median of the following data6, -10, 4, 500, -50 isGroup of answer choices906-104

1. Break Down the Problem

To find the median of the given data set, we first need to arrange the numbers in ascending order. Then, we will determine the median based on the number of data points.

2. Relevant Concepts

The median is the middle value of a data set. If the number of observations (n) is odd, the median is the middle number. If n is even, it is the average of the two middle numbers.

3. Analysis and Detail

• Given data: 6, -10, 4, 500, -50
• Step 1: Sort the data in ascending order.
  • Sorted data: -50, -10, 4, 6, 500
• Step 2: Determine the number of data points.
  • Here, n = 5 (which is odd).
• Step 3: Find the median.
  • The median is the middle number in the sorted list.
  • Given n = 5, the median is the 3rd value in the sorted list, which is 4.

4. Verify and Summarize

The sorted list has five data points, and the third one is indeed 4. Thus, the calculations are verified.

Final Answer

The median of the given data set is $4$.