jmixalott2 jmixalott2
  • 19-07-2021
  • Mathematics
contestada

If u= 70% and o=5%, what % of scores fall within 3 standard deviations from the mean?

Respuesta :

Cricetus
Cricetus Cricetus
  • 24-07-2021

Answer:

"85%" is the right answer.

Step-by-step explanation:

Given:

[tex]\mu = 70[/tex] (%)

[tex]\sigma = 5[/tex] (%)

As we know,

The 99.7% observation fall within the 3rd standard deviation, then

⇒ [tex](\mu \pm \sigma ) = (70-(3\times 5)) \ to \ (70+(3\times 5))[/tex]

                [tex]=(70-15) \ to \ (70+15)[/tex]

                [tex]=55 \ to \ 85[/tex] (%)

Thus the above is the correct solution.  

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