Standard Deviation Definition Formulas
Definition formulas for the descriptive statistics VARIANCE & STANDARD DEVIATION OF A SAMPLE. Definition formulas for the descriptive statistics VARIANCE & STANDARD DEVIATION OF A POPULATION.
The DEFINITION FORMULA for the SAMPLE STANDARD DEVIATION above appears in Witte & Witte, 7th Edition, on p. 90, as Formula 5.1.The DEFINITION FORMULA for the POPULATION STANDARD DEVIATION above appears in Witte & Witte, 7th edition, on p. 91, as Formula 5.2.
Definition formulas for the INFERENTIAL STATISTICS estimating the VARIANCE & STANDARD DEVIATION OF A POPULATION from SAMPLE DATA. Note the use of the script version of the letter "s" here.
The DEFINITION FORMULA for the INFERENTIAL STATISTIC estimating the STANDARD DEVIATION OF A POPULATION from SAMPLE DATA which is used above appears in Witte & Witte, 7th Edition, on p. 317 where our authors use a smaller font version of the capital letter "S" instead of the script letter "s" we are using. The formula number is Formula 19.4.

Note: the use of the correct symbols for these statistics is critical. View a symbol summary table here.

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These pages were created and are maintained by, Dr. Anthony A. Walsh. They first went on-line in early January, 1996. Contact him directly if you have comments or questions at: walsh@salve.edu---100 Ochre Point Avenue, Newport, Rhode Island USA 02840 | 401-847-6650x3120--- [Created 020927] Revised: February 14, 2005[ Cybercuriosities ]