{"id":11139,"date":"2025-07-15T13:34:51","date_gmt":"2025-07-15T13:34:51","guid":{"rendered":"https:\/\/functiontranslator.com\/somarquad\/"},"modified":"2021-02-25T17:30:14","modified_gmt":"2021-02-25T17:30:14","slug":"sumsq","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pt-pt\/sumsq\/","title":{"rendered":"SOMARQUAD"},"content":{"rendered":"

A fun\u00e7\u00e3o SOMARQUAD<\/code> (em ingl\u00eas, SUMSQ<\/code>) \u00e9 extremamente \u00fatil no Microsoft Excel e no Google Sheets para calcular a soma dos quadrados dos valores especificados. Ela \u00e9 particularmente valiosa em contextos de estat\u00edstica e an\u00e1lise de dados ao facilitar c\u00e1lculos envolvendo vari\u00e2ncia e outros m\u00e9todos estat\u00edsticos.<\/p>\n

Sintaxe e Exemplos de Uso<\/h2>\n

A sintaxe para a fun\u00e7\u00e3o SOMARQUAD<\/code> \u00e9 a seguinte:<\/p>\n

=SOMARQUAD(n\u00famero1, [n\u00famero2], ...)<\/code><\/pre>\n
Os argumentos s\u00e3o:<\/p>\n
    \n
  • n\u00famero1, n\u00famero2, ...<\/code>: Representam os valores, ou refer\u00eancias a c\u00e9lulas contendo os valores, cujos quadrados ser\u00e3o somados. Pode-se incluir at\u00e9 255 argumentos na fun\u00e7\u00e3o.<\/li>\n<\/ul>\n
    Exemplo:<\/strong><\/p>\n
     Suponha a exist\u00eancia dos seguintes valores numa planilha: A1: 3 A2: 4 A3: 5 Para somar os quadrados destes n\u00fameros, voc\u00ea usaria a f\u00f3rmula: =SOMARQUAD(A1, A2, A3) O resultado seria 50, pois 3^2 + 4^2 + 5^2 = 9 + 16 + 25 = 50. <\/code><\/pre>\n
    Aplica\u00e7\u00f5es Pr\u00e1ticas<\/h2>\n
    Veja abaixo duas maneiras pr\u00e1ticas de empregar a fun\u00e7\u00e3o SOMARQUAD<\/code>.<\/p>\n
    Aplica\u00e7\u00e3o em Estat\u00edstica<\/h2>\n
    Problema:<\/strong> Voc\u00ea precisa calcular a soma dos quadrados dos desvios de uma s\u00e9rie de dados em rela\u00e7\u00e3o \u00e0 m\u00e9dia dos mesmos, um c\u00e1lculo fundamental para determinar a vari\u00e2ncia e o desvio padr\u00e3o.<\/p>\n
    Solu\u00e7\u00e3o:<\/strong> Imagine que os dados estejam na coluna A, de A1 a A5. Primeiro, calcule a m\u00e9dia dos dados com:<\/p>\n
    =M\u00c9DIA(A1:A5)<\/code><\/pre>\n
    Com a m\u00e9dia resultante armazenada em B1, calcule a soma dos quadrados dos desvios utilizando:<\/p>\n
    =SOMARQUAD(A1-B1, A2-B1, A3-B1, A4-B1, A5-B1)<\/code><\/pre>\n
    Este resultado \u00e9 essencial para prosseguir com an\u00e1lises estat\u00edsticas mais detalhadas.<\/p>\n
    Aplica\u00e7\u00e3o em Finan\u00e7as<\/h2>\n
    Problema:<\/strong> Voc\u00ea deseja analisar a volatilidade dos retornos de um investimento atrav\u00e9s da vari\u00e2ncia desses retornos.<\/p>\n
    Solu\u00e7\u00e3o:<\/strong> Se os retornos est\u00e3o listados de C1 a C10, calcule primeiro a m\u00e9dia desses retornos com:<\/p>\n
    =M\u00c9DIA(C1:C10)<\/code><\/pre>\n
    Com a m\u00e9dia armazenada em D1, utilize a fun\u00e7\u00e3o SOMARQUAD<\/code> para calcular a soma dos quadrados dos desvios em rela\u00e7\u00e3o \u00e0 m\u00e9dia:<\/p>\n
    =SOMARQUAD(C1-D1, C2-D1, ..., C10-D1)<\/code><\/pre>\n
    Essa informa\u00e7\u00e3o \u00e9 crucial para entender a dispers\u00e3o dos retornos do investimento e indicar o risco associado.<\/p>\n
    Em resumo, a fun\u00e7\u00e3o SOMARQUAD<\/code> vastamente potencializa an\u00e1lises num\u00e9ricas em planilhas eletr\u00f4nicas, sendo particularmente \u00fatil para o entendimento de varia\u00e7\u00f5es e distribui\u00e7\u00f5es em conjuntos de dados.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Devolve a soma dos quadrados dos argumentos<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[437],"tags":[],"class_list":["post-11139","post","type-post","status-publish","format-standard","hentry","category-matematica-e-trigonometria"],"acf":[],"yoast_head":"\nFun\u00e7\u00e3o SUMSQ (SOMARQUAD) no Excel \u2013 como funciona, exemplos e sintaxe<\/title>\n<meta name=\"description\" content=\"Breve descri\u00e7\u00e3o da fun\u00e7\u00e3o SUMSQ (SOMARQUAD) do Excel. 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