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Measure of Relative Standing Position - Lecture Slides | MATH 1530, Study notes of Probability and Statistics

Material Type: Notes; Class: Elementary Probability & Statistics; Subject: Mathematics; University: Pellissippi State Technical Community College; Term: Unknown 1989;

Typology: Study notes

Pre 2010

Uploaded on 08/18/2009

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Measures of
Relative Standing
(Position)
Section 2-6
zScore (or standard score)
the number of standard deviations
that a given value xis above or below
the mean
Measures of Relative Standing
(Position)
Sample
z = x -x
s
Measures of Position
z score
Sample
z = x -x
s
Population
z = x -µ
σ
Measures of Position
z score
pf3
pf4

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Measures of

Relative Standing

(Position)

Section 2-

z

Score

(or standard score)

the number of standard deviationsthat a given value

x

is above or below

the mean

Measures of Relative Standing

(Position)

Sample

z =

x

x

s

Measures of Position

z score

Sample

z =

x

x

s

Population

z =

x

σ

Measures of Position

z score

Sample

z =

x

x

s

Population

z =

x

σ

Measures of Position

z score

Round to 2 decimal places

  • 3
  • 2
  • 1

Z

Unusual

Values

Unusual

Values

Ordinary

Values

Interpreting Z Scores

FIGURE 2-

Other Measures of Position

Quartiles

Percentiles

Q

1

, Q

2

, Q

3

divides ranked scores into four equal parts

Quartiles25%

25%

25%

25%

Q

3

Q

2

Q

1

(minimum)
(maximum)
(median)

Quartiles

Q

1

= P

25

Q

2

= P

50

Q

3

= P

75