You recently took a standardized test in which scores follow a normal distribution with a mean of 18 and a standard deviation of 3. You were told that your score is at the 75th percentile (= p) of this distribution. What is your score (rounded)?Group of answer choices

To find your score, you need to find the z-score that corresponds to the 75th percentile. The z-score is a measure of how many standard deviations an element is from the mean.

1. Look up the z-score that corresponds to the 75th percentile in a standard normal distribution table or use a calculator. The z-score for the 75th percentile is approximately 0.67.

2. Use the formula for the z-score to find your score: X = μ + Zσ, where X is the score, μ is the mean, Z is the z-score, and σ is the standard deviation.

3. Substitute the given values into the formula: X = 18 + 0.67*3.

4. Calculate the result: X = 18 + 2.01 = 20.01.

5. Round the result to the nearest whole number: X = 20.

So, your score is approximately 20.