Question

question 1-10
on a normal distribution, the mean
has a z - score of 0.
equals the median.
equals the mode.
all of the above

Explanation:

1. For a normal distribution, the z - score of the mean: The formula for the z - score is $z=\frac{x - \mu}{\sigma}$, where $x$ is the value, $\mu$ is the mean, and $\sigma$ is the standard deviation. When $x = \mu$, $z=\frac{\mu-\mu}{\sigma}=0$. So the mean has a z - score of 0.
2. In a normal distribution, the distribution is symmetric about the mean. For a symmetric distribution, the mean (the average value) is equal to the median (the middle value when data is ordered) and also equal to the mode (the most frequently occurring value, and in a normal distribution the peak is at the mean). So the mean equals the median and the mode.

Since all three statements are true, the correct option is "All of the above".

Answer:

All of the above