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Math Help - calculation standard deviation using propogation of error help?

  1. #1
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    calculation standard deviation using propogation of error help?

    Given the following values for xi and yi
    {xi}= 3.4, 1.3, 2.3, 1.9, 3.1, 2.5, 3.2, 4.5, 4.7, 4.3
    {yi}= 2.3, 4.2, 6.4, 3.9, 4.7, 3.6, 1.7, 3.7, 5.3, 5.8


    If  p_{i} = x_{i} + y_{i}

     q_{i} = x_{i} - y_{i}

    and  z_{i} = x_{i} \times y_{i}


    Calculate the mean and standard deviation for p, q and z using the propagation of error method. (i.e. use the mean value and the standard deviation of x and y to calculate the mean and standard deviation of p, q and z)


    I know how to calculate standard deviation, however I dont how to do it using the mean value and standard deviation from my first results? How is that even possible?

    How can I calculate stadard deviation from standard deviation?
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  2. #2
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    Here I have attached the answers, but not sure how they got the standard deviation of p q and z.
    Attached Thumbnails Attached Thumbnails calculation standard deviation using propogation of error help?-untitled.jpg  
    Last edited by Tweety; November 9th 2010 at 11:55 AM.
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