Emacs commands to calculate sum, average, etc. of region

Suppose I have highlighted a region of text in a buffer. The region contains numbers separated by whitespace. E.g.

1 19 23 28 41

Is there some package with ready-made interactive commands that parse the numbers from this region and do common calculations like sum and average, similar to what spreadsheet programs show in their status bar? Something like:

• M-x sum-region => 112 shown in minibuffer
• M-x average-region => 22.4 shown in minibuffer

or a combined command to do different calculations at once, or a modeline display.

I suppose org-mode has spreadsheet functions like this, but can they be used easily if you're not already working with an org spreadsheet? Does calc have functions that operate on region?