stem and leaf

Stem and Leaf

A stem-and-leaf plot can help you compare data.

Stem and Leaf

• A stem-and-leaf plot is a table that represents a group of numbers. (data)

• The leaves represents numbers in the ones place. • The stems represents numbers in the tens and

hundreds places. • In a stem and leaf plot, you don’t skip numbers in

the stems. • If there is no leaf for a stem, then you leave it

blank.

Drawing a Stem and Leaf Plot

Draw an ordered stem-and-leaf plot for the following data for the price of tennis shoes. Make sure the graph is properly labeled.

Drawing a Stem and Leaf Plot

PRICES OF TENNIS SHOES:

82, 69, 25, 55, 75, 88, 99, 64, 82, 125, 70

Drawing a Stem and Leaf PlotPRICES OF TENNIS SHOES:

82, 69, 25, 55, 75, 88, 99, 64, 82, 125, 70

Our first step is to write the numbers in order from least to greatest.

Drawing a Stem and Leaf Plot

Our next step is to draw a table with two columns -- one for

stems and one for leaves

PRICES OF TENNIS SHOES:

25, 55, 64, 69, 70, 75, 82, 82, 88, 99, 125

Drawing a Stem and Leaf PlotPRICES OF TENNIS SHOES:

25, 55, 64, 69, 70, 75, 82, 82, 88, 99, 125Stems LeavesOur next step is to fill in the

table.

Remember the stem represents the numbers in the tens and

hundreds places and the leaves represent the numbers in the

ones place

PRICES OF TENNIS SHOES:Stems Leaves2 534 5 56 4 97 0 58 2 2 89 9101112 5

This is the correct way to draw the stem and leaf plot for our data.

Let’s try another one…

The heights of 11 fourth-grade badminton players are (in inches):

• 56• 61• 61• 60• 59• 57

• 58• 58• 63• 61• 59

First, order your data from least to greatest.

• 56• 57• 58• 58• 59• 59

• 60• 61• 61• 61• 63

Then, put your data in a stem-and-leaf plot.

The ordered numbers are: 56, 57, 58, 58, 59, 59, 60, 61, 61, 61, 63

• Each STEM stands for the first digit of each number.

• Record the tens digits in order from least to greatest.

HEIGHT IN INCHES Stem Leaves 5 6

6, 7, 8, 8, 9, 90, 1, 1, 1, 3

The ordered numbers are: 56, 57, 58, 58, 59, 59, 60, 61, 61, 61, 63

• Each LEAF stands for the second digit of each number.

• Record the ones digits in order from least to greatest.

HEIGHT IN INCHES Stem Leaves 5 6

6, 7, 8, 8, 9, 90, 1, 1, 1, 3

You can use a stem-and-leaf plot to find the median and the mode.

MEDIANFind the middle

number in a set of numbers.

The median is 59 inches.

MODEFind the number that

occurs most often in a set of numbers.

The mode is 61 inches.

HEIGHT IN INCHES Stem Leaves 5 6

6, 7, 8, 8, 9, 90, 1, 1, 1, 3

Now, let’s try one on our own!

Here are the scores of our volleyball games in a stem-and-leaf plot!

Volleyball Scores for Our Team

Stem Leaves

0 5, 6, 7, 9

1 3, 5, 5, 5, 6

9

How many volleyball games were played?

Stem Leaves 0 5, 6, 7, 9 1 3, 5, 5, 5, 6

What are the scores?

5, 6, 7, 9, 13, 15, 15, 15, 16

Stem Leaves 0 5, 6, 7, 9 1 3, 5, 5, 5, 6

What is the median?

13

Stem Leaves 0 5, 6, 7, 9 1 3, 5, 5, 5, 6

What is the mode?

15

Stem Leaves 0 5, 6, 7, 9 1 3, 5, 5, 5, 6

Congratulations, you are on the way to being a stem-and-leaf expert!!

The heights of 11 fourth-grade badminton players are (in inches):

• 56• 61• 61• 60• 59• 57

• 58• 58• 63• 61• 59

ASSIGNMENT

• Complete problems on page 306-307 # 1-17