Stem and Leaf Plots

Please view this tutorial and answer the follow-up questions on loose leaf to

turn in to your teacher.

Stem-and-Leaf Plot Basics

• A stem-and-leaf plot is a graphical representation of data where the ones digits are listed as “leaves” off the stem and the numbers to the left of the ones are listed in the “stems” column.

• The “leaves” are always listed in order from least to greatest.

Example

7  2 3 88  1 2 3 49  2 5 7 7 8 9 9

10  2 3 4 6 7 911  0 1 5 7

Stems Leaves

represents the number 72.

represents 110.

7  2

11  0Notice that the “leaves” are ordered from least to greatest!

Making a Stem-and-Leaf Plot

• Always organize your data from least to greatest! – An easy way to do this is to enter

your data into a list then hit STAT and 2:SortA(

Making a Stem-and-Leaf Plot6572606475497163606772858663

4960606363646567717272758586

Put your information in

order from least to greatest

Making a Stem-and-Leaf Plot4960606363646567717272758586

Decide on a starting value for your stems.

Since 49 is your lowest value, 4 would be a good choice for the first stem.

Since 86 is your highest value, continue your stems sequentially (counting by ones) up to 8.

4 5 6 7 8 

Making a Stem-and-Leaf Plot4960606363646567717272758586

Even though there is no value in the 50s, you still need to include the 5 in the stems!

4 5 6 7 8 

Making a Stem-and-Leaf Plot4960606363646567717272758586

Begin entering your data into the stem-and-leaf plot by placing the ones digits in the appropriate leaf.

4  95 6  0 0 3 3 4 5 77 8 

4 5 6 7 8 

Making a Stem-and-Leaf Plot4960606363646567717272758586

There are no leaves in the 5 row because there are no values in the 50s. Do NOT put a zero if there are no numbers in a row!

There are two 0’s in the 6 row because there are two values of 60 in our data set.

There are two 3’s in the 6 row because there are two values of 63 in the data set.

4  95 6  0 0 3 3 4 5 77 8 

Making a Stem-and-Leaf Plot4960606363646567717272758586

Complete the stem- and-leaf plot by filling in the leaves using the remaining information.

4  95 6  0 0 3 3 4 5 77 8 

Making a Stem-and-Leaf Plot4960606363646567717272758586

You should have gotten the stem-and-leaf plot on the right.

4  95 6  0 0 3 3 4 5 77  1 2 2 58  5 6

Follow-Up Questions

The following are player’s ages from a soccer team:

33, 28, 32, 27, 27, 24, 26, 24, 19, 30, 42, 31, 30, 24, 29, 23, 30

1) Construct a stem and leaf plot of the data above. Please submit the stem and leaf plot to your teacher. It does not need to be submitted

on the wikispace.

(Note: Do not click to move on to the next slide until you finish this question.)

Follow-Up Questions

Using the stem and leaf plot above, answer the following questions. Submit these answers on the Wikispace.

2) Why are there the three fives after the 9’s stem?3) What does the six after the 12’s stem mean?4) Why is there a blank space in the 7’s stem?

6 4 6 8 7 8 0 2 2 3 4 5 8 9 4 5 5 5 6 9 9 910 0 1 1 2 3 311 3 7 812 6