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Google Keyword Rankings for : alternative formula for sample variance
1
https://www.probabilisticworld.com/alternative-variance-formulas-derivation/
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https://www.probabilisticworld.com/alternative-variance-formulas-derivation/
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2
https://rinterested.github.io/statistics/variance_alternate.html
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https://rinterested.github.io/statistics/variance_alternate.html
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3
https://stats.stackexchange.com/questions/350836/alternate-definition-of-sample-variance
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https://stats.stackexchange.com/questions/350836/alternate-definition-of-sample-variance
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4
https://www.statisticshowto.com/probability-and-statistics/descriptive-statistics/sample-variance/
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https://www.statisticshowto.com/probability-and-statistics/descriptive-statistics/sample-variance/
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5
https://www.ncl.ac.uk/webtemplate/ask-assets/external/maths-resources/statistics/descriptive-statistics/variance-and-standard-deviation.html
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https://www.ncl.ac.uk/webtemplate/ask-assets/external/maths-resources/statistics/descriptive-statistics/variance-and-standard-deviation.html
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6
https://www.wikihow.com/Calculate-Variance
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https://www.wikihow.com/Calculate-Variance
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7
https://www.randomservices.org/random/sample/Variance.html
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https://www.randomservices.org/random/sample/Variance.html
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8
https://en.wikipedia.org/wiki/Algorithms_for_calculating_variance
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https://en.wikipedia.org/wiki/Algorithms_for_calculating_variance
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9
https://web.ma.utexas.edu/users/mks/M358KInstr/SampleSDPf.pdf
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https://web.ma.utexas.edu/users/mks/M358KInstr/SampleSDPf.pdf
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10
https://www.onlinemathlearning.com/variance.html
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https://www.onlinemathlearning.com/variance.html
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11
https://www.quora.com/When-do-we-have-to-use-this-different-variance-formula-in-different-situations-statistics-We-have-two-formulas-for-variance
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https://www.quora.com/When-do-we-have-to-use-this-different-variance-formula-in-different-situations-statistics-We-have-two-formulas-for-variance
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12
https://byjus.com/variance-formula/
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https://byjus.com/variance-formula/
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13
https://www.chegg.com/homework-help/questions-and-answers/used-ss-x-calculating-variance-standard-deviation-alternative-formula-standard-deviation-s-q56478284
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14
https://support.minitab.com/en-us/minitab/20/help-and-how-to/statistics/basic-statistics/how-to/1-variance/methods-and-formulas/methods-and-formulas/
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https://support.minitab.com/en-us/minitab/20/help-and-how-to/statistics/basic-statistics/how-to/1-variance/methods-and-formulas/methods-and-formulas/
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15
https://wikimedia.org/api/rest_v1/media/math/render/svg/4ad35c4161b9cf52868e879d457d8d796094ff02
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https://wikimedia.org/api/rest_v1/media/math/render/svg/4ad35c4161b9cf52868e879d457d8d796094ff02
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16
https://www.omnicalculator.com/statistics/variance
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https://www.omnicalculator.com/statistics/variance
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17
https://www.numerade.com/ask/question/question-1-_-alternative-formula-for-the-sample-variance-we-have-seen-that-the-sample-variance-formula-is-using-properties-of-summations-show-that-the-sample-variance-can-also-be-written-asz-88516/
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https://www.numerade.com/ask/question/question-1-_-alternative-formula-for-the-sample-variance-we-have-seen-that-the-sample-variance-formula-is-using-properties-of-summations-show-that-the-sample-variance-can-also-be-written-asz-88516/
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18
https://people.richland.edu/james/lecture/m170/ch03-var.html
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https://people.richland.edu/james/lecture/m170/ch03-var.html
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19
https://www.scribbr.com/statistics/variance/
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https://www.scribbr.com/statistics/variance/
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20
https://forestecosyst.springeropen.com/articles/10.1186/s40663-021-00304-0
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https://forestecosyst.springeropen.com/articles/10.1186/s40663-021-00304-0
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21
http://people.hsc.edu/faculty-staff/robbk/Math121/TI-83/StdDevs.html
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http://people.hsc.edu/faculty-staff/robbk/Math121/TI-83/StdDevs.html
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22
https://www.itl.nist.gov/div898/handbook/eda/section3/eda358.htm
