Given a data set with a mean of x = 14.8 and a standard deviation of s 1.6, determine the z-score for the data value x 11.3.

Answer 1

Hi Ariel! The z-score is calculated as shown below:

Where x is the data point, µ is the mean, and σ is the standard deviation.

So we set up the equation as follows:

z = (11.3 - 14.8)/1.6 = -2.188

Wikipedia has a good article on z-scores: https://en.wikipedia.org/wiki/Standard_score

If you need any more help feel free to message me!