A commenter recently pointed out that the team of best players with a Valentine's Day birthday isn't very good.
I guess when we look up any particular day, we hope to find a few Hall of Fame players and a whole bunch of All-Star caliber players.
Here's a bit of a reality check, though.
The Hall of Fame has 295 members. That total includes 60 people who made it as a manager, pioneer, execute, or umpire, meaning there are only 235 Hall of Fame players. That works out to an average of just about 0.65 Hall of Famers per day, and since a few probably have the same birthday I'm guessing as many as 40% of the days of the year have no Hall of Famers born that day.
I made a rough approximation of the total number of All-Star appearances and it looks to be about 4,000. That's the total number of times any player made the All-Star team. It looks like there have been something like 1,300 different players elected to at least one All-Star game, meaning that the average number of All-Star game appearances per All-Star player is about 3.
With about 1,300 All-Star players, that's an average of about 3.5 such players per day.
What does this mean? A typical average birth day would have 0 or 1 Hall of Famers and 3 or 4 players with a total of about 10 All-Star appearances.
So, yeah, a date with no Hall of Famers and just 1 player with 1 All-Star appearance is definitely well below average.
What dates can you find that are above or below average?