How deeply does Statistics Slam Dunk cover upper quartile?

Defines the cutoff and relates it to the median of the upper half, without deriving alternative quartile algorithms.

Upper quartile

The upper quartile is the value marking approximately the 75th percentile of an ordered set of observations.

The upper quartile is the value at the 75% cutoff when observations are arranged in ascending order. It is also called the third quartile. section 2.5.1

For continuous variables, R’s summary() function reports the upper quartile alongside the minimum, lower quartile, median, mean, and maximum. section 2.5.1

Use the upper quartile to:

Describe where the highest quarter of ordered observations begins. section 2.5.1
Compare the spread of NBA draft variables such as age, games played, minutes, or career win shares. section 2.5.1
Inspect continuous point-spread variables with SmartEDA’s upper hinge, which represents the median of the upper half of the data. section 17.4.3

NBA draft summary

Running summary(draft) produces a 3rd Qu. value of 22.05 for Age, meaning the upper-quartile cutoff for draft age is 22.05 years in the displayed data.

How Statistics Slam Dunk covers it

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Also explained in

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D3.js in Action, Third EditionThe 75th percentile is the value below which approximately 75 percent of an ordered dataset falls and is also called the third quartile.
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Cyber Threat HuntingThe upper quartile is the value below which 75 percent of observations fall in an ordered dataset.

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Related concepts

quantileskind of · A quantile is a value that divides an ordered dataset or probability distribution so that a specified proportion of observations lies at or below it.
quartilekind of · A quartile is a quantile or cut point that divides ordered observations into four approximately equal parts.
percentileequivalent to · A percentile is a value in an ordered distribution at or below which a specified proportion of observations falls.
interquartile rangeused by · The interquartile range is the difference between the third and first quartiles of a distribution, measuring the spread of its middle half.
quantile quantizationused by · Quantile quantization transforms numerical values into discrete levels or buckets using thresholds derived from the values’ distribution quantiles.
box-and-whisker plotused by · A box-and-whisker plot is a statistical graphic that summarizes a numerical distribution using quartiles, a median, and whiskers or markers indicating spread and potential outliers.

This explainer was generated by Manning's knowledge graph from the text of Statistics Slam Dunk. The section links point to the parts of the book it draws on.