ENTC Lecture 2, Variation, Standard Deviation

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Jon Casteel

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76 Slides • 6 Questions

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Teaching Style

Fill in the Blanks

Given a data set of 8,3,6,9,10

WithOUT using a calculator (except for calculating square and square roots), what would the SAMPLE Standard Deviation be?

Round to the 3rd decimal place!

Fill in the Blanks

Given a data set of 7,12,3,9,10

WithOUT using a calculator (except for calculating square and square roots), what would the SAMPLE Standard Deviation be?

Round to the 3rd decimal place!

Fill in the Blanks

Given a data set of 37,29,18,28

WithOUT using a calculator (except for calculating square and square roots), what would the SAMPLE Standard Deviation be?

Round to the 3rd decimal place!

S =

(X - X)

n - 1

S =

(X - X)

n - 1

S =

(X - )

S =

(X - X )

S =

(X - X )

S =

(X - X )

S =

(X - X )

n - 1

S =

(X - X )

n - 1

1, 2

X =

1.5

S =

(X - X )

n - 1

1, 2

( 1 - 1.5 )

X =

1.5

S =

( 2 - 1.5 )

S =

(X - X )

n - 1

1, 2

( 1 - 1.5 )

X =

1.5

S =

( 2 - 1.5 )

S =

(X - X )

n - 1

1, 2

( 1 - 1.5 )

X =

1.5

S =

( 2 - 1.5 )

( -.5 )

S =

( .5 )

( .25 )

S =

( .25 )

S =

(X - X )

n - 1

1, 2

( 1 - 1.5 )

X =

1.5

S =

( 2 - 1.5 )

( -.5 )

S =

( .5 )

( .25 )

S =

( .25 )

S =

 .5

 1

S =

(X - X )

n - 1

1, 2

( 1 - 1.5 )

X =

1.5

S =

( 2 - 1.5 )

( -.5 )

S =

( .5 )

( .25 )

S =

( .25 )

S =

 .5

 1

S =

 .5

 .70710678

S =

(X - X )

n - 1

2,9,8,5,12

X =

7.2

Range =

Median =

Mode =

10

none

S =

(X - X )

n - 1

2,9,8,5,12

(2 - 7.2) + (5 - 7.2) + (8 - 7.2) + (9 - 7.2) + (12 - 7.2)

X =

7.2

S =

(-5.2) + (-2.2) + (.8) + (1.8) + (4.8)

S =

(X - X )

n - 1

2,9,8,5,12

X =

7.2

S =

(-5.2) + (-2.2) + (.8) + (1.8) + (4.8)

S =

(27.04) + (4.84) + (.64) + (3.24) + (23.04)

S =

(X - X )

n - 1

2,9,8,5,12

X =

7.2

S =

(-5.2) + (-2.2) + (.8) + (1.8) + (4.8)

S =

(58.8)

S =

(X - X )

n - 1

2,9,8,5,12

X =

7.2

S =

(-5.2) + (-2.2) + (.8) + (1.8) + (4.8)

S =

(58.8)

5 - 1

(4)

S =

(X - X )

n - 1

2,9,8,5,12

X =

7.2

S =

(-5.2) + (-2.2) + (.8) + (1.8) + (4.8)

S =

(58.8)

5 - 1

(4)

S =

58.8

S =

(X - X )

n - 1

2,9,8,5,12

X =

7.2

S =

(-5.2) + (-2.2) + (.8) + (1.8) + (4.8)

S =

(58.8)

5 - 1

(4)

S =

58.8

S =

14.7

S =

(X - X )

n - 1

2,9,8,5,12

X =

7.2

S =

(-5.2) + (-2.2) + (.8) + (1.8) + (4.8)

S =

(58.8)

5 - 1

(4)

S =

58.8

S =

14.7

S =

3.834057902536163

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