a through e UOTTCl aiive Slanding 3.74 True/False All quartiles are percentiles.

Question

a through e

UOTTCl aiive Slanding 3.74 True/False All quartiles are percentiles. 2 C. n= Practice e. n= 3.75 For each data set with T and s given, find a symmetric interval k standard deviations about the mean, and use Chebyshev's rule to compute the approximate proportion of observations within this interval. Appli a. 50, 45, b·x=352, s= 10.5, k=3 c.x=17, s= 3.5, k= 1.6 d. x 36.5, s 10.45, k 1.75 e,x=158, s= 25, f, x=-55, s= 0.125, k=2.8 g·x= 1.7, s= 25.8, k=2.25 k=2 drop sam with k = 2.5 tituution ofench data set is approximately

Explanation / Answer

as we know from Chebychev;s equality ; proportion =(1-1/k2)

and interval =sample mean -/+k*std deviaiton

hence :

a) interval =50-/+ 2*5 =40 ; 60

proportion =(1-1/22)=0.75

b)interval = 320.5 ;383.5

proportion =(1-1/32)=0.8889

c))interval = 11.4 ; 22.6

proportion =0.6094

d)interval =18.21 ;54.79

proportion =0.6735

e)interval =95.5 ;220.5

proportion =0.84

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