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 Blank

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!

Type your answer in the boxes

Fill in the Blank

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!

Type your answer in the boxes

Fill in the Blank

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!

Type your answer in the boxes

S =

(X - X)

i

2 n - 1

S =

(X - X)

i

2 n - 1

S =

(X - )

i

S =

(X - X )

i

S =

(X - X )

i

2

S =

(X - X )

i

2

S =

(X - X )

i

2 n - 1

S =

(X - X )

i

2 n - 1

1, 2

X =

1.5

S =

(X - X )

i

2 n - 1

1, 2

( 1 - 1.5 )

X =

1.5

+

S =

( 2 - 1.5 )

2

S =

(X - X )

i

2 n - 1

1, 2

( 1 - 1.5 )

X =

1.5

+

S =

( 2 - 1.5 )

2

S =

(X - X )

i

2 n - 1

1, 2

( 1 - 1.5 )

X =

1.5

+

S =

( 2 - 1.5 )

2 ( -.5 )

+

S =

( .5 )

2

( .25 )

+

S =

( .25 )

S =

(X - X )

i

2 n - 1

1, 2

( 1 - 1.5 )

X =

1.5

+

S =

( 2 - 1.5 )

2 ( -.5 )

+

S =

( .5 )

2

( .25 )

+

S =

( .25 )

S =

.5

1

S =

(X - X )

i

2 n - 1

1, 2

( 1 - 1.5 )

X =

1.5

+

S =

( 2 - 1.5 )

2 ( -.5 )

+

S =

( .5 )

2

( .25 )

+

S =

( .25 )

S =

.5

1 S =

.5

=

.70710678

S =

(X - X )

i

2 n - 1

2,9,8,5,12

X =

7.2

Range =

Median =

Mode =

10

none

S =

(X - X )

i

2 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 =

2 (-5.2) + (-2.2) + (.8) + (1.8) + (4.8)

2

S =

(X - X )

i

2 n - 1

2,9,8,5,12

X =

7.2

S =

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

2 S =

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

S =

(X - X )

i

2 n - 1

2,9,8,5,12

X =

7.2

S =

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

2 S =

(58.8)

S =

(X - X )

i

2 n - 1

2,9,8,5,12

X =

7.2

S =

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

2 S =

(58.8)

5 - 1

(4)

S =

(X - X )

i

2 n - 1

2,9,8,5,12

X =

7.2

S =

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

2 S =

(58.8)

5 - 1

(4)

S =

58.8

4

S =

(X - X )

i

2 n - 1

2,9,8,5,12

X =

7.2

S =

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

2 S =

(58.8)

5 - 1

(4)

S =

58.8

4 S =

14.7

S =

(X - X )

i

2 n - 1

2,9,8,5,12

X =

7.2

S =

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

2 S =

(58.8)

5 - 1

(4)

S =

58.8

4 S =

14.7 S =

3.834057902536163

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ENTC Lecture 2, Variation, Standard Deviation

​Teaching Style

​Teaching Style

​S =

​(X - X)

​i

2

​n - 1

​S =

​(X - X)

​i

2

​n - 1

​S =

​S =

​S =

​(X - )

​i

​S =

​(X - X )

​i

​S =

​(X - X )

​i

2

​S =

​(X - X )

​i

2

​S =

​(X - X )

​i

2

​n - 1

​S =

​(X - X )

​i

2

​n - 1

X =

​S =

​(X - X )

​i

2

​n - 1

​(​ 1 - 1.5 )

X =

​+

​S =

​(​ 2 - 1.5 )

2

2

​S =

​(X - X )

​i

2

​n - 1

​(​ 1 - 1.5 )

X =

​+

​S =

​(​ 2 - 1.5 )

2

2

​S =

​(X - X )

​i

2

​n - 1

​(​ 1 - 1.5 )

X =

​+

​S =

​(​ 2 - 1.5 )

2

2

​(​ -.5 )

​+

​S =

​(​ .5 )

Teaching Style

Teaching Style

S =

(X - X)

i

n - 1

S =

(X - X)

i

n - 1

S =

S =

S =

(X - )

i

S =

(X - X )

i

S =

(X - X )

i

S =

(X - X )

i

S =

(X - X )

i

n - 1

S =

(X - X )

i

n - 1

S =

(X - X )

i

n - 1

( 1 - 1.5 )

+

S =

( 2 - 1.5 )

S =

(X - X )

i

n - 1

( 1 - 1.5 )

+

S =

( 2 - 1.5 )

S =

(X - X )

i

n - 1

( 1 - 1.5 )

+

S =

( 2 - 1.5 )

( -.5 )

+

S =

( .5 )

( .25 )

+

S =

( .25 )

S =

(X - X )

i

n - 1

( 1 - 1.5 )

+

S =

( 2 - 1.5 )

( -.5 )

+

S =

( .5 )

( .25 )

+

S =

( .25 )