A method of measuring an analyte concentration in body fluid. The method includes the use of an analyte measuring device that has an analyte sensing element with a sharpened distal end and further has an indicating electrode covered by an absorbent layer. Also, an electric power, data processing and display device is adapted to mate to and activate the analyte sensing element by applying electric power to it and adapted to receive the raw analyte measurement and to compute and display a refined analyte measurement from the raw analyte measurement. The analyte sensing element is introduced into the animal body, thereby placing the absorbent layer into contact with the body fluid. The absorbent layer becomes saturated with body fluid and the analyte sensing element is removed from the body and is activated to form a raw analyte measurement. Which is used to form and display a refined analyte measurement.