Without a doubt, batting average is important.  It shows a hitters ability to reach base on a swing, a vital part of baseball.  However, let's compare the two statistics in a more logical manner.  Every inning, there are three outs that the defense must make in order to end the inning.  On base percentage shows the odds that a hitter does not make one of these three outs.  It is calculated by counting walks as well as hits, so prolific walkers will often display a high differential between batting average and on base percentage. 

Brian Dozier is another low average players the batting average purists love to hate.  He hit .242, but the rest of his numbers were superior to most players at second.  We complained about his average but nobody took into account that he walked 89 times and scored 112 runs.  If you’re going to count all those extra runs he scored because of the walks you should count the walks as well, and that’s something batting average doesn’t do.  While looking for a comparable player to Dozier, one interesting names came up.  Look at these two batting lines.
Recent paleoanthropological studies suggest that our ancestors were walking erect four million years ago, long before we developed large brains. So it's just possible that our throwing abilities were already in use even at that early date, and that all possible trajectories for moving objects are already stored in our brains, waiting to be called up for use at any given moment.
So now going back to the original example of Mike Trout’s 2014 slash line (.287/.377/.561), you should be able to look at it and know not only what statistic each number represents, but what it means in regards to Trout’s value as a player. Before we move on to the next section, however, I also want to mention two stats that are commonly associated (and sometimes included) with the slash line, the first of which is OPS.
How do these players create such a powerful swing? Rule number one; do not confuse POWER with strength. These are two very different dynamics. Power is an explosive movement. It is created through a combination of speed, and strength. Strength is created through maximal force. This is the biggest learning lesson here; you do not create power for hitting by lifting maximum weight. Power lifting like bodybuilders and muscle heads do, does not translate into softball power hitting. Power lifting is mostly all for show and not athletic performance. If you have the biggest arms, traps, and chest in the world, how are you going to swing the bat? Power lifting and Power hitting are two totally different things.
Just before the pitcher pitches the baseball, you should be standing in a perfect stance so that you can hit the ball right. A good stance includes planting your feet firmly on the ground, slightly wider than your shoulders and your weight should be balanced on the balls of your feet. Such a stance will give you the rapid swinging freedom which you need when swinging the bat at the incoming ball.
That's a difference of about one error every two games. This seems insignificant, but we can use Tom Tango's run environment generation program to see what kind of effect those extra errors would have on offense. Plug in the 2013 MLB batting statistics (counting HBP as BB and ROE as hits) and the program estimates a run environment of 4.8 R/G*. But double the amount of errors, and that number jumps by half a run to 5.3 R/G.
The key to hitting a baseball with power is staying connected to the body's rotational energy. Body rotation is powered by the larger and more powerful muscles of the legs, hips and torso. For a batter to hit the ball with maximum power, his swing mechanics must stay connected and make efficient use of these larger muscle groups. This article discusses the important steps needed to produce a swing that transfers the body's rotational power into hitting power.
Adjusted OPS-plus (OPS+): You might be familiar with OPS, which is simply on-base percentage added to slugging percentage (forget, for the moment, that they have different denominators). OPS+ is simply OPS adjusted for park and league conditions. It's scaled to 100, which means that 100 indicates a league-average OPS adjusted for park and league. An OPS+ of 110, for instance, is an OPS that's 10 percent better than the league average. On the other end, an OPS+ of 85 is one that's 15 percent worse than the league average. It's useful in that you can make a thumbnail comparison between, say, a hitter in Coors Field in 2000 to one in Dodger Stadium in 1968. It helps correct for the two things that most often corrupt unadjusted stats -- home parks and eras -- and it leans on the the two most important things a hitter can do -- get on base and hit for power. - Dayn Perry
On-base percentage, or OBP, measures the frequency with which a batter reaches base. OBP is expressed as a decimal rounded to three places, as in .300. Thus, OBP looks like batting average. However, instead of expressing the number of hits per at-bat, OBP represents the number of times on base per opportunity. The formula is simple, and one needs just five basic counting statistics to calculate OBP. These five stats are hits, walks, hit-by-pitch, at-bats, and sacrifice flies. The formula is:
Here's a quick example: Ichiro Suzuki had a record 262 hits in 2004. He also walked 49 times and was hit by 4 pitches. The sum is 262 + 49 + 4 = 315. He had 704 at bats, 49 walks, 4 hit by pitches, and 3 sacrifice flies on the year. That sum is 704+49+4+3=760. Dividing 315 by 760 gives the on base percentage of .414. That's not too bad, but it's not much higher than his batting average, which was an impressive .372. By comparison, Jose Bautista had a respectable batting average of .286 in 2014, but still reached base at a very strong .403 clip, helped by 104 walks.
Players who hit 40 or more home runs produced 3.4 fWAR on average, the lowest rate since 2008 (1.8) and the third-lowest average on record since expansion, slightly behind the 1984 campaign (2.8 average fWAR from a batter with at least 40 home runs). Compare that with the average fWAR from batters with between 20 and 29 home runs (3.1 in 2016) and it is easy to see where the value lies.
First compare the names on the left to the ones on the right.  Notice anything?  With the exception of Buster Posey, did you draft any player from the left side before any player on the right?  OK there is Dexter Fowler, but there are always a few exceptions with any example.  The players on the right are the superior players, Matt Carpenter included.  While he didn’t live up to expectations, Carpenter did score 99 runs.  The only players to score more runs from either list all come from the right side, Bautista and Trout.  Denard Span was 10th in the league in scoring runs (like I said, an exception to every rule) but the next highest player from the left side is Howie Kendrick down at #30.  Everyone else on the left had 81 or fewer runs scored where everyone on the right scored more than 81 times except Hanley and Fowler (who both had under 450 at bats due to injuries).
Recent paleoanthropological studies suggest that our ancestors were walking erect four million years ago, long before we developed large brains. So it's just possible that our throwing abilities were already in use even at that early date, and that all possible trajectories for moving objects are already stored in our brains, waiting to be called up for use at any given moment.
Not only that, every baseball player in any situation would benefit from improving their hitting power. This has to be a focus of yours. Technique and power development can be trained simultaneously in the same training program and not overlap one another. So go to hitting practice, hit the gym, and be the guy the other team doesn’t want to see in the warm-up area.
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Watching a player in batting practice will tell you whether or not he can square up a baseball. If he is hitting one-hoppers through the infield that land in the dirt to line drives that are short-hopping the wall, he is squaring up the baseball. If he is consistently hitting balls that land within 45 feet of the plate or are high pop flies, his swing plane is not right and he will not be able to hit at a high level.