Abstract:
Geometric Measures of Variation about the mean is a measure that uses the geometric averaging
technique to average the deviations from the mean. From previous studies, it has been determined
that the measure is more precise in estimating the average variation about the mean than the
existing measures of variation about the mean. Given that the technique is a newly introduced
technique of estimating the average variation about the mean, the actual sample estimator for the
measure is still unknown, as a result, the study aimed at determining the unbiased estimator for the
population geometric measure. The study used a mathematical estimation technique to determine
the unbiased estimator among the existing possible estimators as it assumed a simple random
sampling without replacement technique. The study determined that the unbiased estimator of the
population estimator was the sample estimator which did not allow one degree of freedom.
Key Words: Estimator, Parameter, Unbiasedness, Sampling
