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Answer :
Final answer:
The z-score for a data point of 91.6, with a mean of 99.1 and standard deviation of 3.7, is -2.03. This indicates that the value 91.6 is 2.03 standard deviations less than the mean.
Explanation:
To calculate the z-score, you use the formula Z = (X - μ) / σ. Here, X is the value for which we want to find the z-score, μ is the mean, and σ is the standard deviation.
In this problem, X = 91.6, μ = 99.1, and σ = 3.7. Plugging these values into the formula, we get Z = (91.6 - 99.1) / 3.7 = -2.03.
However, you need to round your answer to two decimal places, so the z-score should be -2.03. This means that the value 91.6 is exactly 2.03 standard deviations below the mean, 99.1. Therefore, the correct answer is option b) -2.03.
Learn more about Z-Scores here:
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