Baseball is one activity that’s
consumed by averages. There are batting
averages, earned run averages, slugging percentages, on-base percentages, runs
with runners in scoring position (an average), stolen base percentages and many
more. Most professional baseball players
are average. Yet even a Major League
Baseball position player (not a pitcher or designated hitter), possessing just
a so-so batting average of .260, made more than $3,000,000 in salary in
2008. Most actors are average. Most actors don’t make nearly that much
money.
Think of the Bell
Curve where the large hump in the middle represents average. Most of any category that has variation is
average. Incomes, scores, performance,
prices, sizes and so on. Students of
math are wary of average, for they know that average is a tricky term. That’s because there are three types of averages: mean, median, and mode. When we talk about average, we usually intend
the mathematical mean average. Mean
average is the sum of all the parts divided by the number of parts. Like this:
1+2+2+3+4+7+9 = 28 divided by 7 = 4
Four is the mean average of these seven
numbers. However the median average
separates the lower half of all the numbers from the upper half. In this example that number is 3 because
three of the numbers, 1, 2 and 2, are lower than 3 and three numbers, 4, 7 and
9, are higher than 3. The mode is the
average that includes the number that appears most frequently. In the series above that number is 2.
When it comes to those characteristics
that cannot be measured, the concept of an average is simply speculation. However when characteristics or behaviors can
be measured or counted, then the three averages, mean, median and mode, have
meaning.
From Threes, Chapter 2, “Threes in Math”