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SD, SE, Variance, Mean and Median Calculator


Please Input Numbers (Comma separated or in separated lines):
   

Standard Error of the Mean (SE) :
Standard Deviation (SD) :
Mean :
Median :
Variance :
Total Numbers :
       


Note: The standard deviation (SD) is a simple measure of the variablity of a data set. It tells you how tightly all the various examples are clustered. Smaller SD value means samples are clustered tightly, vice versa.


The formula of Mean is:
  
The Variance of a finite population of size n is:
The Standard Deviation is the square root of Variance:
The Standard Error of the Mean is::

Where:
      S1, S2, ... Sn are samples.
      µ is the population mean of the samples.
      n is the total sample number.


The median of a data set can be calculated by first sort the data set from lowest to highest (or highest to lowest), and then pick the middle value where the lower half and the higher half have equal number of samples. If the total number of samples is even, the median then is the mean of the two sample values in the middle.

For example, the median of data set 1,2,3,4,5 is the middle value 3, which separate the lower half 1,2 from the higher half 4,5. The median of data set 1,2,3,4 is (2 + 3) / 2 = 2.5.