Which statistical measure provides a summary of the center of a data set?

The statistical measures that summarize the center of a data set include the mode, median, and mean, making the choice of all of the above the most comprehensive answer.

The mode refers to the value that appears most frequently in a data set, which identifies a central point based on frequency. The median is the middle value when the data is ordered, representing the point at which half of the observations fall below and half fall above. The mean, or average, is calculated by summing all values and dividing by the number of observations, providing a center point that takes all values into account.

Each of these measures offers a different perspective on the center of the data, which can be particularly useful in various contexts. For example, the mean can be influenced by extreme values, while the median provides a more robust measure when there are outliers. Thus, by recognizing that all three measures provide valuable insights into the center of a data set, the correct choice is indeed all of the above.