Final answer:
Central tendency measures such as mean and median provide different information about a data set.
Step-by-step explanation:
The statement that central tendency measures such as mean and median essentially provide the same information is not accurate. While both mean and median are measures of central tendency, they provide different information about the data set. The mean is the arithmetic average of all the data points and is influenced by outliers, while the median is the middle value of the data set and is not affected by outliers.
For example, consider the following data set: [1, 2, 3, 4, 100]. The mean of this data set is 22, which is greatly affected by the outlier 100. However, the median is 3, which accurately represents the center of the data set.
Therefore, it is important to consider both the mean and the median when analyzing data, as they provide different perspectives on the central tendency of the data set.