Summary
Zusammenfassung Statistik 1
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Wintersemster, Statistik 1
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2.1 Tabellarischen .grafische Darstellung
uniuariater Daten
1. Absolute Häufigkeit
ET1mi =
M1 -1 . . . -1hm =p
; =
I-t-figk-uta-bs-d.tn .
2. Relative Häufigkeit Hneiatiu =
Anzahl d. Beobachtungen 0100
für %
3. Kumulierte Häufigkeit
a) Häufigkeitstabellen
b) Häufigkeitsverteilung
22 Stab , Säulen -
und Balken
diagramm
Zentrale Prinzipien f. statische Grafiken Arten von
Diagrammen
1. Selbsterklärend ( qualitative Information) 1 .
Stabdiagrauuu
2. numerische Transparenz ( quantitaet lnf .
) 2 . Säulendiagramm a) Gestapelte> D .
-
~
3.
graphische Integrität ( Korrektheit d.
Inf ) b) Pareto D .
Attraktivität
4.
optische (
Anziehungskraft f. d. Rezipienten ) 3. Balken
diagramm
360°
ni ◦
4. Kreischa di
=
grauem
i
Eni
~
5. Liniendiagramm
6.
Infografiken a) Gerichteter Graph
3. 0
Lagen Streußungsuraße .
b) Sankey -
D .
1. Modalwcrt Die Zahl d. am
Häufigsten vorkommt
2. Min IMAX ( ✗ min / ✗ max )
✗ / )
"
3. Median I I= =
n
ungerade min . 50% Bw < o .
= und
:-( { }
min
50.1 . Bw > 0 .
=
I
I ✗ E) ✗ Eu =
n
gerade
hin . P -
100.1 . alle BWL 0 .
=
Und
4. Quantik Median ( Fo Xqg) min
.
p -0,5 . 11 -
p ) -100-1 alle BW . > o - =
x-p
Unteres Quartal /Fons ,Q1 ) D= 0,25
oberes Quartal ( Fo >5,63 ) p ,
= 0175
K
k tes Perzentil
-
15-100
alles zsm zählen
∅
5. Arithmetisches Mittel I =
Anzahl d Zahl keinen keiner 2
.
②
.
=/¥+2,1
✗ narm
6. Harmonisches Mittel
n
2min14 4min14
Enorm
g-
7. Geometrisches Mittel i-geo-F.FI Für Q
,
.IE?E%FFYFEi!E-----7x-geo=Ts-.-Ees. , ≈ g. a. |
.
u . R eines
8. Spannweite R Max Datensatzes
Min
gilt
=
-
① ≤R
9. Quartilsabstand Oberes Q -
Unteres Q
Summe BW
g?
10 .
empirische Varianz Anzahl BW
II.
empirische Standardabw .
SF
1
1.
Rangwertliste
12 . Mittlere absolute Abweichung D= D- { IXI -
It
2.
3
Median bestimmen
Yan zahl 1*1 1)
.
-
Median ) + ( Xz Median -
emp Stand abw
/ Verwendet
.
. .
✓=
13 . Variation 2-
Koeffizient aritn . mittel wenn alte BW positiv sind
14 Standardisierte Daten 0
☒ →
.
✗i -
a) Z -
Stand .
Z; =
Sy → sabw . BW positiver Standardabw -
Box Plots
✗ 111 ✗(n )
Min . 5=0,25 ¥ 5=0175 Max .
MEDIAN
Unteres Q oberes Q
I I I I I I I I I I I
Skala
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