Big 5 personality traits means and SD
Means and SDs are going to vary based on the specific personality measure, the measurement context, and the sample.
Many of the thousands of journal articles that measure Big 5 personality will report descriptive statistics for their measure.
In terms of some available raw data for the Big Five.
Here is some based on IPIP data:
https://openpsychometrics.org/_rawdata/
Here are a bunch of repositories with Big 5 data:
https://osf.io/4mruh/
https://osf.io/4mruh/
https://osf.io/62gs7/
https://osf.io/cwbgv/
https://osf.io/daext/
https://osf.io/qjd48/files
https://osf.io/qk4r9/
https://osf.io/qk4r9/