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A graphical display to summarize the distribution of a sample. It displays five numbers plus (possibly) some outliers - those five points being the median, hinges (approximate quartiles), and the largest and smallest value not counting any points marked as outliers.

1 vote
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Interpreting boxplot VS stacked histogram in example

When looking at the labelling I would gather that the "median" year is what is being captured by the boxplot. … That's correct, that's what is being displayed by the median line -- but not only the median, since the boxplot includes other information. But that doesn't make much sense in this context. …
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2 votes

Why do box-and-whisker plots use interquartile range, when it deliberately ignores everythin...

A boxplot is not badly affected by such contamination, but something that put full weight on the most discrepant points would be. …
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4 votes

How to check the assumptions of ANOVA from a boxplot?

Nevertheless, sometimes it's the only option available (such as when we have nothing but the side-by-side boxplot to look at). …
Glen_b's user avatar
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7 votes

Why doesn't the fact that 1 median is lower than another median, mean that most in group 1 a...

"Most men are faster than most women" is potentially a little ambiguous, but I would normally interpret the intent of it to be that if we look at random parirings, most of the time the man would be fa …
Glen_b's user avatar
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4 votes
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ANOVA - Homogeneous variance, what to look for in a boxplot

Similarly it's not hard to compare box-widths in a boxplot (which include half the data at each value). … In your boxplot your biggest box is just over double the size of your smallest box, so that looks pretty good to me. …
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7 votes

What information does a Box Plot provide that a Histogram does not?

If I do the same with a boxplot you have it immediately; if that's what you're interested in, boxplots obviously win. … Or you could add information to a histogram: (plots from this answer) The first of those -- adding a narrow boxplot to the margin -- gives you any benefits to be gained from either display. …
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5 votes
Accepted

Why do means appear outside the boxplot?

[The boxplot of the top sample is symmetric, so the mean is right in the middle. … The lower boxplot has had its two largest values moved up, which affects the mean, and now it appears to be right-skewed, in a way that leaves the mean "outside the box". …
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13 votes
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box plot in R: Do the outliers count when the quantiles are being determined?

R -- like many, but not all programs -- mostly uses Tukey's definition* of how to draw a boxplot. The entire original sample is used to calculate the hinges (where the box-ends are drawn). …
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14 votes

Reading box-and-whisker plots: possible to glean significant differences between groups?

There's a discussion of notched boxplot calculations here. … When the sample size is 10 and the median is placed close to the middle of the box, the notches in a notched boxplot are about the width of the box, so the notch-ends and the box are in roughly the same …
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5 votes

How to understand boxplot skewness

Note that this asymmetry in the box of a boxplot is related to a measure of skewness called the quartile skewness (Also see here) In small samples from symmetric distributions the median may frequently … Even very "nicely" behaved unimodal distributions like the normal can have this boxplot-asymmetry happen. …
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12 votes
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Box plot notches vs. Tukey-Kramer interval

As far as the notched boxplot goes, the McGill et al [1] reference mentioned in your question contains pretty complete details (not everything I say here is explicitly mentioned there, but nevertheless …
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3 votes
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is there a way to update an already-plotted boxplot in R?

We can then plot the resulting boxplot. This could work with almost any size of data set as long as you can count the number of observations in a bin. … that default boxplot code to incorporate working through the data portions in lieu of the call to boxplot.stats) …
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1 vote
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Measuring performance with histogram

If the batches differ in complexity then assigning complex batches to high performers is guaranteed to make them do worse. So unless you're accounting for the different difficulty of batches when comp …
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4 votes

Interpret box plot when no mean is shown

I am guessing that what you have here would be a dynamite plot [1], rather than a boxplot; also sometimes called a detonator plot. … The reason I think so is the absence of the low end of the box, which should be present if it's a boxplot with median = lower hinge = min, while the bottom of the bar is usually not drawn in a dynamite …
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7 votes
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Minimum "recommended" sample size for boxplots? Boxplots for different sample sizes

(If you need the boxplot anyway, it can't hurt to show the values as well.) … by plotting the quantile plot under the boxplot. …
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