• mean = 79.8
,• mean = 14.4
1) Solving for m, plugging it for the z-score formula we have:
[tex]\begin{gathered} Z=\frac{X-m}{s} \\ -3\text{ =}\frac{29.4-m}{16.8}\text{ x16.8} \\ -50.4\text{ =29.4-m} \\ m=50.4+29.4 \\ m=79.8 \end{gathered}[/tex]We can state then the mean is 79.8, the s stands for Sample Deviation. Note that we multiplied both sides by 16.8 and added 50.4 to both sides
2) The second Z-score formula presents the following data:
[tex]\begin{gathered} Z=\frac{X-m}{s} \\ 3=\frac{24.9-m}{3.5}\text{ x 3.5} \\ 10.5=24.9-m \\ m=24.9-10.5 \\ m=14.4 \end{gathered}[/tex]The difference for that is the Standard Deviation (3) and the Z-score.
3) Hence, the answer is
0. mean = 79.8
,1. mean = 14.4
