This paper explores some extropy properties of the lifetime of coherent systems under the assumption that the lifetime distribution of system components is independent and identically distributed. The presented results are obtained using the concept
of system signature. To this end, we first provide an expression for the extropy of the lifetime of coherent systems. Then,
stochastic extropy comparisons are discussed for coherent systems under the condition that both systems have the same
characteristic structure. In cases where the number of system components is large or the system has a complex structure,
obtaining the exact extropy value of the system lifetime is difficult or time-consuming. Therefore, bounds are also obtained
for extropy. Additionally, a new criterion for selecting a preferred system based on relative extropy is proposed, which considers the lifetime of the desired system closest to the parallel system