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Math Help - histograms and areas

  1. #1
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    histograms and areas

    Hi;
    area of histogram is proportional to frequency which is the constant k.
    how can I tell from a histogram when K is not equal to 1?

    Thanks.
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  2. #2
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    Re: histograms and areas

    Quote Originally Posted by anthonye View Post
    Hi;
    area of histogram is proportional to frequency which is the constant k.
    how can I tell from a histogram when K is not equal to 1?

    Thanks.
    I don't understand the question statement. Are you saying that given some frequency distribution S(f) the following holds?

    \displaystyle{\lim_{df \to 0}}\int_f^{f+df}S( \nu )d\nu = Kf

    This just says that S(f)=Kf

    So the slope of S(f) immediately reveals the value of K.

    If you've got discrete bins just do a linear regression on their values to get an estimate of the slope of S(n \Delta f)
    Last edited by romsek; February 14th 2014 at 11:14 AM.
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  3. #3
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    Re: histograms and areas

    I thought area was equal to frequency, now I read its proportional to frequency through area = k(frequency).
    I understand that but by looking at a histogram and asked to find the frequency I would just fd(cw) this is fine
    when the constant k=1. How do I know if k=1 from a histogram?
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