Subjects statistics

Median Determination

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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.