Ohtani’s Batting Average Sep 2024

Posted on Friday, September 20, 2024
Yesterday, Shohei Ohtani had a game for the ages.
The baseball particulars speak for themselves. Let’s look at the one-day change in his batting average.

We know his preceding average:

170 hits in 593 at bats, therefore \framebox{P} \approx 0.287

We know he went 6 for 6 during the game \framebox{G} = 1.000

What is his succeeding batting average, \framebox{S} ?

Legend

\fbox{P} = \text{preceding average (before the game)}

\fbox{G} = \text{game average}
\fbox{S} = \text{succeeding average (after the game)}
Refer to my blog post On Average Jun 2022, Example 7.

In one line, we can easily calculate: \framebox{S} = \fbox{P} + \displaystyle\frac{{\Large6}\cdot(\fbox{G}-\fbox{P})}{({\Large593}+{\Large6})}

See my hand calculations below for a step by step approach.

How much did his average jump?

Again, in one line: \framebox{JUMP} = \displaystyle\frac{{\Large6}\cdot(\fbox{G}-\fbox{P})}{({\Large593}+{\Large6})} = 0.007145 \approx\textbf{ 7 points}

An advanced student familiar with this method wouldn’t do all the calculations in precise steps.

Rather, the student would recognize:

  • at-bats are approximately 600
  • 6 for 6 is batting 1000
  • (1000-\fbox{P}) = (1000- 287) \approx \textbf{700}
  • \displaystyle \frac{\Large6}{\Large600} = \textbf{1 \%}

Therefore, the jump would be 700 \cdot \text{1 \%} = \textbf{ 7 points}

Today is September 28, 2024

In the last 9 days, Ohtani has had 24 hits in 34 at bats — a 0.706 average!

He has raised his batting average to 0.309 — an increase of 22 points !!

He now has 54 homers and 57 stolen bases, with 2 games left in the regular season.



Enjoy!

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