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What is the median of a set of numbers?

  1. The average of all the numbers

  2. The difference between the highest and lowest numbers

  3. The middle number in a set of numbers in order

  4. The mode of the set

The correct answer is: The middle number in a set of numbers in order

The median of a set of numbers is defined as the middle number when the numbers are arranged in ascending or descending order. When you have a set of numbers, you first organize them from the smallest to the largest. If there is an odd number of observations, the median is the value at the center of the list. If there is an even number of observations, the median is calculated by taking the average of the two middle numbers. This concept is important as it provides a measure of central tendency that is less affected by outliers than the mean (the average), which can skew results if there are extreme values in the data set. The other options describe different statistical concepts: the average (mean) considers all numbers, the difference between the highest and lowest refers to the range, and the mode represents the number that appears most frequently in the set. Each of these concepts serves a different purpose in data analysis, but they do not define the median.