In The Mandalorian, when the title hero and IG-11 realize the target they’re looking for is actually Baby Yoda, the bounty hunter says, “Wait. They said 50 years old.” IG-11 then tells him, “Species age differently. Perhaps it could live many centuries.” So if baby Yoda is 50 years old, that would place him being born around the same time as Anakin Skywalker. After all, The Mandalorian takes place five years after Return of the Jedi, the film in which Yoda dies.
We know that Yoda was approximately 900 years old at the time of his death. Around the age of 100, Yoda had already become a Jedi Master and had begun training apprentices. When he died, it was thought Yoda had taught over 20,000 Jedi, including Count Dooku and, of course, Luke Skywalker. And in the non-canon Expanded Universe, Yaddle was 483 years old at the time of her death on the planet Mawan. She’d served over 100 years on the Jedi High Council and had trained many apprentices in that time. Unlike Yoda’s natural death, Yaddle was killed while on a mission to Mawan with Yoda, Obi-Wan, and Anakin. She sacrificed herself by using the Force to absorb a bio-weapon set off on the planet, so we don’t know how long she might’ve lived. Also, there still is a bit of mystery when it comes to just how long the species lives because both Yaddle and Yoda were Jedi, and it’s thought they could live longer than an average member of the species.