A Monte Carlo technique was used to study the arrow mass and stiffness tolerances necessary to minimise the degradation of an archer`s likely score at normal competition distances. The archer`s arrow groups on the target were modelled using a half-normal distribution, where the standard deviation of the arrow`s distance from the centre depends upon the archer`s skill level and target distance. Equipment tolerances were modelled by varying the arrow positions on the target in either or both the vertical and lateral axes. This study showed that score loss due to arrow tolerance can be reduced well below score losses resulting from other sources by matching arrow mass to ±0.5 grains and arrow stiffness to ±1%.
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