de.wikipedia.org website review
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de.wikipedia.org is 59% geoptimaliseerd!
SEO Keyword summary for de.wikipedia.org/wiki/konfidenzintervall
Keywords are extracted from the main content of your website and are the primary indicator of the words this page could rank for. By frequenty count we expect your focus keyword to be displaystyle
Focus keyword
Short and long tail
Short Tail Keywords displaystyle der frac |
long Tail Keywords (2 words) fr ein das konfidenzintervall den wahren fr den 2014 isbn |
long Tail Keywords (3 words) mit 95 wahrscheinlichkeit den wahren mittelwert konfidenzintervalle und hypothesentests mit unbekannter varianz 2014 isbn 978-3-642-41996-6 den wahren wert fr den parameter |
de.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a de.wikipedia.org/wiki/konfidenzintervall page is used to inform the browser and visitors of the page about the general meta information. The head section of the page is where we place the page title, the definition of the HTML version used, the language of in which the page is written. In the head section we can also include JavaScript and CSS (markup) files for the page.
Page title
Title length
konfidenzintervall ndash wikipedia
Meta description
Meta description legth
Meta description SEO
No meta relevance in the description detected !
Content SEO
Number of Words
Spam detected?
Headings
Heading distribution
Heading normalisation
Heading SEO impact
Emphasis (bold and italic)
Emphasis SEO impact
Images
Number of images
Images dimensions
Image alt descriptions
Images SEO impact
displaystyle gamma cdot vartheta tuhux tvhvx plefttuleq leq tvrightgamma quad mathrm fddot uralle theta tutv alpha xmathcal apvartheta gcolon subset mathbb ccolon xto mathcal pgamma agamma xin xmid xinfty bxc xbxbxtextoderc xbxinfty pvartheta gvartheta cxgeq bxgeq bxleq geq hat mlpm frac sqrt partial ell log lcdot operatorname leftfrac mlright sigma sum nfrac ximu rightmu nhat mlfrac overline xfrac nsum nxi dotsc var xsim nleftmu nright xuoverline poverline xuleq xleq zfrac xmu pleftzleft tfrac rightleq nleq zleft rightright textstyle right pleftoverline xzleft rightfrac leftoverline ezleft xioverline ssqrt chi left ldots bkxk beta jright xtleft dotsb beginaligneds nxioverline endaligned tleft righttleft wikimedia foundation powered mediawiki
Mobile SEO de.wikipedia.org/wiki/konfidenzintervall
Mobile rendering
Mobile optimizations
Responsive design detected (mobile css)
No flash detected !
Mobile improvement
Marketing / lead generation for de.wikipedia.org/wiki/konfidenzintervall
Social Media
Facebook shares | Facebook likes | ||
Facebook comments | Tweets | ||
Google +1 |
Conversion form
Search form
Analytics
Online presence
SERP Preview
SERP Title
SERP Link
SERP Description
Domain Level SEO
Domain name
16 characters long
Domain name SEO Impact
Path name
den found in path !
konfidenzintervall found in path !
Structured data
Publisher Markup
Other Structured data
Website configuration
Correct processing of non-existing pages?
Favicon icon found?
Robots.txt found?
Sitemap found?
