jamilandtitanic
jamilandtitanic jamilandtitanic
  • 10-09-2019
  • Mathematics
contestada

17. A set of values has a mean of 102 and a standard deviation of 12. Find
the z-score of the value 135.

Respuesta :

KrystaCort KrystaCort
  • 19-09-2019

Answer:

z = 2.75

Step-by-step explanation:

The formula used for z-score is:

[tex]z=\dfrac{x-\mu}{\sigma}[/tex]

where, [tex]\mu[/tex] is the population mean

[tex]\sigma[/tex] is the standard deviation

and x is the value of observation.

Here, x = 135,  [tex]\mu[/tex] = 102   and, [tex]\sigma[/tex] = 12

Putting all these values in formula of z-score. We get,

[tex]z=\dfrac{135-102}{12}[/tex]

⇒ z = 2.75

It mean that values have score 2.75 standard deviations above the mean.

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