Here are a few references that I found useful on this topic.
Trust in Numbers by Theodore M. Porter
Hacking, I. (2016). Logic of statistical inference. [Cambridge Philosophy Classics]
“One of Ian Hacking’s earliest publications, this book showcases his early ideas on the central concepts and questions surrounding statistical reasoning. He explores the basic principles of statistical reasoning and tests them, both at a philosophical level and in terms of their practical consequences for statisticians. Presented in a fresh twenty-first-century series livery, and including a specially commissioned preface written by Jan-Willem Romijn, illuminating its enduring importance and relevance to philosophical enquiry, Hacking’s influential and original work has been revived for a new generation of readers.”
- [potentially useful] Daston, L., & Galison, P. (2018). Objectivity.
“As Lorraine Daston and Peter Galison point out in their capacious and engaging study of the concept of scientific objectivity from the 17th century to the present day, the universal form is key to understanding how modern science moved from the study of curiosities, through the representations of perfect, notional specimens, to a concept of objectivity as responsibility for science.”