Graphical Summary

Table 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

 

 

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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