An archery range calculated the average speed of wooden arrows shot during a competition. Which is the best representation of the average speed?

1 answer

To determine the best representation of the average speed of wooden arrows shot during a competition, you would typically look at the statistical measure commonly used to summarize a set of data. The average speed can be represented using the arithmetic mean, which is calculated by summing all the individual speeds of the arrows and then dividing by the total number of arrows.

However, if the data includes outliers (e.g., significantly faster or slower arrows that could skew the average), it might be more appropriate to use the median speed, which represents the middle value when all speeds are sorted in order. This provides a better sense of the central tendency of the data in cases with large variations.

In general, the best representation would be:

  • Arithmetic mean if the data is normally distributed without outliers.
  • Median if there are outliers or the data is skewed.

Ultimately, the context of the competition and the distribution of speeds should guide the choice of representation. If no additional information is provided, the arithmetic mean is typically the most commonly used measure for average speed.