Find the median for the following data.Round your answer to 2 decimal places as needed.80 999 4331 951 7290 7629 456 7391 Median =

1. Break Down the Problem

To find the median, we first need to organize the given data in ascending order. The median is the middle number in a sorted list.

2. Relevant Concepts

The median can be computed as follows:

• If the number of observations (n) is odd, the median is the middle number, which can be found at the position $(n + 1)/2$.
• If n is even, the median is the average of the two middle numbers, located at positions $n/2$ and $(n/2) + 1$.

3. Analysis and Detail

1. Sort the data: The data provided is: $80, 999, 4331, 951, 7290, 7629, 456, 7391$ Sorting these values: $80, 456, 951, 999, 4331, 7290, 7391, 7629$

2. Count the number of observations: There are 8 observations, which is even.

3. Determine the positions for the median: The two middle numbers are at positions $4$ and $5$:

   • 4th number: 999
   • 5th number: 4331

4. Calculate the median: $\text{Median} = \frac{999 + 4331}{2} = \frac{5330}{2} = 2665$

4. Verify and Summarize

We calculated the median based on the sorted data and confirmed we have 8 values, which leads to an average of the middle two numbers.

Final Answer

The median is $2665.00$.