could someone explain the stem an leaf plot?

- hihi67

could someone explain the stem an leaf plot?

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- anonymous

a stem-and-leaf plot has several purposes including:
1) display large group of numbers
2) demonstrate the distribution of a sample of numbers

- hihi67

okay... yah. and so i know like what it is sort of and how you write it and stuff. but what i don't get is that so for example you have this data:
17,7
13,3
14,5
17,2 and soooo forth. what do those numbers mean.. an example?
thanks !

- anonymous

Given the numbers:
14, 15, 16, 24, 24, 24, 24, 26, 33, 36, 37, 31, 62
the stem-and-leaf plot would look like
|dw:1327153341118:dw|

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- hihi67

yes, i get that. but cool diagram! so could that plot be like the points out of 70 on a test, or something?

- anonymous

The numbers on the left side represent the first digit
tens, twenty's, thirty's, forty's .... .and so on
the numbers on the right side represent the second digits
like "4" in fourteen and "2" in sixty-two

- hihi67

i get that... however in my book they write 17, 7 and 13,3 or 14,5 and 17,2....what does that mean?

- anonymous

Notice that in my stem-and-leaf plot that I did not have to write as many digits as I did when I listed the numbers in my second post; thus, a stem-and-leaf plot saves space. Secondly, it shows the distribution, notice that 62 is much BIGGER than all the other numbers. 62 is an outlier.

- hihi67

okay.

- anonymous

My plot could be for a test, but this would mean that most students failed. A better example, maybe this refers to students in a college class. We have some young fourteen year olds in the class, but we also have one senior citizen.

- hihi67

okay. yah probably better example. but could you answer the question i asked:
in my book they write 17, 7 and 13,3 or 14,5 and 17,2....what does that mean?

- anonymous

I might need to see a picture of
17, 7 and 13,3 or 14,5 and 17,2
I am guessing that
17,7 means 177
13,3 means 133
14, 5 means 145
17,2 means 172
|dw:1327153718794:dw|

- hihi67

okay. haha

- anonymous

makes sense?

- hihi67

just a min.

- anonymous

a thing to note about the stem and leaf.... if you look at it the right way it resembles the shape of the histogram

- hihi67

okay, so in my book, (for the seventeens) there is 17,7 17,2 and 17,0.

- hihi67

and this is what the plot looks like

- hihi67

|dw:1327154085787:dw|

- hihi67

the arrows just mean other numbers

- anonymous

Nice, these numbers in the plot represent
132, 133, 170, 172 and 177
Please note that this stem plot also needs to have
14, 15 and 16 on the left-side, you might have left it out for the ease of having to draw all of it. 14, 15, and 16 need to be included to create the histogram that agdg mentioned ...

- anonymous

excellent job with the arrows! :)

- hihi67

okay. and the arrows were a masterpiece. i totally agree. however, lets say there is nothing with fourteen. you couldn't write a 0, cause that would be 140. right? would you just leave it blank?

- anonymous

correct, for example
|dw:1327154327839:dw|

- hihi67

wait.. but if just the 14 were blank it would be....

- hihi67

|dw:1327154457877:dw|

- hihi67

this?

- anonymous

correct!

- hihi67

and... on the stem and leaf plot do the numbers on the left go in numerical order?

- anonymous

on the left, yes
on the right, depends on the teacher, technically yes

- hihi67

okay, tthanks soooo much!!!!!

- anonymous

welcome! Enjoy!!

- hihi67

okay, i will...i hope! haha bye, thanks!

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