This post displays the potential importance of outliers.
Question Two: How does the average of yards per carry for
the firstchoice running back differ from the average yards per carry for the
secondchoice running back? How do the
median, standard deviation, and skew of yards per carry for the first and
second choice running backs differ?
Data: The data used for this post can be found at
I originally collected the data at an NFL Web site.
Answer:
Information on career yards per carry for firstchoice and
secondchoice running backs is displayed in the table below.
FirstChoice Running Back

SecondChoice Running
Back


Average of years per
carry

3.91

3.99

Median of yards per carry

4.10

4.00

Standard deviation of
yards
per carry

0.80

0.25

Skew of yards per carry

3.77

0.12

The average of yards per carry over the 33 draft years is
slightly higher for secondchoice running backs than for firstchoice running
backs.
The median of yards per carry is slightly larger for
firstchoice quarterbacks than for second choice quarterbacks.
The standard deviation of yards per carry is over 3 times
larger for firstchoice running backs than for secondchoice running backs.
The skew of firstchoice running backs is highly negative
indicating the existence of some very small observations. The skew of the secondchoice running back
sample is 0.12 indicating the data is basically symmetrically distributed
around the mean.
Discussion:
How can we explain these relatively strange results? Larry
Stegent the firstchoice running back in 1970 blew out his knee in his first
preseason game. He was included in our
sample despite having zero yards. He is
an outlier. Perhaps I should have
excluded him from the sample.
http://en.wikipedia.org/wiki/Larry_Stegent
Interested readers might want to compare the yards per carry statistics presented here to total career yards statistics discussed in a previous post.
http://dailymathproblem.blogspot.com/2014/06/runningbackcareeryardagestatistics.html
#NFL Draft
#NFL
#outliers
Interested readers might want to compare the yards per carry statistics presented here to total career yards statistics discussed in a previous post.
http://dailymathproblem.blogspot.com/2014/06/runningbackcareeryardagestatistics.html
#NFL Draft
#NFL
#outliers
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