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How Do Hitters Fare Against Really Fast Fastballs?

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I had to go back and watch Aroldis Chapman last night, because all reports said he was amazing, and sure enough, he was amazing. He also made me curious, though, so here are the results of all pitches that PITCHfx has measured at 100mph or above dating back to 2008:

(n = 554)

Strike: 67.7%
Contact: 76.0%
Foul/swing: 46.4%
Batting average: .242 (23/95)
Home runs: 0
Singles: 21

Meanwhile, for the sake of comparison, here are the results of all pitches that PITCHfx has measured between 90-92mph:

Strike: 63.3%
Contact: 84.9%
Foul/swing: 40.1%
Batting average: .330 (940/2853)
Home runs: 118
Singles: 593

Throwing hard helps.