The mean monthly rent is students at Oxnard University is $770 with a standard deviation of $239

Johns rents is $1,275. What is his standard z-score?

Z=


How high would the rent have to be to qualify as an outlier?


Johns rent would have to be $_____ or higher to be considered an outlier

Respuesta :

Johns rent would have to be $1487 or higher to be considered an outlier

The z score is used to determine by how many standard deviations the raw score is above or below the mean.

The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation\\\\\\Given\ that\ \mu=770,\sigma=239.\\\\For\ rent\ of\ 1275:\\\\z=\frac{1275-770}{239}=2.11[/tex]

A z score greater than 3 is considered an outlier, hence:

[tex]3=\frac{x-770}{239} \\\\717=x-770\\\\x=1487[/tex]

Johns rent would have to be $1487 or higher to be considered an outlier

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