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What is the difference between the mean and the median of a set of numbers?

  1. The mean is larger

  2. The median is larger

  3. There is no difference

  4. It depends on the numbers

The correct answer is: The median is larger

The median represents the middle value in a set of numbers while the mean is calculated by finding the sum of all the numbers and dividing it by the total number of values. The median is less affected by extreme values in a set of data, making it a more reliable measure of central tendency. Additionally, there can be cases where the mean is larger than the median, but this is not always the case. Therefore, option B is the correct answer. Options A and C are incorrect as the size or presence of a difference between the mean and median cannot be determined without knowing the actual values in the data set. Option D is also incorrect as the difference between the mean and median is not dependent on the numbers in the data set, but rather on their distribution.