Graphical Summary

Table of Statistics - Standard Deviation (Stdev) and Variance

  

The standard deviation and variance measure dispersion, or how far the observations in a sample deviate from the mean. The standard deviation is analogous to an average distance (independent of direction) from the mean. The variance is simply the standard deviation squared.

Like the mean, the standard deviation (as well as the variance) is very sensitive to extreme values.

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 standard deviation and variance are listed in the middle right of the Graphical Summary.

Interpretation

The standard deviation for the precipitation data is 2.3779. This tells you that on average, the values in the data set tend to differ from the mean by + 2.3779.

The variance for the precipitation data is 5.6545.

The large value of 10 days with precipitation for April increases the standard deviation quite a bit. Without this value, the standard deviation would be 1.155 instead of 2.3779. Conversely, if April had 30 days of rain, the standard deviation would be 8.210!