To determine the z-score of a raw data x, we have the formula below:
[tex]z=\frac{rawdata-\operatorname{mean}}{sd}[/tex]Based on the question, our mean is 73 and standard deviation is 10.8.
a. x = 85 (raw data is 85)
Let's plug these values to the z formula.
[tex]z=\frac{85-73}{10.8}=\frac{12}{10.8}\approx1.11[/tex]We subtracted the mean from the raw data first (85 - 73 = 12). Then, we divide the results by 10.8. The result is 1.11.
Hence, equivalent z-score of x = 85 is 1.11.
