Given stem-leaf diagram such as the following table:

Cumulative-Frequency Stem | Leaf

    v1            1   | 5 5 7
    v2            2   | 3 1 9

How to calculate $v_1$ and $v_2$?

What I am confused about is that the frequency is an attribute of a point, not a set of points so what does it mean to associate a single cumulative frequency to a set of points such as {15, 15, 17}?


1 Answer 1


The six observations are 15, 15, 17, 21, 23, 29. There are three in each group. I am not familiar with this particular notation, but I would guess that the line-by-line cumulative frequencies here are $v_1 = 3$ and $v_2 = 6.$

You should compare this exercise with any similar examples in your notes or text.

  • $\begingroup$ Thanks for you help. Unfortunately, I have no reference text for this, I just saw the question and I found that it did not make sense to me because it is valid to say that the value 15 has a frequency of 2, however the set {15,15,7} occurs 1 time and the stem leaf diagram leads to unique rows, so that the column will never have a value other than 1. How did you come up with the value v2=6 for instance please? Thanks again. $\endgroup$
    – NoChance
    Apr 27, 2017 at 21:48
  • 1
    $\begingroup$ It seems we're both guessing then. // I think the key word here is 'cumulative." In the first row we accumulate three counts and by the end of the second row we accumulate six. // The closest thing I've seen to this is that Minitab stemplots have some cumulative frequencies, and I'm trying to imitate that to the extent it applies here. $\endgroup$
    – BruceET
    Apr 27, 2017 at 21:56
  • $\begingroup$ OK, I see your point, I guess now it makes sense...I will research this more...My last statistics course was in 1983! $\endgroup$
    – NoChance
    Apr 27, 2017 at 21:58

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