Variance and Standard Deviation (Tables) Lecture 10

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1 Variace ad Stadard Deviatio (Tables) Lecture 10

2 Variace ad Stadard Deviatio Theory I this lesso: 1. Calculatig stadard deviatio with ugrouped data.. Calculatig stadard deviatio with grouped data. What you should be able to do: 1. Calculate stadard deviatio of tables with group or ugrouped data.

3 Calculatig Stadard Deviatio with ugrouped data Whe calculatig stadard deviatio with frequecy tables, always use the followig formula: Ugrouped data σ = Σfx i Σfx i Add the colums: fx, fx, ad the row: total. The big differeces betwee calculatig with ugrouped data ad lists is that you must multiply by the frequecy.

4 Calculatig Stadard Deviatio with ugrouped data Whe calculatig stadard deviatio with frequecy tables, always use the followig formula: Ugrouped data σ = Σfx i Σfx i Add the colums: fx, fx, ad the row: total. Step : Fill out the ew table. Step 3: Put the umbers from the total row ito the correct parts of the formula Step 4: Subtract the two umbers Step 5: Take the square root of the variace to fid the stadard deviatio Σfx i Σfx i The big differeces betwee calculatig with ugrouped data ad lists is that you must multiply by the frequecy.

5 Calculatig Stadard Deviatio with ugrouped data Whe calculatig stadard deviatio with frequecy tables, always use the followig formula: Ugrouped data Σfx i Σfx i σ = 154, σ = Σfx i Σfx i 4, σ studets σ = 154, σ studets 4, The big differeces betwee calculatig with ugrouped data ad lists is that you must multiply by the frequecy. Add the colums: fx, fx, ad the row: total. Step : Fill out the ew table. Step 3: Put the umbers from the total row ito the correct parts of the formula Step 4: Subtract the two umbers Step 5: Take the square root of the variace to fid the stadard deviatio

6 Calculatig Stadard Deviatio with ugrouped data Whe calculatig stadard deviatio with frequecy tables, always use the followig formula: Grouped data σ = Σfx i Σfx i Add the colums: midpoit x, fx, fx, ad the row: total. The big differeces betwee calculatig with grouped data ad ugrouped data is that you must fid the midpoit of each row.

7 Calculatig Stadard Deviatio with ugrouped data Whe calculatig stadard deviatio with frequecy tables, always use the followig formula: Grouped data σ = Σfx i Σfx i Add the colums: midpoit x, fx, fx, ad the row: total. Step : Fill out the ew table. Step 3: Put the umbers from the total row ito the correct parts of the formula Step 4: Subtract the two umbers Step 5: Take the square root of the variace to fid the stadard deviatio x Σfx i Σfx i The big differeces betwee calculatig with grouped data ad ugrouped data is that you must fid the midpoit of each row.

8 Calculatig Stadard Deviatio with ugrouped data Whe calculatig stadard deviatio with frequecy tables, always use the followig formula: Grouped data x Σfx i Σfx i σ = σ = Σfx i 6, σ mi σ = 6, σ mi Σfx i Add the colums: midpoit x, fx, fx, ad the row: total. Step : Fill out the ew table. Step 3: Put the umbers from the total row ito the correct parts of the formula Step 4: Subtract the two umbers Step 5: Take the square root of the variace to fid the stadard deviatio The big differeces betwee calculatig with grouped data ad ugrouped data is that you must fid the midpoit of each row.

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