Standard Deviation

The standard deviation is a measure of how widely values are dispersed from the average value (or the mean).

The Excel formula syntax is:

STDEV(number1,number2,...)

Number1, number2, ...   are 1 to 30 number arguments corresponding to a sample of a population. You can also use a single array or a reference to an array instead of arguments separated by commas.

Remarks

  • STDEV assumes that its arguments are a sample of the population. If your data represents the entire population, then compute the standard deviation using STDEVP.
  • The standard deviation is calculated using the "n-1" method.
  • Arguments can either be numbers or names, arrays, or references that contain numbers.
  • Logical values and text representations of numbers that you type directly into the list of arguments are counted.
  • If an argument is an array or reference, only numbers in that array or reference are counted. Empty cells, logical values, text, or error values in the array or reference are ignored.
  • Arguments that are error values or text that cannot be translated into numbers cause errors.
  • If you want to include logical values and text representations of numbers in a reference as part of the calculation, use the STDEVA function.
  • STDEV uses the following formula:

    where x is the sample mean AVERAGE(number1,number2,…) and n is the sample size.