Question

1. a data set is approximately normally distributed. 12a if a value that belongs to the data set has a z - score of 3.42, how many standard deviation(s) is the value away from the mean? number of standard deviations = enter your next step here

Explanation:

Step1: Recall z-score definition

The z-score of a value is defined as the number of standard deviations that value is away from the mean, calculated by $z = \frac{x - \mu}{\sigma}$, where $x$ is the data point, $\mu$ is the population mean, and $\sigma$ is the population standard deviation.

Step2: Interpret given z-score

A z-score of 3.42 directly indicates the distance from the mean in standard deviation units.

Answer:

3.42