title: Plotting averages of box plots as a box plot
body: <p>I have a set of lists (about 100) of the form <code>[6, 17, 5, 1, 4, 7, 14, 19, 0, 10]</code> and I want to get one box plot which plots the averages of box-plot information (i.e. median, max, min, Q1, Q3, outliers) of all of the lists.</p>
  <p>For example, if I have 2 lists</p>
  <pre><code>l1 = [6, 17, 5, 1, 4, 7, 14, 19, 0, 10]
  l2 = [4, 12, 3, 5, 16, 0, 14, 7, 8, 15]
  </code></pre>
  <p>I can get averages of max, median, and min of the lists as follows:</p>
  <pre><code>maxs = np.array([])
  mins = np.array([])
  medians = np.array([])
  for l in [l1, l2]:
      medians = np.append(medians, np.median(l))
      maxs = np.append(maxs, np.max(l))
      mins = np.append(mins, np.min(l))
  averMax = np.mean(maxs)
  averMin = np.mean(mins)
  averMedian = np.mean(medians)
  </code></pre>
  <p>I should do the same for other info in the box plot such as average Q1, average Q3. I then need to use this information (averMax, averMin, etc.) to plot just one single box plot (not multiple box plots in one graph).</p>
  <p>I know from <a href="https://stackoverflow.com/questions/24337726/draw-box-plot-with-matplotlib">Draw Box-Plot with matplotlib</a> that you don't have to calculate the values for a normal box plot. You just need to specify the data as a variable.
  Is it possible to do the same for my case instead of manually calculating the averages of the values of all the lists?</p>