Consider the following data: -10, 2, 4, 15, 13, -6. Determine the median of the given data.

Answer

To find the median of a data set, follow these steps: 1. Arrange the data in ascending order (from smallest to largest). The given data set is {-10, 2, 4, 15, 13, -6}. Arranged in order, it becomes {-10, -6, 2, 4, 13, 15}. 2. Identify the number of data points (n). In this set, there are n = 6 data points. 3. Since the number of data points is even, the median is the average (mean) of the two middle values. The two middle values are the 3rd and 4th terms in the ordered list, which are 2 and 4. 4. Calculate the average of these two middle values: (2 + 4) / 2 = 6 / 2 = 3. Therefore, the median of the given data is 3.