Other
Statistiek oefeningen + oplossingen
- Course
- Institution
[Show more]
4 reviews
By: sebas-schyns • 5 year ago
By: suussmit • 6 year ago
only solutions without questions are not described in the explanation
By: nadia5b • 6 year ago
By: jolien2014 • 6 year ago
Seller
Follow
FranG
Reviews received
Content preview
,,Inhoud
Hoofdstuk 1 ............................................................................................................................................. 5
Oefening 1.1 ........................................................................................................................................ 5
Oefening 1.2 ........................................................................................................................................ 6
Oefening 1.3 ........................................................................................................................................ 7
Oefening 1.4 ........................................................................................................................................ 7
Hoofdstuk 2 ............................................................................................................................................. 9
Oefening 2.1 ........................................................................................................................................ 9
Oefening 2.2 ........................................................................................................................................ 9
Oefening 2.3 ........................................................................................................................................ 9
Oefening 2.4 ........................................................................................................................................ 9
Oefening 2.5 ...................................................................................................................................... 10
Oefening 2.6 ...................................................................................................................................... 10
Hoofdstuk 3 ........................................................................................................................................... 12
Oefening 3.1 ...................................................................................................................................... 12
Oefening 3.2 ...................................................................................................................................... 12
Oefening 3.3 .......................................................................................................................................... 12
Oefening 3.4 ...................................................................................................................................... 12
Oefening 3.5 ...................................................................................................................................... 13
Oefening 3.6 ...................................................................................................................................... 13
Oefening 3.7 ...................................................................................................................................... 13
Oefening 3.8 ...................................................................................................................................... 14
Oefening 3.9 ...................................................................................................................................... 14
Oefening 3.10 .................................................................................................................................... 14
Oefening 3.11 .................................................................................................................................... 15
Oefening 3.12 .................................................................................................................................... 15
Hoofdstuk 4 ........................................................................................................................................... 16
Oefening 4.1 ...................................................................................................................................... 16
Oefening 4.2 ...................................................................................................................................... 16
Oefening 4.3 ...................................................................................................................................... 17
Oefening 4.4 ...................................................................................................................................... 17
Oefening 4.5 ...................................................................................................................................... 18
Oefening 4.6 ...................................................................................................................................... 18
Hoofdstuk 5 ........................................................................................................................................... 19
Oefening 5.1 ...................................................................................................................................... 19
Oefening 5.2 ...................................................................................................................................... 19
Oefening 5.3 ...................................................................................................................................... 20
Oefening 5.4 ...................................................................................................................................... 21
Oefening 5.5 ...................................................................................................................................... 21
3
, Oefening 5.6 ...................................................................................................................................... 22
Hoofdstuk 6 ........................................................................................................................................... 24
Oefening 6.1 ...................................................................................................................................... 24
Oefening 6.2 ...................................................................................................................................... 24
Oefening 6.3 ...................................................................................................................................... 25
Oefening 6.4 ...................................................................................................................................... 26
Oefening 6.5 ...................................................................................................................................... 27
Oefening 6.6 ...................................................................................................................................... 27
Oefening 6.7 ...................................................................................................................................... 28
Oefening 6.8 ...................................................................................................................................... 28
Oefening 6.9 ...................................................................................................................................... 29
Oefening 6.10 .................................................................................................................................... 29
Oefening 6.11 .................................................................................................................................... 29
Hoofdstuk 7 ........................................................................................................................................... 31
Oefening 7.1 ...................................................................................................................................... 31
Oefening 7.2 ...................................................................................................................................... 32
Oefening 7.3 ...................................................................................................................................... 33
4
,Hoofdstuk 1
Oefening 1.1
199 149
a. Bijdrage van de nieuwe waarde aan het nieuwe gemiddelde : 0,98
51
Het nieuwe gemiddelde is dus 126 + 0,98 = 126,98
b. 149 ligt rechts van de mediaan. Dat dit getal is verhoogd tot 191 verandert de mediaan niet.
c. De oude variantie kan geschreven worden als :
50
xi2 1492 51.1262
252 i 1
50
of
50
xi2 50.252 51.1262 1492 818725
i 1
50
Waarbij xi2 de som is van alle xi waarden die niet veranderd zijn (we zonderen het getal dat
i 1
wijzigt dus af uit de sommatie).
De nieuwe variantie kan geschreven worden als :
50
xi2 1992 51.(126,98) 2 818725 39601 822319,9
varnieuw i 1
720,12
50 50
De nieuwe standaardafwijking is dus 720,12 26,835
De standaardafwijking neemt dus toe met 1,835
5
,Oefening 1.2
a.
b. Het kleinste getal in de reeks is 10,2 hetgeen een afronding is tot één cijfer na de komma. Het
kleinst mogelijke getal in de niet-afgeronde waarden is dus 10,15.
Het grootste (afgeronde) getal in de reeks is 13,3. De bovengrens van de reeks is derhalve 13,35.
3, 2
Verschil tussen klasseuitersten : 3,2. Dus is de klassebreedte 4
8
c.
Ondergrens Bovengrens Klassemidden Frekwentie Totaal
10,15 10,55 10,35 4 41,4
10,55 10,95 10,75 6 64,5
10,95 11,35 11,15 8 89,2
11,35 11,75 11,55 6 69,3
11,75 12,15 11,95 10 119,5
12,15 12,55 12,35 4 49,4
12,55 12,95 12,75 1 12,75
12,95 13,35 13,15 1 13,15
6
, d. We kunnen deze waarden berekenen op basis van de frekwentietabel van de oorspronkelijke
getallen, ofwel met de frekwentietabel van de klassemiddens. Uiteraard zullen deze twee methodes
nagenoeg dezelfde resultaten geven.
1 p
Gemiddelde : x xi f i 11, 48
40 i 1
1 p
Standaarddeviatie : s ( xi x)2 f i 0,695
39 i 1
Oefening 1.3
Gemiddelde : 9,42
Variantie : 2,895
Standaarddeviatie : 1,701
Oefening 1.4
a. Gemiddelde, mediaan en modus nemen toe met 5,2 :
n xi 5, 2 n xi 1
x nieuw .n.5, 2 x oud 5, 2
i 1 n i 1 n n
Alle getallen nemen toe met 5,2 , dus ook de mediaan en de modus.
Variantie en spreidingsbreedte (r) blijven gelijk.
n [ xi 5, 2 ( x 5, 2)]2 n ( xi x) 2
varnieuw varoud
i 1 n 1 i 1 n 1
rnieuw ( xmax 5,2) ( xmin 5,2) xmax xmin roud
b. Gemiddelde, mediaan en modus worden vermenigvuldigd met 8.
n xi .8 n x
x nieuw 8. i 8.xoud
i 1 n i 1 n
7
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller FranG. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $3.26. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
62890 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now