College

Calculate the standard score of the given x-value, \( x = 36.9 \), where \( \mu = 35 \), \( \sigma = 7.2 \). Round your answer to two decimal places.

Answer :

Final answer:

The standard score, or z-score, of x = 36.9 is approximately 0.26.


Explanation:

To calculate the standard score, also known as the z-score, we use the formula:

z = (x - µ) / σ

where x is the given value, µ is the mean, and σ is the standard deviation.

Plugging in the values:

z = (36.9 - 35) / 7.2

z ≈ 0.26


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