Normal Distribution Test Scores: Percentages & Interpretation for a School

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In summary, we are dealing with a normal distribution of scores on a standardized test with a mean of 720 and a standard deviation of 83. To find the percentage of students scoring less than 650, we can use the area under the curve to the left of 650, which is approximately 15.9%. For the percentage scoring between 500 and 780, we can use the area under the curve between those two values, which is approximately 81.5%. If a student scored in the 97th percentile, we can say that their score is higher than 97% of the other scores in the distribution, and is likely to be above 800.
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tempface7
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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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You need to show your own attempts at a solution before you can get help.
 
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You posted the same thing here and got the same response. You're not going to get help without any work.
 
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