Consider the following data.

12,−6,−7,−9,4,0

Determine the median of the given data.

To determine the median of the given data set, follow these steps:

1. **List the data in ascending order**:
   \[-9, -7, -6, 0, 4, 12\]

2. **Identify the number of data points**:
   There are 6 data points in the set.

3. **Locate the middle values**:
   Since there is an even number of data points, the median will be the average of the two middle values.
   - The middle values are \(-6\) and \(0\).

4. **Calculate the median**:
   \[
   \text{Median} = \frac{-6 + 0}{2} = \frac{-6}{2} = -3
   \]

Therefore, the median of the given data is \(-3\).

Would you like more details or have any questions about this process? 

Here are 5 related questions:
1. How would you calculate the median if there were an odd number of data points?
2. What is the mode of this data set?
3. How is the mean calculated for this data set?
4. Can the median be higher than the highest value in a data set?
5. What is the range of this data set?

**Tip:** The median is less sensitive to outliers than the mean, making it a better measure of central tendency when a data set contains extreme values.

Consider the following data. 12,−6,−7,−9,4,0 Determine the median of the given data.

Learn how to find the median of the data set 12,−6,−7,−9,4,0. This problem involves key statistical concepts like central tendency and demonstrates the step-by-step process to calculate the median, ideal for students in Grades 6-8.

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