Question

You scored an 85 on a test. This corresponds to a z-score of 1.80. What percentage of the scores are better than yours?

Answer 1

At a z-score of 1.80, the percentage of the scores that are better than yours is equal to 3.59%.

What is a z-score?

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.

How to determine the percentage?

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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