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Math Help - Averages.

  1. #1
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    Averages.

    For the life of me I'm unable to locate a way to calculate this issue.. I'm trying to take the average of 3 numbers, however each number has more or less weight on the total average than the other 2 numbers.. For example.

    (Number 1) 50% total weight
    (Number 2) 37.5% total weight
    (Number 3) 12.5% total weight
    All equaling 1 total average. Any help would be appreciated. Thank you!
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  2. #2
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    Re: An easy question? Averages.

    Hello, cmpprice!

    I'm trying to take the average of 3 numbers. .However each number
    has more or less weight on the total average than the other 2 numbers.

    For example:

    Number 1: 50% total weight
    Number 2: 37.5% total weight
    Number 3: 12.5% total weight

    All equaling one total average.

    Look at it this way:

    . . \begin{array}{cccccc}\text{Number} & \text{Weight} \\ X & 50\% &=& \frac{4}{8} \\ \\[-3mm] Y & 37.5\% &=& \frac{3}{8} \\ \\[-3mm] Z & 12.5\% &=& \frac{1}{8} \end{array}

    Their weights are in the ratio . X:Y:Z \:=\:4:3:1

    Their average is: . \dfrac{4X + 3Y + Z}{8}

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  3. #3
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    Re: An easy question? Averages.

    I am fix , cannot get this.
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  4. #4
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    Re: Averages.

    Quote Originally Posted by cmpprice View Post
    For the life of me I'm unable to locate a way to calculate this issue.. I'm trying to take the average of 3 numbers, however each number has more or less weight on the total average than the other 2 numbers.. For example.

    (Number 1) 50% total weight
    (Number 2) 37.5% total weight
    (Number 3) 12.5% total weight
    All equaling 1 total average. Any help would be appreciated. Thank you!
    Hello.

    There are 3 different people, one with 50% weight, 37.5% weight, and 12.5% weight. For this example, the 50% weight person is X, 37.5 weight person is W, and 12.5% person is U. So we have 50%, X. 37.5% ,W. 12.5% U.

    Now we know that 50% = 50/100 = 1/2 = 4/8
    37.5% = 3/8
    12.5% = 1/8, You can divide 3/8 by 3.

    Now lets refer back to X, W, and U. For simple purposes, lets give them values. X = 100, W = 150, and U = 200.

    Now to find the average... [ (4/8)100 + (3/8)150 + (1/8)200 ]/3 = y
    You divide everything by 3, because you're trying to find the average of all three people.
    Or you can use, [ (4/8)X + (3/8)W + (1/2)U ]/3 = Y
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  5. #5
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    Re: Averages.

    Or, simply 0.50X+ 0.375Y+ 0.125Z.
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