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Math Help - Very easy percentage question, cant remember how to solve it! :(

  1. #1
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    Very easy percentage question, cant remember how to solve it! :(

    Ok so I took an exam, and they said I got a 53% on it, but when I add up all the percentages and divide by the number of categories, I get a 57% (55% is passing). So can someone tell me what the total percentage (score) of all these categories are? I know this is elementry but I just want to double check before I call them

    These are each of the sections of the exam and what I scored:
    1) 75%
    2) 53%
    3) 50%
    4) 50%
    5) 20%
    6) 100%
    7) 50%
    8) 75%
    9) 0%
    10) 100%

    Thank you so much for the help!
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  2. #2
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by coachscore View Post
    Ok so I took an exam, and they said I got a 53% on it, but when I add up all the percentages and divide by the number of categories, I get a 57% (55% is passing). So can someone tell me what the total percentage (score) of all these categories are? I know this is elementry but I just want to double check before I call them

    These are each of the sections of the exam and what I scored:
    1) 75%
    2) 53%
    3) 50%
    4) 50%
    5) 20%
    6) 100%
    7) 50%
    8) 75%
    9) 0%
    10) 100%

    Thank you so much for the help!
    If each section carries equal weight then take the mean:

    \mu = \frac{75+53+50+50+20+100+50+75+0+100}{10}


    If each section does not carry equal weight then it's more complicated:

    <br />
\frac{0.75x_1 + 0.53x_2 + 0.5x_3+0.5x_4+0.2x_5+1x_6+0.5x_7+0.75x_8+0x_9+1x_{  10}}{x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}}

    Where x_1 \text{ , } x_2 \text{ ,  ... , }x_{10} are the percentage of the total expressed in decimal/fractional from for questions 1 to 10 respectively
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  3. #3
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    Ok, your first problem was my exact thinking, which brought me to 57.x.
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  4. #4
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    e^(i*pi)'s Avatar
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    I get the same answer when I evaluated the first equation. Perhaps a mistake was made?
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  5. #5
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    I can only hope! I will call them now.
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