Question

question 6
the average time to complete a 10k race for a female runner is 64.61 minutes with a standard deviation of 5.18 minutes. sarah completes her first 10k race in 58.24 minutes. what is sarahs z - score? (round your answer to 2 decimal places.)

Explanation:

Step1: Recall z - score formula

The formula for the z - score is $z=\frac{x-\mu}{\sigma}$, where $x$ is the observed value, $\mu$ is the mean, and $\sigma$ is the standard deviation.

Step2: Identify values

We are given that $\mu = 64.61$, $\sigma=5.18$, and $x = 58.24$.

Step3: Substitute values into formula

$z=\frac{58.24 - 64.61}{5.18}=\frac{- 6.37}{5.18}\approx - 1.23$

Answer:

$-1.23$