At a z-score of 1.80, the percentage of the scores that are better than yours is equal to 3.59%.
<h3>What is a z-score?</h3>
In Mathematics, a z-score is sometimes referred to as a z-value or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
<h3>How to determine the percentage?</h3>
Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:
Z-score = (x - μ)/σ
Where:
- x represents the sample score.
- σ represents the standard deviation.
- μ represents the mean score.
Since a score of 85 on a test corresponds to a z-score of 1.80, the percentage of the scores that are better than yours is given by:
P(x > 85) = P(z > 1.80)
P(z > 1.80) = 0.0359
P(z > 1.80) = 3.59%.
Read more on z-scores here: brainly.com/question/26714379
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