Title: Median statistics estimates of Hubble and Newton's Constant,
Abstract: Robustness of any statistics depends upon the number of assumptions it makes
about the measured data. We point out the advantages of median statistics using
toy numerical experiments and demonstrate its robustness, when the number of
assumptions we can make about the data are limited. We then apply the median
statistics technique to obtain estimates of two constants of nature, Hubble
Constant ($H_0$) and Newton's Gravitational Constant($G$), both of which show
significant differences between different measurements. For $H_0$, we update
the analysis done by Chen and Ratra (2011) and Gott et al. (2001) using $576$
measurements. We find after grouping the different results according to their
primary type of measurement, the median estimates are given by
$H_0=72.5^{+2.5}_{-8}$ km/sec/Mpc with errors corresponding to 95% c.l.
(2$\sigma$) and $G=6.674702^{+0.0014}_{-0.0009} \times 10^{-11} \mathrm{N
m^{2}kg^{-2}}$ corresponding to 68% c.l. (1$\sigma$).