Question:
The table below has Miguel Cabrera’s hitting statistics for 2012. Find the definition of slugging percentage on
the web and calculate Miguel Cabrera’s 2012 regular season slugging percentage.
Assume that
a walk has the same value as a single. Create
a modified slugging percentage that incorporates information about walks. Calculate this slugging percentage for Miguel
Cabrera.
Why might a
walk have a lower value than a single? Assume that a walk is worth 50% of a single.
Calculate a modified slugging percentage for Miguel Cabrera based on this
assumption.
Miguel Cabrera Hitting
Statistics 2012


Games played

161

At Bats

622

Runs

109

Hits

205

Doubles

40

Triples

0

Homers

44

RBIs

139

Walks

66

Strike Outs

98

Stolen Bases

4

Caught Stealing

1

Hit by Pitch

4

Sacrifice fly

?

On Base Percentage

?

Slugging Percentage

?

Answer:
The formula for the slugging
percentage is total bases divided by at bats
SLG=TB/AB=(1XB+2X2B+3X3B+4X4B)/AB
Where B is
the number of bases obtained on a hit. ( B=1 for a single, 2 for a double, 3
for a triple and 4 for a home run.)
Plugging in
Miguel Cabrera’s 2012 numbers we get:
SLG=(1X121+2X40+3x0+4X44)/622
SLG=0.606
A modified
slugging percentage that incorporates information on walks would add the number
of walks in the numerator and the number of walks in the denominator.
SLGM=(TB+W)/(AB+W)
SLGM=(377+66)/(622+66)
SLGM=0.644
A walk is
probably worth less than a single because many walks are intentional. When an intentional walk is granted with two
outs and players in scoring position a pitcher can get out of a jam if he or
she gets the next (presumably weaker hitter) out.
One way to
modify the slugging percentage is to assume a walk is worth 50% of a
single. A formula consistent with this
assumption is
SLGM2=(TB+0.5XW)/(AB+0.5XW).
Plugging in
the numbers I get
SLGM2=0.626
A second
pair of eyes is always useful. Please
check my work.
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