One of three different “seven number” summaries of the distribution of a set of scores. These are all extensions of the five point summary (minimum, lower quartile, median, upper quartile and maximum).
Details #
Unlike “the” seven-number summary and Bowley’s seven number summary the summary numbers for Tukey’s version are the minimum, the first octile (i.e. the 12.5% percentile), the five-number points of the lower quartile, median and upper quartile and upper octile (87.5% percentile) and the maximum.
The differences from Bowley’s seven numbers are in using the first and last octiles rather than the first and last deciles.
I honestly doubt if you’ll ever see these used unless I squeeze them into a paper just for the fun of it. (Tempting but I won’t!)
Try also #
- Bowley’s seven-figure summary
- Five point summary
- Percentiles
- Quantiles
- Quartiles
- Seven point summaries
- “The” seven number summary
Chapters #
Not covered in the OMbook.
Online resources #
One of my shiny apps: ECDF plot with quantiles and CIs for quantiles is pertinent in the unlikely event that you ever want to get any of these seven point splits of your data with their confidence intervals!
Dates #
First created 3.v.25, links tweaked 4.v.25.