  In many statistical studies, the measure of uncertainties like entropy,
extropy, varentropy and varextropy of a distribution function is of prime
interest. This paper proposes estimators of extropy and varextropy. Proposed
estimators are consistent. Based on extropy estimator, a test of symmetry is
given. The proposed test has the advantage that we do not need to estimate the
centre of symmetry. The critical value and power of the proposed test
statistics have been obtained. The test procedure has been implemented on six
real-life data sets to verify its performance in identifying the symmetric
nature.
