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Corey has 4929 songs in his computer music library. The songs have a mean duration of 248.6 seconds with a standard deviation of 114.89 seconds. One of the songs is 363 seconds long. What is its z-score?

Respuesta :

In order to calculate a z-score value, we need to use the following equation:

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

Where, x is the observed value,

μ is the mean, and

σ is the standard deviation of the sample

In this example,

[tex]Z=\frac{363-248.6}{114.89}[/tex]

solving this, we obtain a Z-score of 0.9957

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