The mean of a set of data is 4.11 and its standard deviation is 3.03. What is the z-score for a value of 10.86?

1 Answer

z~~2.23z2.23

Explanation:

Let mu and sigmaμandσ be the mean and standard deviation, resp.

Then, zz -score of xx is, z=(x-mu)/sigmaz=xμσ

" Here, "mu=4.11, sigma=3.03 Here, μ=4.11,σ=3.03

:. z=(10.86-4.11)/3.03=6.75/3.03~~2.23.