Navigation and internal links
Navigation
Url seperator
Human readable urls
Number of links
Link SEO Impact
statistiken
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pseudoreplikation
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permanenter link
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versionsgeschichte
seiteninformationen
druckversion
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wiki normalverteilung
erwartungswert
frequentistischen
statistik
intervall
przision
lageschtzung
parameters
mittelwerts
verteilung
standardisiert
berdeckungswahrscheinlichkeit
wahren
stichprobe
stochastisch
schtzverfahren
grundgesamtheit
schtzfunktion
bereichsschtzer oder intervallschtzer
punktschtzern
signifikanz
zufallsstichprobe
variabilitt
glaubwrdigkeitsintervallen
prognoseintervall
statistiken
realisierungen
zufallsexperiment
bayesschen pendant
relative hufigkeit
statistisches modell
parameterfunktion
potenzmenge
formhypothesenkonfidenzbereiche zu formhypothesen
schtzung der varianz einer schtzfunktion
waldkonfidenzintervalle
fisherinformation
loglikelihoodfunktion
standardfehler
maximumlikelihoodschtzers
unabhngig und identisch verteilte zufallsvariablen
logit
likelihoodquotienten
nichtparametrische
bootstrapping
einfache zufallsstichprobe
varianz
erwartungstreue
stichprobenmitteleigenschaften
zentralen schwankungsintervalls
stichprobenverteilung
standardnormalverteilung
standardabweichung
stichprobenumfang
normalverteilungsmodell
korrigierte stichprobenvarianz
tverteilung
freiheitsgraden
zentralen grenzwertsatzes
konfidenzintervall fr die erfolgswahrscheinlichkeit der binomialverteilung
beta
fverteilung
dualitt von tests und konfidenzbereichen
statistischer test
nullhypothese
pwert
trennschrfe
effizient
regressionsanalyse
multiplen linearen regressionsmodell
regressionskoeffizienten
globaler ftest
unverflschtheit
gleichmig besten tests
tverteilung
berechnung des konfidenzintervalls excelfunktion betainv
ulrich krengel
joachim hartung
aql
lesen
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Links to external pages
Outloing links
www.uni-siegen.de
www.encyclopediaofmath.org
www.springer.com
www.doi.org
personal.psu.edu
commons.wikimedia.org
ar.wikipedia.org
az.wikipedia.org
bg.wikipedia.org
cs.wikipedia.org
da.wikipedia.org
en.wikipedia.org
eo.wikipedia.org
es.wikipedia.org
eu.wikipedia.org
fa.wikipedia.org
fr.wikipedia.org
gl.wikipedia.org
he.wikipedia.org
hu.wikipedia.org
hy.wikipedia.org
is.wikipedia.org
it.wikipedia.org
ja.wikipedia.org
kn.wikipedia.org
ko.wikipedia.org
lt.wikipedia.org
nl.wikipedia.org
nn.wikipedia.org
no.wikipedia.org
pl.wikipedia.org
pt.wikipedia.org
ru.wikipedia.org
sq.wikipedia.org
su.wikipedia.org
sv.wikipedia.org
ta.wikipedia.org
uk.wikipedia.org
vi.wikipedia.org
wuu.wikipedia.org
zh.wikipedia.org
zh-yue.wikipedia.org
www.wikidata.org
www.creativecommons.org
foundation.wikimedia.org
foundation.wikimedia.org
foundation.wikimedia.org
foundation.wikimedia.org
SEO Advice for de.wikipedia.org
In this section we provide pointers on how you can to optimize your web page so it can be found more easily by search engines and how to make it rank higher by optimizing the content of the page itself. For each of the individual criteria the maximum score is 100%. A score below 70% is considered to be indication that the page is not complying with general SEO standards and should be evaluated and/or fixed. Not every factor is weighted the same and some are not as important as others. Relatively unimportant factors like meta keywords are not included in the overall score.
Item | Factor | Pointers | |
---|---|---|---|
PageTitle | 100% | Far too many sites lack a page title. A page title is the first thing that shows in the search results so always use the title element. | |
Title relevance | 43% | A title should reflect the contents of a site. This site has a 33 % match | |
Title Length | 80% | Limit your title to anywhere between 40 and 70 characters. Your title was 37 characters long | |
Meta Description | 0% | A meta description is the second element that shows in the search results so always use the meta description. | |
Meta description length | 0% | The meta description should be between 145 and 160 characters. This meta description is 1 characters long. | |
Meta description relevance | 0% | Meta Description should reflect the contents of a site. This site has a 0 % match | |
Number of internal links | 70% | Linking to internal pages makes pages easier to find for search engines. Try to keep the number of links on your page roughly below 100. There are 152 internal links on this page. | |
