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Mean, Variance, Standard Deviation

The mean or average of a set of data represents the characteristic nature or central tendency of those numbers. This is the figure you would expect to occur most often over the long run.

The variance is a measure of how spread out those numbers are among each other. The range between the highest and lowest numbers would indicate variation. Generally, the smaller the range the lower is the calculated variance; the larger the range the higher will be the calculated variance.

The variance is calculated as the average squared difference between each number and the mean. For example, for the numbers 4, 5, and 6 :-

  • mean (average)  =  (4+5+6)/3 = 5.
  • variance  = ((4-5)² + (5-5)² + (6-5)²) /  3 = 0.67
  • The standard deviation is the square root of the variance.
    standard deviation  = √((4-5)² + (5-5)² + (6-5)² / 3 = 0.8

To calculate the Mean, Variance and the Standard Deviation input the numbers in the text box separating each number with ONE (1) SPACE ONLY. Then press 'Get Results'

Mean, Variance, Standard Deviation, Range
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