Final answer:
The mean does take into account outliers in a data set.
Step-by-step explanation:
The statement 'The mean is useful because it doesn't account for outliers in a data set' is false. The mean, also known as the average, does take into account outliers in a data set. However, outliers can have a significant impact on the mean, causing it to be skewed. For example, if a data set contains the values 1, 2, 3, 4, and 100, the mean will be greatly influenced by the outlier 100, resulting in an average that does not accurately represent the central tendency of the data.
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