Folder structure | 100% | We found a folder structure in the links on your page. A good folder structure makes a site easier to navigate. We found 3 level 1 folders and 5 folders above or in the first level of navigation. | |
Headings | 44% | Headers should reflect the contents of a site. This site has a 19 % match | |
Links | 8% | Link anchors should to some degree reflect the contents of a site. This site has a 4 % match | |
Image alt tags | 39% | Image alt tags should to some degree reflect the contents of a site. This site has a 14 % match | |
Bold and italic | 51% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 17 % match | |
Html ratio | 30% | Try to keep the html / text ratio as low as possible. More html means longer loading times. Layout should be handled in a serpate css file | |
Image descriptions | 96% | 96.363636363636 % of all images have been described via the "alt" attribute. Describing images with relevant text may lead to better results in the search engines. | |
Page errors | 100% | Pages with no errors display significantly faster on most browsers. We detected 0 errors and warnings | |
WordCount | 20% | An ideal page contains between 400 and 600 words.This page contains 4030 words | |
Server response time | 100% | A fast server speeds up a website. This server responds 86.06% faster then average | |
Gzip compression | 30% | This site does not use Gzip compression. Pages may not display as fast as they could | |
Keywords in Domainname | 30% | There are no important keywords in your domain name | |
Keywords in domain path | 100% | There are important keywords in the domain path | |
Structured Data | 100% | Structured data makes it easier for search engines to index your website | |
Inline css | 0% | Do not use inline css declarations. Inline css will slow down the rendering of the website. We detected 335 inline style declarations ( <a style="color:green">) with a size of 11432 bytes | |
Excessive use of the same words | 100% | There is no indication that there are one or more keywords that are used excessively. | |
Frames or iframes | 100% | Perfect, detected not (i)frames on your webpagina | |
Flash | 100% | Perfect, we detected no flash objects on your page | |
Css | 30% | We detected too much (3) CSS files on your page. Css files block the loading of a webpage. | |
Javascript | 100% | Perfect, we did not detect too many blocking JavaScript files | |
Mobile Website | 100% | Perfect, we found a responsive design for mobile users | |
Most important heading | 100% | Perfect, we detected a correct use of the most important (h1) heading! | |
Normalized headings | 100% | Perfect, we found a correct use of normalized headings ! |
How would you like to have SEO advice for all your pages ?? Start your SEO Dashboard and optimize your website!
de.wikipedia.org images and descriptions
111 images found at de.wikipedia.org Images can improve the user experience for a website by making a pag visually appealing Images can also add extra keyword relevance to a webpage by using alt tags. Images can also slow down a website. If the width and height for a picture is not specified for a browser know in advance how large the image is. A browser must first load the picture and see before it knows how much space should be on the page. Upon reservation In the meantime, the browser can do little but wait. When the height and width for the plate are given in the HTML code, a browser just continues to build for a page while the images load in the background.
https://upload.wikimedia.org/wikipedia/commons/thumb/3/31/confidence_intervall_normal_dist.svg/220px-confidence_intervall_normal_dist.svg.png height: 440 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/deb3b36006b8d50995632bdf1b43eafecb20e98a height: height attribute not set width: width attribute not set description: {\displaystyle \gamma \in (0,1)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/dd7e965ed63e6bd2f3262b3d8af54c917714ce92 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma \cdot 100\,\%} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d00eaf197c35bbfa391b9477490a4af955416837 height: height attribute not set width: width attribute not set description: {\displaystyle \vartheta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a223c880b0ce3da8f64ee33c4f0010beee400b1a height: height attribute not set width: width attribute not set description: {\displaystyle \gamma } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9d9ae35684a06581c337a483228e1121784289f9 height: height attribute not set width: width attribute not set description: {\displaystyle x_{1:n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d239fb37ac3942945aca38436c56c0ee471fc70b height: height attribute not set width: width attribute not set description: {\displaystyle