Question

b. find the percentile rank for a fare of $272. 42% 5. our class average height is ____ inches with a standard de z-score with respect to the average. 6. think about it: what does a positive z-score mean? 7. think about it: what does a negative z-score mean?

Explanation:

Question 6

A positive z - score is calculated as $z=\frac{x - \mu}{\sigma}$, where $x$ is the data point, $\mu$ is the mean, and $\sigma$ is the standard deviation. If $z>0$, then $x-\mu>0$, so $x > \mu$. This means the data point is above the mean of the dataset.

Using the z - score formula $z=\frac{x - \mu}{\sigma}$, if $z < 0$, then $x-\mu<0$, so $x<\mu$. This indicates that the data point is below the mean of the dataset.

Answer:

A positive z - score means the data point (e.g., a height, a fare) is greater than the mean of the corresponding dataset.

Question 7