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Statistics university level, Study notes of Statistics

Bahria University (BU)Statistics

Formula sheet for statistics helpful for all bachelors students

Typology: Study notes

2019/2020

Uploaded on 01/04/2020

hi2917510a-350
hi2917510a-350 🇵🇰

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bg1
List of Formulae
1.
x
z
2.
n
x
z/
3.
ns
x
t/
4. n =
2
2
e
z
5.
n
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22
6.
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n
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tx
22
7.
8.
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10.
11.
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n
s
n
n
s
n
s
n
s
12.
13.
n
ii
ii
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eo
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2
2
)(
14.
2
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1
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2
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2
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)1()1(
snsn
15.
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2
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2
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16.
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17.
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2121
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pf3

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List of Formulae

 

x

z

n

x

z

s n

x

t

/

 

  1. n =

2

2

e

z

n

x z

n

x z

 

2 2

n

s

x t

n

s

x t

2 2

 

  3. t

]

] [

[

2

2

2

2

2

1

2

1

2

1

2

2

2

2

1

2

1

n

n

s

n

n

s

n

s

n

s

n

s

d t

n

s

d t

d

D

d

2 2

 

n

i i

i i

e

o e

1

2

2

2

2

1

2

2

2

2

2

( 1 ) ( 1 )

 

 

ns n s

2

2

2

2

2

1

2

1

s

s

f

( , )

( ,

1

2 1

2

2

2

2

1

2

2

2

1

1 2 )

2

2

2

2

1

 

 

f

s

s

s f

s

 

2

2

2

1

2

1

2

1 2 1 2

2

2

2

1

2

1

2

1 2

n n

x x z

n n

x x z

 

1 2

2

1 2 1 2

1 2

2

1 2

1 1

( )

1 1

( )

n n

x x t S

n n

x x t S

p p

        

 

 

1 2

2

2 2

2

1 1

2

n n

n s n s

S

p

2

2

2

1

2

1

2

1 2 1 2

2

2

2

1

2

1

2

1 2

n

s

n

s

x x t

n

s

n

s

xxt       

 

 

n

p p

P p z

n

p p

p z

2 2

 

FINAL TERM – SPRING 2015 (SI) M. KHURRAM AMIN

2

1

2

n

r

t

r

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