Median Determination
1. Problem statement: We need to find the median of a given series, which is the middle value when the data is arranged in ascending order.
2. Formula and explanation: The median depends on whether the number of observations $n$ is odd or even.
- If $n$ is odd, median = value at position $\frac{n+1}{2}$.
- If $n$ is even, median = average of values at positions $\frac{n}{2}$ and $\frac{n}{2} + 1$.
3. Steps to find the median:
- Arrange the data in ascending order.
- Count the number of observations $n$.
- Apply the formula based on whether $n$ is odd or even.
4. Explanation: The median divides the data into two equal halves, so it is a measure of central tendency that is not affected by extreme values.
Since the user did not provide a specific data set, this is the general method to find the median.