haidich@med.auth.gr 12/10/2011

n

ii

XX

n==

1

/

n

n n

x n

x xn

+

+

= +

12

1 21

2 2

2

50% (50 2 [Q2])

/

n

n n

x n

x xn

+

+

= +

12

1 21

2 2

2 (n=5): 1, 3, 10, 15, 18

=10

(n=8): 2, 5, 6, 9, 10, 17, 20, 23

= (9+10)/2 = 9,5

( )x x x+

= =5 1 6 3

22

( )x x

= =8 42

9 ( ) ( )x X X+ +

= = =58 4 112

10

.. 1, 1, 2, 3, 3, 3, 4 3 3, 3, 3, 6, 8, 10, 15, 15, 15 3, 15

(pmol/l) 11 :

66 72 79 84 102 169 414 144 123 110 162

,X + + + + + + + + + += = 66 72 79 84 102 169 414 144 123 110 162 1525 138 6411 11

: 66 72 79 84 102 110 123 144 162

169 414

110 pmol/l

( )nx x x+ +

= =1 11 1 62 2

(kg/m2) 40 35 30 25 20 15

30

20

10

0

= =

< <

< <

=

( ) = 75 25 = Q3 Q1

( )n

ii

X XS

n=

=

22 1

1

( )n

ii

X XS

n=

=

21

1

(SD)

(Range)

2

2

(IQR)

50%

(IQR)

4 IQR (interquartile range) = Q3 Q1

( ) ( )n nIQR x x

+ +

= 3 11 14 4

(boxplot)

45

40

35

30

25

20

15

10

Q3

Q2

Q1

IQR

IQR

(k

g/m

2 )

(pmol/l) 11 :

66 72 79 84 102 169 414 144 123 110 162

,X =138 6

xi 66 72 79 84 102 169 414 144 123 110 162

138,6

138,6

138,6

138,6

138,6

138,6

138,6

138,6

138,6

138,6

138,6

-72,6

-66,6

-59,6

-54,6

-36,6

30,4

275,4

5,4

-15,6

-28,6

23,4

5270,8

4435,6

3552,2

2981,2

1339,6

924,2

75845,2

29,2

243,4

817,9

547,6

ix x

x

( )ix x2

( ), , pmol/l

n

ii

X XS

n=

= = =

21 95986 56 97 97

1 10

xi 66 72 79 84 102 169 414 144 123 110 162

xi 1525

(xi)2 2325625

xi2 4356 5184 6241 7056 10404 28561 171396 20736 15129 12100 26244

xi2

307407

( )

, pmol/l

=

=

= = =

n

ini

ii i

XX

nSn

2

2 1

1

232562530740711 97 97

1 10

: 66 72 79 84 102 110 123 144 162

169 414

= 414 66 = 348

Q1= x (n+1)*1/4 = x (11+1)*1/4 = x (3) = 79 Q3= x (n+1)*3/4 = x (11+1)*3/4 = x (9) = 162

E = 162 79 =83 66 72 79 84 102 110 123 144 162 169 414 Q1 Q2 Q3

66 72 79 84 102 110 123 144 162 169 414

138,6 111,1 pmol/l 110 106 pmol/l 97,97 37,39 pmol/l 348 103 pmol/l IQR 83 71.25 pmol/l

Slide Number 2 (SD) (Range) (IQR) (IQR) (boxplot)