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Math Help - Z-Score Aplication

  1. #1
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    Z-Score Aplication

    I recently received feedback on on my application to a med school. As part of the feedback I was told that:

    - there were 66 applicants all scored out of 100.
    - I scored 77.8/100 and I was given a Z-score.
    - The z-score was listed as " Z-score -33.18". I'm not strong in statistics and I'm not sure if this means negative or just a "-" to separate. (I always though z-score was -3 to 3)
    - The average for the top 9 applicants was 88/100

    I'm sure this should be some indication of where I stand compared to the rest of the applicants (which is important to me as I am on the wait-list for the school and if I know my rank I can better estimate my chances), however I just don't know how to interpret what my z-score means!

    Thanks in advance for any help!
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  2. #2
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    Its true that 99.7% of z-scores should be between -3 and 3.

    It seems unreasonable to that the 77.8/100 you recieved gave a z-value of -33.18

    It would suggest you are more than 33 standard deviations below the mean.

    I think the z-score they are talking about is different to the one associated with the normal distribution.
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  3. #3
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    Hmmm 33 stndrd dev doesn't seem right because she said I was about average in the applicant pool. Since it's real life I wouldn't expect it to be a normal distribution either.
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  4. #4
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    Things can be approximately normally distributed in real life.
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