What experimental bounds do we have on big $G$?

I know that there has been a large amount of controversy surrounding the exact value of the gravitational constant $G$, but I know that there is not a substantial difference in the measured value. So I was wondering what experimental bounds we have on it so far?

• we don't have even good experimental bounds on torsion – lurscher Mar 6 '18 at 17:46
• What is torsion? In gravitational theory. – The victorious truther Mar 6 '18 at 18:45

According to NISTconstants, as of 2017, $$G = 6.674 08(31) \times 10^{-11} \space {\rm m}^3 {\rm kg}^{-1} {\rm s}^{-2}$$ which means the range is 6.67377 to 6.67439
• @allure that's not the meaning of a confidence interval. In 68% of the hypothetical repeat experiments, an interval produced in that manner would include the true $G$, were the model true – innisfree Mar 20 '18 at 12:43