Normal Distribution Test Scores: Percentages & Interpretation for a School

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Homework Help Overview

The discussion revolves around a problem involving the normal distribution of standardized test scores in a school, specifically focusing on calculating percentages of students scoring within certain ranges and interpreting percentile rankings.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are discussing how to find the percentage of students scoring below a certain threshold and between two scores, as well as interpreting what it means for a student to be in the 97th percentile.

Discussion Status

Some participants have pointed out the need for the original poster to show their own attempts at solving the problem before receiving assistance. There is a suggestion to refer to visual aids related to the normal distribution to aid understanding.

Contextual Notes

There appears to be an expectation for participants to demonstrate their understanding or attempts at the problem, which may influence the level of guidance provided in the discussion.

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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