darcyads6286 darcyads6286
  • 04-02-2018
  • Mathematics
contestada

Consider these five values a population: 8, 3, 7, 3, and 4.a.determine the mean of the population.b.determine the variance

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CastleRook
CastleRook CastleRook
  • 13-02-2018
mean of the sample 8,3,7,3,4 is given by:
[tex] \mu=\frac{ \Sigma x_i}{n} [/tex]
summation of x is:
[tex] \Sigma x_i=8+3+7+3+4=25
n=5 [/tex]
hence
[tex] \mu= \frac{25}{5}=5[/tex]

The variance will be 
[tex] \sigma^2= \frac{\Sigma(x- \mu)^2}{n} [/tex]
[tex]\Sigma(x_i- \mu)^2= 22[/tex]
[tex] \sigma^2= \frac{22}{5}=4.4 [/tex]

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