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CPY559I Research and Statistics Standard Deviation Presentation

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Standard Deviation (Chapter 5):

Standard Deviation (Chapter 5)

Objectives:

Objectives Brief Discussion of Symbols from Chapter 5 Standard Deviation (SD) Formulas Process of calculating a SD Estimating sample data to population SD

It’s All Greek to Me… :

It’s All Greek to Me… µ = population mean (can also be for sample mean) ∑ = “the sum of” X = represents the individual scores N = represents the number of scores = mean for research sample = sum of X (adding the total number of scores)

It’s All Greek to Me… :

It’s All Greek to Me… ơ = formula for sample standard deviation (SD) S = formula for population SD s = formula for standard deviation to estimate population SD from sample data

Table Information Used for Calculation Demonstrations :

Table Information Used for Calculation Demonstrations X X- |X- | ( X- ) 2 10 4 4 16 8 2 2 4 6 0 0 0 4 -2 2 4 2 -4 4 16 = 30 ∑ (X- ) 2 = 40 = 6 N = 5

Standard Deviation (SD) using Population SD Formula :

Standard Deviation (SD) using Population SD Formula = 30 (X- ) 2 = 40 = 6 N = 5 S = = = = 2.83 S = 2.83

Using Sample Data to Estimate the Population SD:

Using Sample Data to Estimate the Population SD = 30 (X- ) 2 = 40 = 6 N = 5 s = = = = 3.16 s = 3.16

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