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2.1.11: Formula Review

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    2.3: Measures of the Location of the Data

    \(i=\left(\dfrac{k}{100}\right)(n+1)\)

    where \(i=\) the ranking or position of a data value,

    \(k=\text { the kth percentile, }\)

    \(n=\) total number of data.

    Expression for finding the percentile of a data value: \(\left(\dfrac{x+0.5 y}{n}\right)(100)\)
    where \(x=\) the number of values counting from the bottom of the data list up to but not including the data value for which you want to find the percentile,

    \(y=\) the number of data values equal to the data value for which you want to find the percentile,

    \(n=\text { total number of data }\)

    2.5: Measures of the Center of the Data

    \(\mu=\dfrac{\sum f m}{\sum f}\) Where \(f=\) interval frequencies and \(m=\) interval midpoints.

    2.8: Measures of the Spread of the Data

    \(s_x=\sqrt{\dfrac{\sum f m^2}{n}-\bar{x}^2}\) where \(\begin{array}{l}s_x=\text { sample standard deviation } \\ \bar{x}=\text { sample mean }\end{array}\)

    2.1.11: Formula Review is shared under a not declared license and was authored, remixed, and/or curated by LibreTexts.

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