calculate average percentage of measurements over time

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Let us say I have weekly measurements over time and I have a target measure for each week. Is it too naive to calcuate the relative difference:

(measurement - target)/ target

per week and then take the arithmetic mean, especially when the magnitudes of measurements and targets vary over time? Maybe one should z-score first and then take the average (arithmetic mean)?

The overall intention is to gauge the average difference between target and measurement over time.