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Median Finding 978C37

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Median Finding 978C37


1. The problem is about finding the median of a set of numbers arranged in ascending order. 2. The median is the middle value when the numbers are sorted. 3. If the number of values is odd, the median is the single middle number. 4. If the number of values is even, the median is the average of the two middle numbers. 5. To find the median for an odd number of values, locate the middle number at position $\frac{n+1}{2}$ where $n$ is the total count. 6. For an even number of values, find the two middle numbers at positions $\frac{n}{2}$ and $\frac{n}{2} + 1$, then calculate their average: $$\text{Median} = \frac{\text{middle}_1 + \text{middle}_2}{2}$$ 7. The question about subtracting by 2 between the two middle numbers is not part of the median calculation; instead, you add the two middle numbers and divide by 2. 8. Example: For the set [1, 3, 5, 7, 9], which has 5 (odd) numbers, the median is the 3rd number, 5. 9. For the set [1, 3, 5, 7], which has 4 (even) numbers, the median is $\frac{3 + 5}{2} = 4$. 10. So, do not subtract the two middle numbers; always add and divide by 2 for even counts.