can help you compare data. a convenient method to display every piece of data by showing the digits...

• Can help you compare data.• A convenient method to display every piece of

data by showing the digits of each number.

28 4Stem

Leaf

Leaf: The last digit on the right of the number.

Stem: The digit or digits that remain when the leaf is dropped.Look at the number 284The leaf is the last digit formed: the number 4.The stem is the remaining digits when the leaf is dropped: the number 28.The stem with the leaf forms the number 284.

= 284

Here are the scores from two periods of math class. Students took the same test.Period 1: 77 79 85 58 97 94 82 81 75 63 60 92 75 98 83 58 72 57 70 81 Period 2: 57 60 88 85 79 70 65 98 97 59 58 65 62 77 77 75 73 69 82 81

Period 1: 76 79 85 58 97 94 82 81 75 63 60 92 75 98 83 58 72 57 70 81Stem Leaf

Notice that the data (numerical facts) are numbers between 57-98. Create the stem by listing numbers from 5-9.

56789

6 95

8

7 42 1

53 0

2

5

83

8

2

7

01

Stem Leaf56789

7 7 8 0 30 2 5 5 6 91 1 2 3 52 4 7 8

Rearrange the leaf in numerical order from least to greatest

Period 2: 57 60 88 85 79 70 65 98 97 59 58 65 62 77 77 75 73 69 82 81

Stem Leaf

Notice that the data (numerical facts) are numbers between 57-98. Create the stem by listing numbers from 5-9.

56789

9 08

7

8 75 2

70 5

179

3

92

85

5

Stem Leaf56789

7 8 9 0 2 5 5 90 3 5 7 7 91 2 5 87 8

Rearrange the leaf in numerical order from least to greatest

Both classes are very similar in test scores. Overall period 1 scored better. The lowest grade was a 57 in both classes. The highest score was a 98 in both classes. The median score for the 20 test scores from period 1 is between a 76 and 79. The median test score for period 2 is between a 73 and 75. Both distributions are symmetric.Both have the highest peak within the 70-79 interval.There are no outliers in either period.Stem Leaf - Period 1

56789

7 8 90 2 5 5 90 3 5 7 7 91 2 5 87 8

Stem Leaf - Period 256789

7 7 80 3

0 2 5 5 6 91 1 2 3 52 4 7 8

Age of United states Presidents at their First Inauguration: 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 50 47 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 (Through the 40th presidency)

Stem LeafNotice that the data (numerical facts) are numbers between 42-69. Create the stem by listing numbers from 4-6.

456

907

9

177 7 1

668

84 42

8

410

745

21 6 15 4 1

5 0

35 6

22

1 9 4

2 3 6 7 8 9 90 0 1 1 1 1 2 2 4 4 4 4 5 5 5 6 6 6 7 7 7 7 80 1 1 1 2 4 4 5 8 9

Stem Leaf

456

Rearrange the leaf in numerical order from least to greatest

Age of United states Presidents at their First Inauguration: 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 50 47 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 (Through the 40th presidency)

2 3 6 7 8 9 90 0 1 1 1 1 2 2 4 4 4 4 5 5 5 6 6 6 7 7 7 7 80 1 1 1 2 4 4 5 8 9

StemLeaf: Age of United States Presidents at their First Inauguration (through the 40th Presidency)

456

Rearrange the leaf in numerical order from least to greatest

It is easy to interpret or analyze information from the Stem-and-Leaf.

1. How many presidents were 51 years old at their inauguration?

2. What age is the youngest president to be inaugurated?

3. What is the age of the oldest president to be inaugurated?

4. How many presidents were 40-49 years old at their inauguration?

2342

69

7

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 Plot

PRICES 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 Plot

PRICES 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

• 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 (stems 3, 4, 10, 11)