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Graphical SummaryTable of Statistics - Median |
The median (also called the 2nd quartile or 50th percentile) is the middle observation in the data set. It is determined by ranking the data and finding observation number [N + 1] / 2.
If there are an even number of observations, the median is extrapolated as the value midway between that of observation numbers N / 2 and [N / 2] + 1.
The median is less sensitive to extreme values than the mean. Therefore, the median is often used instead of the mean when data contain outliers, or are skewed.
Example Output |
Anderson-Darling Normality Test A-Squared: 0.99 P-Value: 0.008
Mean 3.6364 StDev 2.3779 Variance 5.6545 Skewness 2.11078 Kurtosis 5.61936 N 11
Minimum 1.0000 1st Quartile 2.0000 Median 3.0000 3rd Quartile 4.0000 Maximum 10.0000
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The median is listed in the middle of the Graphical Summary.
Interpretation |
In the precipitation data set, there are 11 (non-missing) observations. Thus, the median is the value of observation number [11 + 1] / 2, or the 6th highest observation, which is 3:
1 2 2 3 3 3 3 4 4 5 10
Notice the median of this data set would be 3 even if there were 30 days with precipitation in April instead of 10.
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