2.12: 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.

$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}$

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2.3: Measures of the Location of the Data

2.5: Measures of the Center of the Data

2.3: Measures of the Location of the Data

2.5: Measures of the Center of the Data

2.8: Measures of the Spread of the Data