Question

Use the Z score formula and the information below to find the mean round your answer to one decimal place if necessary

Answer 1

- The solution steps are given below:

`\begin{gathered} z=(x-\mu)/(\sigma) \\ \\ \text{ Make }\mu\text{ the subject of the formula} \\ \\ z*\sigma=(x-\mu)/(\sigma)*\sigma \\ \\ z*\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}`

Final answer

The mean is μ = 3.2