Final answer:
The mean, median, and mode are all measures used to determine the center of a distribution, with the mean being the average, the median as the middle value, and the mode as the most frequent value.
Step-by-step explanation:
The measures used to determine the center of a distribution include the mean, median, and mode. The mean is the average value calculated by adding all data points and then dividing by the number of points. The median is the middle value when data points are ordered from smallest to largest and is particularly useful for skewed data sets or when there are outliers because it is less affected by extreme values. The mode is the most frequently occurring value in the data set. Of the options provided, mean, median, and mode are all used to measure the center of a distribution, while the range measures the spread of data. In the context of a symmetrical distribution, the mean, median, and mode would coincide at the center. For skewed distributions, the median tends to be closer to the mode while the mean would be pulled towards the tail of the distribution, reflecting the skew.