Interpreting Physics Grade Sheet: Percentile, Mean%, & SD Explained

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The discussion focuses on interpreting a physics grade sheet, specifically the Percentile, Mean%, and Standard Deviation (SD) metrics. The user initially misinterpreted their percentile ranking, believing it indicated they performed better than 58% of their peers, when in fact, with the correct class size of 26, they ranked in the 4th percentile, meaning they scored better than 96% of the class. The conversation clarifies that the SD represents the range around the mean score where approximately 66% of scores fall, and it is measured in points rather than percentages. Users emphasize the importance of understanding these statistics to gauge individual performance relative to the class. Accurate interpretation of these metrics is essential for assessing academic standing.
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I was wondering if someone could help me interpret a grade sheet I got in physics? Below is a slip that I received after our last quiz.
I understand what the first three columns are, but the Percentile, Mean%, and SD is what is comfusing me. I really do not know where I stand, in this class, compared to the rest of my fellow students.

I tried to copy this to a post, but I would not take. Below is the attatchment.
barry

Quiz Individual Performance GroupPerformance
Max. Score Score(%) Percentile N Mean(%) SD
Quiz 40 36.50 91.25% 42 6 85.63% 11.88
Total 40 36.5 91.3% 42 6 85.6% 11.9
 
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Your precential means that you did better the 58% of the people taking the test, N could/should be the number taking the test (6? pretty small class!) SD is the standard deviation, 66% of the scores fall within 1 SD of the mean. For this test 66% of the scores fell between 96% and 84%
 
Integral, thanks for the response. Is there a better way that I
could have posted the bottom part of my request?
I tried to attatch a DOC image, but it would'nt take.

Is 66% a standard for SD? We have 26 students in this class
(internet quizes), I was the first to take it. Also, how did
you arrive at 58%?
barry
 
I read the numbers as

Max. Score Score(%) Percentile N Mean(%) SD
40 36.50 91.25% 42 6 85.63% 11.88
Total 40 36.5 91.3% 42 6 85.6% 11.9

------------Quiz-----Total
Max.------- -40------- 40
Score-------36.5------36.5
Score(%)----91.25%----91.3%
Percentile --42--------42
N-------------6---------6
Mean(%)------85.635----85.6%
SD-----------11.88------11.9

looks like it should read
------------Quiz-----Total
Max.------- -40------- 40
Score-------36.5------36.5
Score(%)----91.25%----91.3%
Percentile --4---------4
N------------26--------26
Mean(%)------85.635----85.6%
SD-----------11.88------11.9

This changes the percentile allot, now you are in the 4th percentile which means you have a better score then 96% of the class


Initially I assumed that the SD was a percent, In reality it may be in points, which seems pretty broad considering it was a 40 point quiz.

1 standard Deviation is defined to be the span around the mean which contains 66% of the things being averaged. You may want to do a web search on the term it is a very commonly used statistic.
 
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