Solution
- The solution steps are given below:
[tex]\begin{gathered} z=\frac{x-\mu}{\sigma} \\ \\ \text{ Make }\mu\text{ the subject of the formula} \\ \\ z\times\sigma=\frac{x-\mu}{\sigma}\times\sigma \\ \\ z\times\sigma=x-\mu \\ \text{ Subtract }x\text{ from both sides} \\ \\ z\sigma-x=-\mu \\ \text{ Multiply both sides by -1} \\ \\ \therefore\mu=x-z\sigma \\ \\ \text{ We have been given,} \\ z=1.75,x=10.9,\sigma=4.4 \\ \\ \text{ Thus, the mean is gotten as follows:} \\ \mu=10.9-1.75(4.4) \\ \mu=3.2 \end{gathered}[/tex]
Final answer
The mean is μ = 3.2
