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Chapter 5

Measures of Relative Standing

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Review and Preview
Review and Preview
In statistics, several tools are used to interpret the data. Measures of central tendency represent the characteristics of the data, such as mean, median, ...

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Introduction to <em>z</em> Scores
Introduction to z Scores
A z score (or standardized value) is measured in units of the standard deviation. It tells you how many standard deviations the value x is above (to the ...

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<em>z</em> Scores and Unusual Values
z Scores and Unusual Values
The z score is one of the three measures of relative standing. It describes the location of a value in a dataset relative to the mean. z scores are ...

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Percentile
Percentile
A percentile indicates the relative standing of a data value when data are sorted into numerical order from smallest to largest. It represents the ...

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Quartile
Quartile
Quartiles are numbers that separate the data into quarters. Quartiles may or may not be part of the data. To find the quartiles, first, find the median or ...

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5-Number Summary
5-Number Summary
In a dataset, the 5-number summary includes the minimum data value, the data value of the first quartile, the median data value or data value of the ...

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Boxplot
Boxplot
Box plots (also called box-and-whisker plots or box-whisker plots) give an excellent graphical image of the concentration of the data. They also show how ...

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What Are Outliers?
What Are Outliers?
Outliers are observed data points that are far from the least squares line. They have unusual values and need to be examined carefully. Though an outlier ...

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Modified Boxplots
Modified Boxplots
A standard box and whisker plot informs us about the spread of the data in a given sample. One can identify the minimum value, maximum value, first ...
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