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https://www.itl.nist.gov/div898/handbook/eda/section3/eda358.htm
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23
https://www.sciencebuddies.org/science-fair-projects/science-fair/variance-and-standard-deviation
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https://www.sciencebuddies.org/science-fair-projects/science-fair/variance-and-standard-deviation
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24
https://faculty.chicagobooth.edu/jeffrey.russell/teaching/bstats/problems/ExpectedValue/q7.html
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25
https://www.calculatorsoup.com/calculators/statistics/variance-calculator.php
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https://www.calculatorsoup.com/calculators/statistics/variance-calculator.php
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26
http://strata.uga.edu/8370/lecturenotes/variance.html
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http://strata.uga.edu/8370/lecturenotes/variance.html
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27
https://online.stat.psu.edu/stat414/lesson/8/8.4
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https://online.stat.psu.edu/stat414/lesson/8/8.4
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28
https://brainly.com/question/23937534
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https://brainly.com/question/23937534
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29
https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/MATH_345__-_Probability_(Kuter)/3%3A_Discrete_Random_Variables/3.7%3A_Variance_of_Discrete_Random_Variables
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https://stats.libretexts.org/Courses/Saint_Mary's_College_Notre_Dame/MATH_345__-_Probability_(Kuter)/3%3A_Discrete_Random_Variables/3.7%3A_Variance_of_Discrete_Random_Variables
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30
https://www.cuemath.com/sample-variance-formula/
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https://www.cuemath.com/sample-variance-formula/
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31
https://www.statstutor.ac.uk/resources/uploaded/varstddev.pdf
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https://www.statstutor.ac.uk/resources/uploaded/varstddev.pdf
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32
https://www.statisticssolutions.com/dissertation-resources/common-statistical-formulas/
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https://www.statisticssolutions.com/dissertation-resources/common-statistical-formulas/
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33
https://www.jstor.org/stable/2336375
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https://www.jstor.org/stable/2336375
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34
https://www2.palomar.edu/users/rmorrissette/Lectures/Stats/Variability/Variability.htm
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https://www2.palomar.edu/users/rmorrissette/Lectures/Stats/Variability/Variability.htm
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35
https://influentialpoints.com/Training/variance_and_standard_deviation-principles-properties-assumptions.htm
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https://influentialpoints.com/Training/variance_and_standard_deviation-principles-properties-assumptions.htm
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36
https://homework.study.com/explanation/there-are-multiple-ways-to-refer-to-or-describe-a-variance-or-a-standard-deviation-of-either-a-population-or-a-sample-likewise-each-measure-has-multiple-appropriate-equations-or-symbols-the-left-ta.html
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https://homework.study.com/explanation/there-are-multiple-ways-to-refer-to-or-describe-a-variance-or-a-standard-deviation-of-either-a-population-or-a-sample-likewise-each-measure-has-multiple-appropriate-equations-or-symbols-the-left-ta.html
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37
https://sphweb.bumc.bu.edu/otlt/mph-modules/bs/bs704_hypothesistesting-anova/bs704_hypothesistesting-anova_print.html
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https://sphweb.bumc.bu.edu/otlt/mph-modules/bs/bs704_hypothesistesting-anova/bs704_hypothesistesting-anova_print.html
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38
https://www.real-statistics.com/descriptive-statistics/measures-variability/
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https://www.real-statistics.com/descriptive-statistics/measures-variability/
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39
https://towardsdatascience.com/making-inferences-about-a-single-population-variance-814a15b44857
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https://towardsdatascience.com/making-inferences-about-a-single-population-variance-814a15b44857
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40
https://academic.oup.com/beheco/article/17/4/688/215960
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https://academic.oup.com/beheco/article/17/4/688/215960
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41
https://www2.econ.iastate.edu/classes/econ671/hallam/documents/Basic_stat_000.pdf
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https://www2.econ.iastate.edu/classes/econ671/hallam/documents/Basic_stat_000.pdf
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42
http://www.ltcconline.net/greenl/courses/201/descstat/mean.htm
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http://www.ltcconline.net/greenl/courses/201/descstat/mean.htm
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43
https://miniwebtool.com/sample-variance-calculator/
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https://miniwebtool.com/sample-variance-calculator/
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44
