Percentil nº $$$99$$$ de $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$
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Sua entrada
Encontre o percentil não. $$$99$$$ de $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$.
Solução
O percentil n. $$$p$$$ é um valor tal que pelo menos $$$p$$$ por cento das observações é menor ou igual a este valor e pelo menos $$$100 - p$$$ por cento das observações é maior ou igual a este valor.
O primeiro passo é classificar os valores.
Os valores classificados são $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$1$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$, $$$400$$$.
Como existem $$$200$$$ valores, então $$$n = 200$$$.
Agora, calcule o índice: $$$i = \frac{p}{100} n = \frac{99}{100} \cdot 200 = 198$$$.
Como o índice $$$i$$$ é um número inteiro, o percentil no. $$$99$$$ é a média dos valores nas posições $$$i$$$ e $$$i + 1$$$.
O valor na posição $$$i = 198$$$ é $$$400$$$ ; o valor na posição $$$i + 1 = 199$$$ é $$$400$$$.
A média deles é o percentil: $$$\frac{400 + 400}{2} = 400$$$.
Responder
O percentil n. $$$99$$$A é $$$400$$$A.