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Given how I understand your rhetorical objective, I would simply calculate paired differences (bars - dots) and plot these differences in a histogram or kernel density estimate plot. You could also add any combination of (1) a vertical line corresponding to zero difference (2) any choice of percentiles.

This would highlight what portion of the data have bars exceeding dots, and generally what the observed differences are.

(I've assumed that you're not interested in displaying the actual, raw values of bars and dots in the same plot.)

One could also plot confidence or posterior credible intervals to indicate whether these differences are significant. (H/T @MrMeritology!)

Given how I understand your aim, I'd just calculate paired differences (bars - dots), then plot these differences in a histogram or kernel density estimate plot. You could also add any combination of (1) a vertical line corresponding to zero difference (2) any choice of percentiles.

This would highlight what portion of the data have bars exceeding dots, and generally what the observed differences are.

(I've assumed that you're not interested in displaying the actual, raw values of bars and dots in the same plot.)

One could also plot confidence or posterior credible intervals to indicate whether these differences are significant. (H/T @MrMeritology!)

Given how I understand your rhetorical objective, I would simply calculate paired differences (bars - dots) and plot these differences in a histogram or kernel density estimate plot. You could also add any combination of (1) a vertical line corresponding to zero difference (2) any choice of percentiles.

This would highlight what portion of the data have bars exceeding dots, and generally what the observed differences are.

(I've assumed that you're not interested in displaying the actual, raw values of bars and dots in the same plot.)

Given how I understand your rhetorical objective, I would simply calculate paired differences (bars - dots) and plot these differences in a histogram or kernel density estimate plot. You could also add any combination of (1) a vertical line corresponding to zero difference (2) any choice of percentiles.

This would highlight what portion of the data have bars exceeding dots, and generally what the observed differences are.

(I've assumed that you're not interested in displaying the actual, raw values of bars and dots in the same plot.)

One could also plot confidence or posterior credible intervals to indicate whether these differences are significant. (H/T @MrMeritology!)

Given how I understand your rhetorical objective, I would simply calculate bars - dots and plot these differences in a histogram or kernel density estimate plot. You could also add any combination of (1) a vertical line corresponding to zero difference (2) any choice of percentiles.

This would highlight what portion of the data have bars exceeding dots, and generally what the observed differences are.

(I've assumed that you're not interested in displaying the actual, raw values of bars and dots in the same plot.)

Given how I understand your rhetorical objective, I would simply calculate paired differences (bars - dots) and plot these differences in a histogram or kernel density estimate plot. You could also add any combination of (1) a vertical line corresponding to zero difference (2) any choice of percentiles.

This would highlight what portion of the data have bars exceeding dots, and generally what the observed differences are.

(I've assumed that you're not interested in displaying the actual, raw values of bars and dots in the same plot.)