Question

You have 4929 songs in your computers music library. The songs have a mean duration of 246.3 seconds with a standard deviation of 111.42 seconds. One of the songs is 391 seconds long. What is its z-score?

Answer 1

$\begin{gathered} x=391 \\ \mu=246.3 \\ \sigma=111.42 \\ z=\frac{x-\mu}{\sigma} \\ z=\frac{391-246.3}{111.42} \\ z=1.298 \\ \text{The value of z-score is 1.29}8 \end{gathered}$