Using z-score formula, Mean is 5.7.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = x − μσ
Where x is the raw score, μ is the mean and σ is the standard deviation.
According to the question
z = 2.75, x = 11.8, and σ = 1.6
Using the given z-score formula, z = x − μσ
μ = (x - z)/σ
Mean μ = [tex]\frac{11.8-2.75}{1.6}[/tex]
μ = 5.655625
Rounding answer to one decimal place
μ = 5.7
Using z-score formula, Mean is 5.7.
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