t_{u}=h_{u}(x_{1:n})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/62ef8b22afe49bb22102e19950b11b2450519578 height: height attribute not set width: width attribute not set description: {\displaystyle t_{v}=h_{v}(x_{1:n})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6518f41ace29505ec43b6748b5097040113e5649 height: height attribute not set width: width attribute not set description: {\displaystyle p\left(t_{u}\leq \vartheta \leq t_{v}\right)=\gamma \quad \mathrm {f{\ddot {u}}r\;alle\;} \vartheta \in \theta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d95c1e187c979bc178af90532aa46b926482239e height: height attribute not set width: width attribute not set description: {\displaystyle t_{u}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d5c58b2949b23631e03f4bdc53783c39a75102a0 height: height attribute not set width: width attribute not set description: {\displaystyle t_{v}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/453d0781ebdc6886831dc87974ffa5285db7f752 height: height attribute not set width: width attribute not set description: {\displaystyle t_{u} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6ad1bb41b9be2e9a7a48d6308b4cd6bd0e1a4243 height: height attribute not set width: width attribute not set description: {\displaystyle t_{u}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f7e1141d0e210f4f94e1379a85dd4cb19c7f81f7 height: height attribute not set width: width attribute not set description: {\displaystyle t_{v}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3d416c138a33e1608518933df283067ef8f9924b height: height attribute not set width: width attribute not set description: {\displaystyle [t_{u},t_{v}]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/46c30a97d74435dfd8aba002f71a5ad5f4b6e80a height: height attribute not set width: width attribute not set description: {\displaystyle \gamma =1-\alpha } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9afa7876fb8b4fb8c4d8039ebed6cd1cbc4781cd height: height attribute not set width: width attribute not set description: {\displaystyle 1-\alpha } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f1ae90024d15ae506858bf3720aedc1baf480fbe height: height attribute not set width: width attribute not set description: {\displaystyle (x,{\mathcal {a}},(p_{\vartheta })_{\vartheta \in \theta })} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4844a2ca1839b02a444a9a50598f3ef948e7939f height: height attribute not set width: width attribute not set description: {\displaystyle g\colon \theta \to \gamma } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4cfde86a3f7ec967af9955d0988592f0693d2b19 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3d2977b962be9cbca9bfb7d8e4a4f650809a352c height: height attribute not set width: width attribute not set description: {\displaystyle \gamma \subset \mathbb {r} ^{n}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/72d7cf9d09753d9ca6518c390253fc788720e16f height: height attribute not set width: width attribute not set description: {\displaystyle c\colon x\to {\mathcal {p}}(\gamma )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d4dfac36fd2ffa28cf37de8b15068ce0079b4aca height: height attribute not set width: width attribute not set description: {\displaystyle \gamma \in \gamma } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/164933263620b9b569d5981d7070a8a2c1cd152a height: height attribute not set width: width attribute not set description: {\displaystyle a(\gamma ):=\{x\in x\mid \gamma \in c(x)\}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/280ae03440942ab348c2ca9b8db6b56ffa9618f8 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {a}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3e580967f68f36743e894aa7944f032dda6ea01d height: height attribute not set width: width attribute not set description: {\displaystyle x\in x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/553bf6b101cae154a30a1002424d933b9b5ec070 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {p}}(\gamma )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e3cdf88e18a90482bec438c31b4cc8329c7c165a height: height attribute not set width: width attribute not set description: {\displaystyle a(\gamma )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ce7e1c7fccfdfbae58417c73b5f3ac419701ac69 height: height attribute not set width: width attribute not set description: {\displaystyle \gamma \subset \mathbb {r} } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7f6b53682fddbe3028ffd75bd75771b86c6c7bd9 height: height attribute not set width: width attribute not set description: {\displaystyle c(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4fc55753007cd3c18576f7933f6f089196732029 height: height attribute not set