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Math Help - Mean, Median, and standard deviation:

  1. #1
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    Mean, Median, and standard deviation:

    Hi there,

    I am looking for help in understanding these numbers, please.

    I have 20 test scores that come out with a mean = 73, median = 70, and standard deviation = 15.9.

    Do these numbers look normal for testing assessment? I understand that the mean and median have average scores, so an average assessment. What about the standard deviation, is that normal? For some reason that seems high.

    Any help in understanding these numbers is appreciated, thanks
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  2. #2
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    Quote Originally Posted by mathdoofus View Post
    Hi there,

    I am looking for help in understanding these numbers, please.

    I have 20 test scores that come out with a mean = 73, median = 70, and standard deviation = 15.9.

    Do these numbers look normal for testing assessment? I understand that the mean and median have average scores, so an average assessment. What about the standard deviation, is that normal? For some reason that seems high.

    Any help in understanding these numbers is appreciated, thanks
    I don't typically worry about the median score (or quartiles) myself so I shouldn't say anything about those.

    I do notice that your standard deviation is 20 some percent of the mean, which is a fairly large size. This means that your test scores were "scattered" a bit: you were not consistent on your exams. As to the meaning that can be ascribed to this I cannot say. That rather depends on the stats your classmates had as well. (It could be a sign that, for example, the tests themselves were not written with a consistent level of difficulty.)

    Personally I wouldn't worry about it too much.

    -Dan
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  3. #3
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    Thanks for the help!

    Let me just expand more on what I mean by the 20 test scores. These scores were taken from 10 selected question types (multi-choice and matching) from a 40 question test.

    There were two 100s, three 90s, four 80s, four 70s, four 60s, and three 50s.
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