https://www.r-bloggers.com/2019/08/estimating-variance-should-i-use-n-or-n-1-the-answer-is-not-what-you-think/
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https://www.r-bloggers.com/2019/08/estimating-variance-should-i-use-n-or-n-1-the-answer-is-not-what-you-think/
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45
http://vanbelle.org/chapters%5Cwebchapter2.pdf
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http://vanbelle.org/chapters%5Cwebchapter2.pdf
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46
https://www.andrews.edu/~calkins/math/edrm611/edrm11.htm
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https://www.andrews.edu/~calkins/math/edrm611/edrm11.htm
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47
http://www.sthda.com/english/wiki/f-test-compare-two-variances-in-r
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http://www.sthda.com/english/wiki/f-test-compare-two-variances-in-r
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48
https://www.jmp.com/en_us/statistics-knowledge-portal/t-test/two-sample-t-test.html
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https://www.jmp.com/en_us/statistics-knowledge-portal/t-test/two-sample-t-test.html
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49
https://alemorales.info/post/variance-estimators/
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https://alemorales.info/post/variance-estimators/
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50
https://courses.lumenlearning.com/introstats1/chapter/test-of-a-single-variance/
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https://courses.lumenlearning.com/introstats1/chapter/test-of-a-single-variance/
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51
https://math.berkeley.edu/~scanlon/m16bs04/ln/16b2lec30.pdf
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https://math.berkeley.edu/~scanlon/m16bs04/ln/16b2lec30.pdf
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52
https://select-statistics.co.uk/calculators/sample-size-calculator-population-mean/
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https://select-statistics.co.uk/calculators/sample-size-calculator-population-mean/
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53
https://www.statlect.com/glossary/adjusted-sample-variance
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https://www.statlect.com/glossary/adjusted-sample-variance
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54
http://www.mash.dept.shef.ac.uk/Resources/var_stand_deviat_group.pdf
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http://www.mash.dept.shef.ac.uk/Resources/var_stand_deviat_group.pdf
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55
https://www.bmj.com/about-bmj/resources-readers/publications/statistics-square-one/2-mean-and-standard-deviation
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https://www.bmj.com/about-bmj/resources-readers/publications/statistics-square-one/2-mean-and-standard-deviation
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56
https://www.easycalculation.com/statistics/sample-variance-calculator.php
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https://www.easycalculation.com/statistics/sample-variance-calculator.php
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57
https://www.statskingdom.com/210VarCHI1.html
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https://www.statskingdom.com/210VarCHI1.html
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58
https://www.colorado.edu/amath/sites/default/files/attached-files/lesson9_hyptests.pdf
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https://www.colorado.edu/amath/sites/default/files/attached-files/lesson9_hyptests.pdf
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59
https://psychology.illinoisstate.edu/jccutti/psych240/chpt4.html
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https://psychology.illinoisstate.edu/jccutti/psych240/chpt4.html
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60
https://www.socscistatistics.com/descriptive/variance/default2.aspx
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https://www.socscistatistics.com/descriptive/variance/default2.aspx
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61
https://www.fs.usda.gov/research/treesearch/62750
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https://www.fs.usda.gov/research/treesearch/62750
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62
https://med.und.edu/daccota/_files/pdfs/berdc_resource_pdfs/sample_size_r_module.pdf
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https://med.und.edu/daccota/_files/pdfs/berdc_resource_pdfs/sample_size_r_module.pdf
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63
https://www.wallstreetmojo.com/f-test-formula/
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https://www.wallstreetmojo.com/f-test-formula/
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64
https://www.stata.com/manuals/rsdtest.pdf
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https://www.stata.com/manuals/rsdtest.pdf
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65
https://web.williams.edu/Mathematics/sjmiller/public_html/BrownClasses/162/Handouts/StatsTests04.pdf
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https://web.williams.edu/Mathematics/sjmiller/public_html/BrownClasses/162/Handouts/StatsTests04.pdf
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66
https://amsi.org.au/ESA_Senior_Years/SeniorTopic4/4c/4c_2content_6.html
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67
https://web.ipac.caltech.edu/staff/fmasci/home/astro_refs/BetterThanMAD.pdf
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https://web.ipac.caltech.edu/staff/fmasci/home/astro_refs/BetterThanMAD.pdf
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68
https://thenextweb.com/news/guide-find-variance-using-python
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https://thenextweb.com/news/guide-find-variance-using-python
