Is the calculation of the median including outliers?

In MATLAB's box plot, is the calculation of the median including outliers? or just including only data between upper whiskers and lower whiskers?

[hmhuang]

If outliers are not considered, how to include outliers inside whiskers so that they are involved in the calculation of the median?

Answer 1

[Voss]

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.