11.6.3: Formula Review

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    11.3 Standard Divisors, Standard Quotas, and the Apportionment Problem

    Let \(A\) be a particular item and \(B\) another such that there is a constant ratio of \(A\) to \(B\).

    • ratio of \(B^{\prime} \mathrm{s}\) to \(A^{\prime} \mathrm{s}=\dfrac{1}{\text { ratio of } A^{\prime} \mathrm{s} \text { to } B^{\prime} \mathrm{s}}\) and ratio of \(A^{\prime} \mathrm{s}\) to \(B^{\prime} \mathrm{s}=\dfrac{1}{\text { ratio of } B^{\prime} \mathrm{s} \text { to } A^{\prime} \mathrm{s}}\)
    • units of \(A=(\) units of \(B) \times(\) ratio of \(A\) 's to \(B ' s)=\dfrac{\text { units of } B}{\text { ratio of } B^{\prime} \text { sto } A^{\prime} \mathrm{s}}\)
    • units of \(B=(\) units of \(A) \times(\) ratio of \(B ' s\) to \(A ' s)=\dfrac{\text { units of } A}{\text { ratio of } A \text { 's to } B^{\prime} \mathrm{s}}\)

    Standard Divisor \(=\dfrac{\text { Total Population }}{\text { House Size }}\)

    State's Standard Quota \(=\dfrac{\text { State Population }}{\text { Standard Divisor }}\) seats

    11.5 Fairness in Apportionment Methods

    \(\begin{array}{l}\text { population growth rate }=\dfrac{\text { current population size }- \text { previous population size }}{\text { previous population size }} \\ \text { New House Size }=\dfrac{\text { New Population }}{\text { Original Standard Divisor }} \text { rounded to the nearest whole number. }\end{array}\)

    This page titled 11.6.3: Formula Review was last modified on Thu, 02 Jan 2025 09:27:27 GMT and is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform.