Interpreting the Z-score

[Gmfarah1]

Sample Exam 2- on the vcaa website Q5) says to interpret the z-score of this suburb’s population density with reference to the mean population, i used the 68-95-99.7% rule, I already know population density’s mean: 4370 & Standard deviation: 1560 so I used the Z-score I found in part b(I): -0.8 and solved to find the actual score(x) which was 3122 in my 68-95-99.7% line it lied in the 68% region which is from 2810-5930 how would I interpret this? Is there a correct format you have to follow like your coefficient of determination etc.

[Lear]

Please try and post in the further maths questions thread and include a picture of the question in your post for future questions.

Here is that thread —> https://atarnotes.com/forum/index.php?topic=142314

I believe it is fine to say that the z score of -0.8 indicates the suburbs population density is 0.8 standard deviations lower than the mean population density of 4370.