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Math Help - Mean

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    Mean

    We have 4 men and 6 women in a class.the mean for 4 men and six women is 49.If the mean for six women is 51, what is the mean for 4 men?
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    Quote Originally Posted by mastermin346 View Post
    We have 4 men and 6 women in a class.the mean for 4 men and six women is 49.If the mean for six women is 51, what is the mean for 4 men?
    \bar{x} = 49

    10\bar{x} = 490

    6\bar{x}_w + 4\bar{x}_m = 490

    6(51) + 4\bar{x}_m = 490

    \bar{x}_m = 46
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    The mean for all 10 people is 49,
    hence the sum of the parameter for all is 490.
    The sum for the women is 6(51) = 306.
    The sum for the men is 490-306.
    Can you find the men's mean from here?

    uh-oh, I was beaten on the draw!
    Last edited by Archie Meade; December 27th 2009 at 05:49 AM.
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