2 20 The Median is 2

1 2 3 The Median is 2

Which driver do you sign for the season?

More extreme cases:

For a sample size of 9,

2 3 4 6 8 20 20 20 20 The Median is 8

1 1 1 1 8 9 9 9 9 Yup, still 8

End of lecture.





Maxmil is offline  
Quote