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Using the normal distribution, it is found that a student has to score 1.08 standard deviations above the mean to be publicly recognized.
<h3>Normal Probability Distribution</h3>In a normal distribution with mean standard deviation
z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
The top 14% of the scores are given by scores above the 86th percentile, which corresponds to Z = 1.08, hence, a student has to score 1.08 standard deviations above the mean to be publicly recognized.
More can be learned about the normal distribution at brainly.com/question/24663213