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