Question

Giver isual z-score of 2.15, find the mean if the score was 77 and the standard deviation was 7.6. Ομ = 60.66 Α) μ = -60.66 D) μ = 73.56 Β) μ = -73.56

Answer 1

To determine the mean (μ) of a normally distributed dataset with a z-score of 2.15, a score of 77, and a standard deviation of 7.6, we use the z-score formula and calculate μ = 60.66.

Step-by-step explanation:

The question asks us to find the mean (μ) of a normally distributed dataset given a z-score of 2.15, a score (x) of 77, and a standard deviation (σ) of 7.6. To do this, we can use the z-score formula z = (x-μ)/σ.

Substituting the provided values into the formula we get 2.15 = (77-μ)/7.6. To find the mean, we rearrange the equation to solve for μ: μ = 77 - (2.15 × 7.6).

After doing the calculations, we find μ = 60.66, which is the correct mean of the dataset.