High School

Calculate the standard score of the given X value, [tex]X = 35.8[/tex], where [tex]\mu = 29.4[/tex] and [tex]\sigma = 25.9[/tex].

Answer :

Final answer:

The standard score of X = 35.8 is approximately 0.247.

Explanation:

To calculate the standard score (or z-score) of a given value, we use the formula z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation. In this case, X = 35.8, μ = 29.4, and σ = 25.9. Plugging these values into the formula, we get z = (35.8 - 29.4) / 25.9 = 0.247.

Therefore, the standard score of X = 35.8 is approximately 0.247.

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