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

The problem is that the usual boxplot* generally can't give an indication of the number of modes. … McNeil, D. (2005), "Can the boxplot be improved?" …

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. …

Since you have the sample means and your hypothesis relates to population means, I've assumed you'll definitely want to use the sample means in what follows. With some distributional assumptions, you …

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 …

However, I'd join Frank and Nick in suggesting using a more informative display than a plain boxplot - the combination of a boxplot with quantile plot in Nick's post seems a particularly good notion, though … one might plot the quantile plot lightly over (or under, as here) the corresponding box instead of beside it: $\ $ If you're not doing something like that (just going with a plain boxplot, say), I'd …

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

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

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. …

"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 …

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. …

[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". …

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). …

However, a warning on just how crude the boxplot is. … If we exclude the points marked as boxplot-outliers in that case, we're excluding the point that's telling us that it is actually skew! …

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. …