Solve the problem. A variable x has the possible observations shown below. Possible observations of x: -3 -1 0 1 1 2 4 4 5 Find the z-score corresponding to an observed value of x of 2.

The z-score corresponding to an observed value of x of 2 is 0.215.

Step-by-step explanation:

We are given that a variable x has the possible observations shown below;

Possible observations of X: -3, -1, 0, 1, 1, 2, 4, 4, 5.

Firstly, we will find the mean and the standard deviation of X, i.e;

Mean of X, () =

                       =    

                       =    = 1.44

Standard deviation of X, () =  

                            =  

                            =  2.603

Now, the z-score corresponding to an observed value of x of 2 is given by;

                  z-score =  

                               =    = 0.215.