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=2.75, x=11.8, and σ=1.6

Respuesta :

You need to use the equation (x-u)/o=z.

(11.8 - u) / 1.6 = 2.75

When you do the math, you get u = 7.4.

Using z-score formula, Mean is 5.7.

What is Z score?

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.

Find out more information about z-score here

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