Estatística Básica Utilizando o Excel

Estatstica Bsica Utilizando o ExcelFernando Augusto Silva Marins

2a. Aula - Estatstica Descritiva(descrio grfica das variveis)

TpicosOrganizao de Dados NumricosA Disposio Ordenada e a Disposio Ramo-e-Folha (Stem-leaf Display)Tabulao e Grficos com Dados NumricosDistribuies de Freqncia: tabelas, Histogramas, Polgonos de Freqncia

Distribuies Acumuladas: tabelas e a Ogiva

Tpicos

Tabulao e Grficos com Dados QualitativosA Tabela Resumida

Grficos de Barras, em Pizza e o Diagrama de Pareto

Apresentao de Tabelas e Grficos: erros comuns(continuao)

Organizao de Dados NumricosDados NumricosDisposio OrdenadaStem and LeafDisplayDistribuies de FreqnciaDistribuies AcumuladasHistogramasPolgonosOgivaTabelas2 1446773 0284 141, 24, 32, 26, 27, 27, 30, 24, 38, 2121, 24, 24, 26, 27, 27, 30, 32, 38, 41

Organizao de Dados NumricosDados na forma bruta (como coletados): Dados ordenados do menor para o maior:

Stem-and-leaf display :

(continuao)2 1446773 0284 124, 26, 24, 21, 27, 27, 30, 41, 32, 3821, 24, 24, 26, 27, 27, 30, 32, 38, 41

Tabulao e Grficos com Dados NumricosDados NumricosDisposio OrdenadaStem and LeafDisplayHistogramasOgivaTabelas41, 24, 32, 26, 27, 27, 30, 24, 38, 2121, 24, 24, 26, 27, 27, 30, 32, 38, 41Distribuio de FreqnciasDistribuies AcumuladasPolgonos

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BinFrequencyCumulative %BinFrequencyCumulative %

50.00%35630.00%

15210.00%45555.00%

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35660.00%15285.00%

45585.00%55295.00%

55295.00%651100.00%

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50.00%35630.00%

15210.00%45555.00%

25430.00%25475.00%

35660.00%15285.00%

45585.00%55295.00%

55295.00%651100.00%

651100.00%50100.00%

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Tabulao de Dados Numricos: Distribuio de FreqnciasOrdenar Dados Brutos em ordem crescente: Calcular Amplitude: Selecionar nmero de classes:Calcular largura da classe: Determinar limites das classes: Calcular pontos mdios das classes: Contar observaes & associar s classes12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 5858 - 12 = 46510 (arredondar 46/5= 9,2)10, 20, 30, 40, 50, 6015, 25, 35, 45, 55

Distribuio de FreqnciasComo selecionar nmero de classes?

Controvrsias tericasUsar bom-senso e experincia1o. Mtodo: n < 25: 5 ou 6; 25

Distribuio de Freqncias, de Freqncias Relativas e Distribuio de Percentagem

Classe Freq.De at 10 abaixo de 20 3 .15 15 20 abaixo de 30 6 .30 30 30 abaixo de 40 5 .25 25 40 abaixo de 50 4 .20 20 50 abaixo de 60 2 .10 10 Total 20 1 100Freq.Relativa PercentagemDados ordenados:12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58

Grficos de Dados Numricos: HistogramaDados ordenados:12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58Sem espao entre barrasPontos mdios das classesLimites de classes

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BinFrequencyCumulative %BinFrequencyCumulative %

50.00%35630.00%

15210.00%45555.00%

25430.00%25475.00%

35660.00%15285.00%

45585.00%55295.00%

55295.00%651100.00%

651100.00%50100.00%

More0100.00%More0100.00%

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29.9

319.9

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Grficos de Dados Numricos: Polgono de FreqnciasPontos mdios das classesDados ordenados:12, 13, 17, 21, 24, 24, 26, 27, 27, 30, 32, 35, 37, 38, 41, 43, 44, 46, 53, 58

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