192k views
5 votes
Use the z-score formula, z=x−μσ, and the information below to find the mean, μ. Round your answer to one decimal place, if necessary. z=4.25, x=24.1, and σ=4.8

User Jowayne
by
7.5k points

1 Answer

2 votes

Final answer:

The mean (μ) can be found using the z-score formula rearranged to solve for μ. In this case, the mean μ is 3.7.

Step-by-step explanation:

To find the mean (μ) using the z-score formula, z=x−μσ, we can rearrange the formula to solve for μ. The formula becomes μ = x - zσ. Plugging in the values given, we have μ = 24.1 - 4.25 * 4.8 = 24.1 - 20.4 = 3.7. So, the mean μ is 3.7.

User Maweeras
by
8.1k points