Normal Distribution Test Scores: Percentages & Interpretation for a School

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SUMMARY

The discussion focuses on analyzing standardized test scores that follow a normal distribution with a mean of 720 and a standard deviation of 83. Participants calculated the percentage of students scoring less than 650, which is approximately 10.56%, and the percentage scoring between 500 and 780, which is about 84.13%. Additionally, a student scoring in the 97th percentile would have a score of approximately 970, indicating they performed better than 97% of their peers.

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2. Suppose that scores on a standardized test in a school are normally distributed with a mean 720 and standard deviation 83.
a. find the percentage of students scoring less than 650
b. find the percentage scoring between 500 and 780
c. if you were told that a student scored in 97th percentile, what could you say about that students score?

thanks in advance
 
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