Median
a measurement of average; a number in the middle of a set of numbers, or the mean of the two middle numbers in a set
The median is a measure of central tendency in statistics. It is the middle observation in a dataset when the observations are arranged in ascending or descending order. In other words, the median is the value that separates the dataset into two equal halves.
To calculate the median, we first need to arrange the observations in order. Then, we find the middle observation. If the number of observations is odd, the middle observation is the median. If the number of observations is even, we take the average of the two middle observations.
For example, consider the following dataset:
3, 5, 6, 7, 8, 9, 12
To find the median, we first arrange the values in order:
3, 5, 6, 7, 8, 9, 12
As there are 7 observations in this dataset, the middle observation is the fourth value, which is 7. Therefore, the median of this dataset is 7.
If the dataset had an even number of observations, we would take the average of the two middle observations. For example, consider the following dataset:
2, 4, 6, 8, 10, 12
To find the median, we first arrange the values in order:
2, 4, 6, 8, 10, 12
As there are 6 observations in this dataset, the middle observations are the third and fourth values, which are 6 and 8. Therefore, the median of this dataset is the average of 6 and 8, which is 7.
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