Final answer:
The standard deviation provides the most information about how to spread out a distribution of scores.
Step-by-step explanation:
The statistic that provides the most information about how to spread out a distribution of scores is the standard deviation.
The standard deviation measures how far data values are from their mean. A larger standard deviation indicates a more spread out distribution, while a smaller standard deviation indicates a more concentrated distribution.
For example, if we have two sets of scores with the same mean, but one set has a larger standard deviation, it means that the scores in that set are more spread out from the mean compared to the other set.