width: width attribute not set description: {\displaystyle c} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b76cb2b4a68c4fa2c546cd551e822dbb3fe98d0a height: height attribute not set width: width attribute not set description: {\displaystyle c_{1}(x)=(-\infty ,b^{+}(x)],\;c_{2}(x)=[b^{-}(x),b^{+}(x)]\;\;{\text{oder}}\;\;c_{3}(x)=[b^{-}(x),+\infty )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ff3a428977947f383f9ef2093c3c585a87f9d88c height: height attribute not set width: width attribute not set description: {\displaystyle b^{+}(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f1e925a507069ccbb4d6809ee470c5d56d2283ec height: height attribute not set width: width attribute not set description: {\displaystyle b^{-}(x)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a1bb7a07a3ce7807c641c252be8dbfa04b88225a height: height attribute not set width: width attribute not set description: {\displaystyle p_{\vartheta }(\{x\in x\mid g(\vartheta )\in c(x)\})\geq 1-\alpha \quad \mathrm {f{\ddot {u}}r\;alle\;} \vartheta \in \theta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b79333175c8b3f0840bfb4ec41b8072c83ea88d3 height: height attribute not set width: width attribute not set description: {\displaystyle \alpha } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/874c2f44b9ab05968b6e597c238cc6c8d6567237 height: height attribute not set width: width attribute not set description: {\displaystyle p_{\vartheta }(g(\vartheta )\leq b^{+}(x))\geq 1-\alpha } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8dc6ee25498544db306c71a3aecf5b6cc09ce951 height: height attribute not set width: width attribute not set description: {\displaystyle p_{\vartheta }(b^{-}(x)\leq g(\vartheta )\leq b^{+}(x))\geq 1-\alpha } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e82de08702db4bf9904ac8f3db91f9976cdce2ba height: height attribute not set width: width attribute not set description: {\displaystyle p_{\vartheta }(b^{-}(x)\leq g(\vartheta ))\geq 1-\alpha \quad \mathrm {f{\ddot {u}}r\;alle\;} \vartheta \in \theta .} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/6e5ab2664b422d53eb0c7df3b87e1360d75ad9af height: height attribute not set width: width attribute not set description: {\displaystyle \theta } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ebc6af8add07ab5c0be6a6b10f190bd45e9a664f height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {\theta }}_{ml}\pm 1{,}96{\frac {1}{\sqrt {-{\frac {\partial ^{2}}{\partial \theta ^{2}}}\ell ({\hat {\theta }}_{ml})}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f6723082a7da848afff9cec80936ed2bd8674aff height: height attribute not set width: width attribute not set description: {\displaystyle \ell (\cdot )=\log {\mathcal {l}}(\cdot )} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/def2ada30d9ed5115a5a8c73c235cc8d1e49c694 height: height attribute not set width: width attribute not set description: {\displaystyle -{\frac {\partial ^{2}}{\partial \theta ^{2}}}\ell ({\hat {\theta }}_{ml})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c594094623528454828b168f9c4ddeee6e78a92b height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {\theta }}_{ml}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1af90b15b76f9a83d117319abe797448d6a3a1a9 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {1}{\sqrt {-{\frac {\partial ^{2}}{\partial \theta ^{2}}}\ell ({\hat {\theta }}_{ml})}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/51ba2f80fa0d333d36bcd59d9a1508806b122cf4 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {e} \left(-{\frac {\partial ^{2}}{\partial \theta ^{2}}}\ell ({\hat {\theta }}_{ml})\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5c4fb9e9126f7a1797f50c039f7b6c6475a4b83e height: height attribute not set width: width attribute not set description: {\displaystyle -{\frac {\partial ^{2}}{\partial \mu ^{2}}}\ell ({\hat {\mu }},{\hat {\sigma }})=-\left({\frac {\partial ^{2}}{\partial \mu ^{2}}}\sum _{i=1}^{n}{\frac {-(x_{i}-\mu )^{2}}{2\sigma ^{2}}}\right)_{(\mu ={\hat {\mu }},\sigma ={\hat {\sigma }})}=\sum _{i=1}^{n}{\frac {1}{{\hat {\sigma }}^{2}}}={\frac {n}{{\hat {\sigma }}^{2}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/7cd0fa1d8e2b13c1e1588e4088841950eb530163 height: height attribute not set width: width attribute not set description: {\displaystyle {\frac {1}{\sqrt {-{\frac {\partial ^{2}}{\partial \theta ^{2}}}\ell ({\hat {\theta }}_{ml})}}}={\frac {1}{\sqrt {\frac {n}{{\hat {\sigma }}^{2}}}}}={\frac {\hat {\sigma }}{\sqrt {n}}},} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a601995d55609f2d9f5e233e36fbe9ea26011b3b height: height attribute not set width: width attribute not set description: {\displaystyle n} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9fd47b2a39f7a7856952afec1f1db72c67af6161 height: height attribute not set width: width attribute not set description: {\displaystyle \mu } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/53a5c55e536acf250c1d3e0f754be5692b843ef5 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma ^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/08fd87d3502c4f9e1b02ac74644474258aeea176 height: height attribute not set width: width attribute not set description: {\displaystyle {\overline {x}}} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/f/fb/normal.png/370px-normal.png height: 238 width: 370 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4bba8c8160cf89fc97efe65f1c8c47126eded5c1 height: height attribute not set width: width attribute not set description: {\displaystyle {\overline {x}}={\frac {1}{n}}\sum _{i=1}^{n}x_{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ff7cb2eb143fab77d5df2d154efa0e6a7f9c2772 height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {\mu }}={\overline {x}}={\frac {1}{n}}\sum _{i=1}^{n}x_{i}\,,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/af4a0955af42beb5f85aa05fb8c07abedc13990d height: height attribute not set width: width attribute not set description: {\displaystyle x_{i}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/26c603ac8d1c461630c96353e4471d63ba6dcd52 height: height attribute not set width: width attribute not set description: {\displaystyle (i=1,\dotsc ,n)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/be7200401b32cdbb266fb77b0616e03dd25e09b3 height: height attribute not set width: width attribute not set description: {\displaystyle \operatorname {var} ({\overline {x}})={\frac {\sigma ^{2}}{n}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e51aa1f505390f6f5ebfa622c70f313702b54253 height: height attribute not set width: width attribute not set description: {\displaystyle {\overline {x}}\sim {\mathcal {n}}\left(\mu ,{\frac {\sigma ^{2}}{n}}\right)\,} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b7509d4aaab710765414dadec086d6de692974b8 height: height attribute not set width: width attribute not set description: {\displaystyle [{\overline {x}}_{u};{\overline {x}}_{o}]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1239cd60eb8a824ef41f7787607b9c187fdaa66f height: height attribute not set width: width attribute not set description: {\displaystyle p({\overline {x}}_{u}\leq {\overline {x}}\leq {\overline {x}}_{o})=1-\alpha } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a3eeb356405c0b33b680b5caa425ada4e9f53e8b height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {n}}(0,1)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5d965db37b73e6c04d862bf367234034776600ad height: height attribute not set width: width attribute not set description: {\displaystyle z={\frac {{\overline {x}}-\mu }{\sigma /{\sqrt {n}}}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/119877c7f8ef320c6115c1e73a4f63757a0563c8 height: height attribute not set width: width attribute not set description: {\displaystyle p\left({-z_{\left(1-{\tfrac {\alpha }{2}}\right)}\leq {\frac {{\overline {x}}-\mu }{\sigma /{\sqrt {n}}}}\leq z_{\left(1-{\tfrac {\alpha }{2}}\right)}}\right)=1-\alpha } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ea3e6ce262ced260fde98d177b4aaa16fd41bf20 height: height attribute not set width: width attribute not set description: {\displaystyle \textstyle z_{\left(1-{\frac {\alpha }{2}}\right)}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e24e482cebe8014e68fd6f4bfe0f5152fb362bdb height: height attribute not set width: width attribute not set description: {\displaystyle (1-{\tfrac {\alpha }{2}})} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1c3477603177be4e1aeec5a095e4427ed8882e3f height: height attribute not set width: width attribute not set description: {\displaystyle p\left({{\overline {x}}-z_{\left(1-{\tfrac {\alpha }{2}}\right)}{\frac {\sigma }{\sqrt {n}}}\leq \mu \leq {\overline {x}}+z_{\left(1-{\tfrac {\alpha }{2}}\right)}{\frac {\sigma }{\sqrt {n}}}}\right)=1-\alpha } |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1dcc25f05dca60e358d4d22e8342fad5ad7affbb height: height attribute not set width: width attribute not set description: {\displaystyle (1-\alpha )} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/0/0a/konfidenz.png/300px-konfidenz.png height: 167 width: 300 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9fa4039bbc2a0048c3a3c02e5fd24390cab0dc97 height: height attribute not set width: width attribute not set description: {\displaystyle {\overline {x}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd6160d7990ff8fd07496d154ce8ab54de8dd68 height: height attribute not set width: width attribute not set description: {\displaystyle ki_{1-\alpha }(\mu )=\left[{{\overline {x}}-z_{\left(1-{\tfrac {\alpha }{2}}\right)}{\frac {\sigma }{\sqrt {n}}};\ {\overline {x}}+z_{\left(1-{\tfrac {\alpha }{2}}\right)}{\frac {\sigma }{\sqrt {n}}}}\right].} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8eeddd02066121fa48627d6b8da9a55ff0e7cd5f height: height attribute not set width: width attribute not set description: {\displaystyle \left[{{\overline {x}}-z_{\left(1-{\tfrac {\alpha }{2}}\right)}{\frac {\sigma }{\sqrt {n}}};\ {\overline {x}}+z_{\left(1-{\tfrac {\alpha }{2}}\right)}{\frac {\sigma }{\sqrt {n}}}}\right].} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/cd253103f0876afc68ebead27a5aa9867d927467 height: height attribute not set width: width attribute not set description: {\displaystyle e} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/33a5e94a9b07d3efe17c3aea55a44cc3341944be height: height attribute not set width: width attribute not set description: {\displaystyle e=z_{\left(1-{\frac {\alpha }{2}}\right)}{\frac {\sigma }{\sqrt {n}}}\,.} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/477c9fca64dba475d3335b33f216cb70fa27b670 height: height attribute not set width: width attribute not set description: {\displaystyle 2e} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/59f59b7c3e6fdb1d0365a494b81fb9a696138c36 height: height attribute not set width: width attribute not set description: {\displaystyle \sigma } |
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https://upload.wikimedia.org/wikipedia/commons/thumb/3/3b/pseudoreplication_correlation.webp/220px-pseudoreplication_correlation.webp.png height: 220 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/1e6f35d2eda39cfe8dc6e471ad0441ad884f332c height: height attribute not set width: width attribute not set description: {\displaystyle \textstyle z_{(1-{\tfrac {\alpha }{2}})}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/873332b163757e21463cc1fa0994b6a9dc98dc60 height: height attribute not set width: width attribute not set description: {\displaystyle (1-\alpha /2)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/98efd1b2f71353443286eecd13cac36d8bfe3494 height: height attribute not set width: width attribute not set description: {\displaystyle \left[{{\overline {x}}-z_{(1-{\tfrac {\alpha }{2}})}{\frac {\sigma }{\sqrt {n}}}\ ;\ {\overline {x}}+z_{(1-{\tfrac {\alpha }{2}})}{\frac {\sigma }{\sqrt {n}}}}\right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2666eee3575832e52ec2f666b6ed3f05a9ef6736 height: height attribute not set width: width attribute not set description: {\displaystyle s^{2}={\tfrac {1}{n-1}}\sum (x_{i}-{\overline {x}})^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/8947ffe42174fa0ecc930fbdfb46a685b1102907 height: height attribute not set width: width attribute not set description: {\displaystyle \textstyle t_{(1-{\tfrac {\alpha }{2}};n-1)}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/df88c6333caaf6471cf277f24b802ff9931b133e height: height attribute not set width: width attribute not set description: {\displaystyle (n-1)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/e6b6e47ae8dd88aecab05eb9385ea0bf00249387 height: height attribute not set width: width attribute not set description: {\displaystyle n>30} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f1171bb04b6a241e1353155b48e2122632e31ed0 height: height attribute not set width: width attribute not set description: {\displaystyle \left[{{\overline {x}}-t_{(1-{\tfrac {\alpha }{2}};n-1)}{\frac {s}{\sqrt {n}}}\ ;\ {\overline {x}}+t_{(1-{\tfrac {\alpha }{2}};n-1)}{\frac {s}{\sqrt {n}}}}\right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/f5aeeac9408208e8202d2a89c53777d6394f6e72 height: height attribute not set width: width attribute not set description: {\displaystyle \left[{{\overline {x}}-z_{(1-{\tfrac {\alpha }{2}})}{\frac {s}{\sqrt {n}}}\ ;\ {\overline {x}}+z_{(1-{\tfrac {\alpha }{2}})}{\frac {s}{\sqrt {n}}}}\right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/bac1e5c5338137ec45d771a0581a56516b97a77b height: height attribute not set width: width attribute not set description: {\displaystyle {\mathcal {\chi }}_{(p;k)}^{2}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c9a2c7b599b37105512c5d570edc034056dd40 height: height attribute not set width: width attribute not set description: {\displaystyle k} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/06f208f7744f14e1956347c60fc6c8e7fb32be40 height: height attribute not set width: width attribute not set description: {\displaystyle \left[\ s{\sqrt {\frac {n-1}{\chi _{(1-{\tfrac {\alpha }{2}};n-1)}^{2}}}};s{\sqrt {\frac {n-1}{\chi _{({\tfrac {\alpha }{2}};n-1)}^{2}}}}\ \right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3e8756475bae6ea7fbfff3a2cb0ed9752df70e19 height: height attribute not set width: width attribute not set description: {\displaystyle \vartheta =\vartheta _{0}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a2d2fe479bcd30fad9d68cc45a1760ff38de03c9 height: height attribute not set width: width attribute not set description: {\displaystyle \vartheta _{0}} |
