Is the calculation of the median including outliers?

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In MATLAB's box plot, is the calculation of the median including outliers? or just including only data between upper whiskers and lower whiskers?
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hmhuang
hmhuang on 13 Feb 2022
If outliers are not considered, how to include outliers inside whiskers so that they are involved in the calculation of the median?

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Accepted Answer

Voss
Voss on 13 Feb 2022
Let's do a test to try to figure it out:
rng(2);
data = randn(1,10);
figure();
plot(data)
med = median(data);
med_no_outlier = median(data(data > min(data)));
figure();
yline(med,'--g');
hold on
yline(med_no_outlier,'--m');
boxplot(data);
The median line from boxplot() matches the median calculated using all the data, so it looks like boxplot() uses all the data to compute the median.

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