SOLUTION: A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages. 68,49,47,38,52,47,49,24,57,69,55,49,69, 65,55,49,

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Question 1201748: A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
68,49,47,38,52,47,49,24,57,69,55,49,69,
65,55,49,57,27,33,65,49,30,35,48,34,27,46
64,33,38,40,21,33,47,38,31,56

Construct a​ stem-and-leaf plot for the data.
Stem Leaves
2 enter your response here

Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.

Valuable instructions on how to do it in Excel see in this web-page

https://www.statology.org/stem-and-leaf-plot-excel/


        After reading these instructions,  you will be ready to solve this problem
        and many other similar problems  ON  YOUR  OWN,

        which is your primary goal of visiting this forum  (which I believe and want to hope).



Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

You listed 37 values instead of 40.

The stem-and-leaf plot will consist of two columns: a stem on the left, and leaf on the right.

The stems in this case will be the tens place value.
The possible stems are: 2, 3, 4, 5, 6

First we need to sort the data
Original data set
{
68,49,47,38,52,47,49,24,57,69,55,49,69,
65,55,49,57,27,33,65,49,30,35,48,34,27,46,
64,33,38,40,21,33,47,38,31,56
}

Sorted data set
{
21,24,27,27,30,
31,33,33,33,34,
35,38,38,38,40,
46,47,47,47,48,
49,49,49,49,49,
52,55,55,56,57,
57,64,65,65,68,
69,69
}

We can rearrange things so that each new stem gets its own line
{
21,24,27,27,
30,31,33,33,33,34,35,38,38,38,
40,46,47,47,47,48,49,49,49,49,49,
52,55,55,56,57,57,
64,65,65,68,69,69
}

Erase each tens digit and erase each comma
1477
0133345888
06777899999
255677
4558969

That represents the leaf values to be placed in the 2nd column of the stem-and-leaf plot.
The stems will be the tens digits we erased.
stemleaf
21477
30133345888
406777899999
5255677
64558969

This is another slightly different way to write out the table.


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