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Calculate the standard score of the given x value, \( x = 91.6 \), where \( \mu = 99.1 \) and \( \sigma = 3.7 \).

Round your answer to two decimal places.

Answer :

The standard score of the given x value is -2.03. Rounded to two decimal places, the answer is -2.03.

To calculate the standard score (also known as z-score) of the given x value, we use the formula:

z = (x - u) / s

where x is the value we want to standardize, u is the mean of the population, and s is the standard deviation of the population.

We are given x = 91.6, u = 99.1, and s = 3.7. Substituting these values into the formula, we get:

z = (91.6 - 99.1) / 3.7

z = -2.03

Therefore, the standard score of the given x value is -2.03. Rounded to two decimal places, the answer is -2.03.

To know more about Decimals -

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