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69
https://www.biostat.wisc.edu/~kbroman/teaching/labstat/fourth/notes06.pdf
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https://www.biostat.wisc.edu/~kbroman/teaching/labstat/fourth/notes06.pdf
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70
http://www.alcula.com/calculators/statistics/variance/
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http://www.alcula.com/calculators/statistics/variance/
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71
http://math.clarku.edu/~djoyce/ma217/variance.pdf
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http://math.clarku.edu/~djoyce/ma217/variance.pdf
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72
https://web.pdx.edu/~newsomj/uvclass/ho_ANOVA.pdf
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https://web.pdx.edu/~newsomj/uvclass/ho_ANOVA.pdf
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73
https://www.investopedia.com/terms/z/z-test.asp
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https://www.investopedia.com/terms/z/z-test.asp
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74
https://www.stat.cmu.edu/~hseltman/309/Book/chapter12.pdf
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https://www.stat.cmu.edu/~hseltman/309/Book/chapter12.pdf
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75
https://www.sciencedirect.com/topics/mathematics/true-variance
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https://www.sciencedirect.com/topics/mathematics/true-variance
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76
https://us.sagepub.com/sites/default/files/upm-assets/6427_book_item_6427.pdf
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77
https://openstax.org/books/statistics/pages/11-6-test-of-a-single-variance
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https://openstax.org/books/statistics/pages/11-6-test-of-a-single-variance
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78
https://www.mathworks.com/help/stats/ttest2.html
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79
https://www.bartleby.com/questions-and-answers/there-are-multiple-ways-to-refer-to-or-describe-a-variance-or-a-standard-deviation-of-either-a-popul/83cb2f5e-f230-4074-9ae4-97cf6cc72053
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https://www.bartleby.com/questions-and-answers/there-are-multiple-ways-to-refer-to-or-describe-a-variance-or-a-standard-deviation-of-either-a-popul/83cb2f5e-f230-4074-9ae4-97cf6cc72053
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80
https://www.mathstat.dal.ca/~stat2080/Fall14/Lecturenotes/anova1.pdf
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https://www.mathstat.dal.ca/~stat2080/Fall14/Lecturenotes/anova1.pdf
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81
https://saestatsteaching.tech/section-varianceratio
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https://saestatsteaching.tech/section-varianceratio
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82
https://mathcracker.com/chi-square-test-for-one-variance
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https://mathcracker.com/chi-square-test-for-one-variance
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83
https://ecampusontario.pressbooks.pub/introstats/chapter/10-3-statistical-inference-for-a-single-population-variance/
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https://ecampusontario.pressbooks.pub/introstats/chapter/10-3-statistical-inference-for-a-single-population-variance/
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84
https://www2.math.upenn.edu/~ccroke/lecture6.1.pdf
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https://www2.math.upenn.edu/~ccroke/lecture6.1.pdf
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85
https://statisticsbyjim.com/basics/variability-range-interquartile-variance-standard-deviation/
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https://statisticsbyjim.com/basics/variability-range-interquartile-variance-standard-deviation/
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86
https://opentextbc.ca/introductorybusinessstatistics/chapter/f-test-and-one-way-anova-2/
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https://opentextbc.ca/introductorybusinessstatistics/chapter/f-test-and-one-way-anova-2/
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87
https://www.le.ac.uk/users/dsgp1/COURSES/LEISTATS/Lecture8.pdf
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https://www.le.ac.uk/users/dsgp1/COURSES/LEISTATS/Lecture8.pdf
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88
http://mathcenter.oxford.emory.edu/site/math117/anova/
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http://mathcenter.oxford.emory.edu/site/math117/anova/
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89
https://stat.ethz.ch/R-manual/R-devel/library/stats/html/var.test.html
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https://stat.ethz.ch/R-manual/R-devel/library/stats/html/var.test.html
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90
https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/var.test
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https://www.rdocumentation.org/packages/stats/versions/3.6.2/topics/var.test
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91
https://www.exceldemy.com/how-to-calculate-variance-percentage-in-excel/
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https://www.exceldemy.com/how-to-calculate-variance-percentage-in-excel/
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92
https://www.britannica.com/science/statistics/Estimation-of-a-population-mean
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https://www.britannica.com/science/statistics/Estimation-of-a-population-mean
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93
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