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We show that violation of variance based local sum uncertainty relation(LSUR) for angular momentum operators of a bipartite system, proposed byHofmann and Takeuchi~[Phys.Rev.A {\bf 68}, 032103 (2003)], reflectsentanglement in the equal bipartitions of an $N$-qubit symmetric state witheven qubits. We establish the one-to-one connection with the violation of LSURwith negativity of covariance matrix [Phys. Lett. A, {\bf 364}, 203 (2007)] ofthe two-qubit reduced system of a permutation symmetric $N$-qubit state.

Local sum uncertainty relations for angular momentum operators of bipartite permutation symmetric systems