ENH: removed median percentile to be always included in describe GH #60550 
- [x] closes #60550 
- [x] [Tests added and passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#writing-tests) if fixing a bug or adding a new feature - yes, `pandas/tests/reductions/test_describe_ndframe.py`
- [x] All [code checks passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#pre-commit).
- [x] ~Added [type annotations](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#type-hints) to new arguments/methods/functions.~ NA
- [x] Added an entry in the latest `doc/source/whatsnew/v3.0.0.rst` file if fixing a bug or adding a new feature.

@mroeschke I don't think a separate test is needed as the core functionality remains the same. > @mroeschke I don't think a separate test is needed as the core functionality remains the same.

We should have had a test that when you specify `[0.3, 0.6]` you get `0.3`, `0.5`, and `0.6`. This was missing in our test coverage. If it was there, then you would have had to modify such a test to just `0.3` and `0.6`. 

Since we're changing the behavior, I think a test needs to be added. @mroeschke @rhshadrach thanks for the feedback, the tests are now added. @mroeschke, I hope you were able to look into this and merge the PR? @mroeschke please do the needful. This pull request is stale because it has been open for thirty days with no activity. Please [update](https://pandas.pydata.org/pandas-docs/stable/development/contributing.html#updating-your-pull-request) and respond to this comment if you're still interested in working on this. Closing as stale. If you're interesting in continuing, merge main and fix up the failing tests on the CI and we'd be more than happy to reopen!