  For an arbitrary Radon measure $\mu$ we estimate the integrated discrete
curvature of $\mu$ in terms of its centred variant of Jones' beta numbers. We
farther relate integrals of centred and non-centred beta numbers. As a
corollary, employing the recent result of Tolsa [Calc. Var. PDE, 2015], we
obtain a partial converse of the theorem of Meurer [arXiv:1510.04523].
