nayelialvarez8088 nayelialvarez8088
  • 13-01-2020
  • Mathematics
contestada

Let X be the sample median of uniform random variables. Find a good numerical approximation for the 75th percentile of the distribution of X.

Respuesta :

jolis1796
jolis1796 jolis1796
  • 15-01-2020

Answer:

P₇₅ = (3/2) X

Step-by-step explanation:

Given

The median m = P₅₀ = X

P₇₅ = ?

Knowing that

P₅₀ = X = n*50/100

where n is the number of data points

If

X = n*50/100    ⇒   n = 2X

then we apply the formula

P₇₅ = n*75/100

⇒  P₇₅ = (2X)*75/100

⇒  P₇₅ = (3/2) X

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