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# Math word problem with batting average?

Joe and marc play baseball for the same two years (and only those 2 years). The first year Joe has a higher batting average. The second year Joe has a higher batting average again. Who has a higher batting average overall?

No matter what you do Joe should have the higher average but my teacher gave it as an extra credit problem and says there is a lot of math involved to get the answer. Is there something i'm missing?

### 1 Answer

- fcas80Lv 78 years agoFavorite Answer
This is one of these problems where the relative weights have changed and the years don't get weighted identically between the two players. Here is one way Marc has a higher two year average.

Player _ Hits _ At Bats _ Average

Joe, Year 1 _ 1 _ 10 _ 0.100

Marc, Year 1 _ 40 _ 403 _ 0.099

Joe, Year 2 _ 2 _ 6 _ 0.333

Marc, Year 2 _ 199 _ 600 _ 0.332

Joe, Total _ 3 _ 16 _ 0.188

Marc, Total _ 239 _ 1003 _ 0.238