Which stats tell the real story about a baseball player? As you'll see, each stat has strengths and weaknesses.
Let's look at the following proportional relationship in baseball:H = AB × B
H = Number of Hits
AB = Number of times At Bat
B = Batting AverageWhen we look at two players, is it possible for one player to have a higher batting average but fewer hits? Yes.
Here is an example. Let's compare stats from two 2013 New York Yankees teammates: Alex Rodriguez and Vernon Wells.
1) Calculate Alex Rodriguez's number of hits H, given his stats this season of AB = 70 and B = 0.271. Round it to the nearest whole number.
Alex Rodriguez's number of hits =
2) Calculate Vernon Wells' number of hits H, given his stats this season of AB = 370 and B = 0.243. Round it the nearest whole number.
Vernon Wells' number of hits =
3) As you can see, even though Alex Rodriguez has a higher batting average, because he has been at bat so few times this season, he has a much smaller number of hits compared to Vernon Wells.
Baseball Stats Lesson: when looking at batting average, pay attention to the number of times at bat as well. I can have a 1.0 batting average if I am at bat once and score a hit, but that doesn't make me an MLB player.
Aligned with Common Core:
7.RP.2 - Proportional relationships
7.EE.3 - Solving algebraic equations in real life settings