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https://upload.wikimedia.org/wikipedia/commons/thumb/f/fb/normal.png/220px-normal.png height: 142 width: 220 description: no alt description found |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/10867c8d827894e338c2e874c4d85f9ae48afe44 height: height attribute not set width: width attribute not set description: {\displaystyle \mu ={\overline {x}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/feaba9c5382fa850f65cf2f1ce18dae5eb0506d7 height: height attribute not set width: width attribute not set description: {\displaystyle |\mu -{\overline {x}}|} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4d611e80fcc3b1c9058b28861cb11562874868bf height: height attribute not set width: width attribute not set description: {\displaystyle {\hat {y}}=b_{0}+b_{1}\,x_{1}+b_{2}\,x_{2}+\ldots +b_{k}\,x_{k}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/9461ee3cd758773e8587aea6b44ad6f8a6d6d278 height: height attribute not set width: width attribute not set description: {\displaystyle \beta _{j}\ (j=1,\ldots ,k)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/5d72f8228af96bb0ac2fed6adfba13125a038d42 height: height attribute not set width: width attribute not set description: {\displaystyle x_{j}\ (j=1,\ldots ,k)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d height: height attribute not set width: width attribute not set description: {\displaystyle y} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3d7a947b24ecaec369dcf1c0cd35853358dfedb0 height: height attribute not set width: width attribute not set description: {\displaystyle \left(0\in ki_{1-\alpha }(\beta _{j})\right)} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/2aae8864a3c1fec9585261791a809ddec1489950 height: height attribute not set width: width attribute not set description: {\displaystyle 0} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/68baa052181f707c662844a465bfeeb135e82bab height: height attribute not set width: width attribute not set description: {\displaystyle x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4 height: height attribute not set width: width attribute not set description: {\displaystyle x} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3a6371bb74017ff2684f243888af8c1d05c8b439 height: height attribute not set width: width attribute not set description: {\displaystyle \left[{{\overline {x}}-t_{\left(1-{\frac {\alpha }{2}};n-1\right)}{\frac {s}{\sqrt {n}}}\ ;\ {\overline {x}}+t_{\left(1-{\frac {\alpha }{2}};n-1\right)}{\frac {s}{\sqrt {n}}}}\right]} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/d5246a853d2891db14b7c974896de20866d9efc6 height: height attribute not set width: width attribute not set description: {\displaystyle {\overline {x}}={\frac {1}{16}}\cdot (110+112+\dotsb +104)={\frac {1}{16}}\cdot 1632=102} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/3708d1eb01807f0c20799adf6842152ccac9ec53 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}s^{2}&={\frac {1}{n-1}}\sum _{i=1}^{n}(x_{i}-{\overline {x}})^{2}\\&={\frac {1}{15}}\left((110-102)^{2}+(112-102)^{2}+\dotsb +(104-102)^{2}\right)\\&={\frac {1}{15}}\cdot 1856=123{,}73\end{aligned}}} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a7ae7b20a070a9da190ec64d452b838d0c3185ee height: height attribute not set width: width attribute not set description: {\displaystyle t_{\left(1-{\frac {\alpha }{2}};n-1\right)}=t_{\left(0{,}975;15\right)}=2{,}131} |
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https://wikimedia.org/api/rest_v1/media/math/render/svg/a57caf9b5979a59167ab67159474d9607c5157f2 height: height attribute not set width: width attribute not set description: {\displaystyle \left[{102-2{,}131{\frac {\sqrt {123{,}73}}{\sqrt {16}}};102+2{,}131{\frac {\sqrt {123{,}73}}{\sqrt {16}}}}\right]=[102-5{,}93;102+5{,}93]=[96{,}07;107{,}93]} |
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https://login.wikimedia.org/wiki/special:centralautologin/start?type=1x1 height: 1 width: 1 description: no alt description found |
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http://de.wikipedia.org/static/images/footer/wikimedia-button.png height: 31 width: 88 description: wikimedia foundation |
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