Can help you compare data.
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• Can help you compare data. • A convenient method to display every piece of data by showing the digits of each number.
description
Statistics: Stem-and-Leaf Plots. Can help you compare data. A convenient method to display every piece of data by showing the digits of each number. Statistics: Stem-and-Leaf Plots. Leaf: The last digit on the right of the number. - PowerPoint PPT Presentation
Transcript of Can help you compare data.
• Can help you compare data.• A convenient method to display every piece of
data by showing the digits of each number.
28 4
StemLeaf
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 284
The 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 81
Stem LeafNotice that the data (numerical facts) are numbers between 57-98. Create the stem by listing numbers from 5-9.
Notice that the data (numerical facts) are numbers between 57-98. Create the stem by listing numbers from 5-9.
5
6
7
8
9
6 9
5
8
7 4
2 1
5
3 0
2
5
8
3
8
2
7
0
1
Stem Leaf
5
6
7
8
9
7 7 8 0 3
0 2 5 5 6 9
1 1 2 3 5
2 4 7 8
Rearrange the leaf in numerical order from least to greatest
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.
Notice that the data (numerical facts) are numbers between 57-98. Create the stem by listing numbers from 5-9.
5
6
7
8
9
9 0
8
7
8 7
5 2
7
0 5
1
7
9
3
9
2
8
5
5
Stem Leaf5
6
7
8
9
7 8 9 0 2 5 5 9
0 3 5 7 7 9
1 2 5 8
7 8
Rearrange the leaf in numerical order from least to greatest
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 15
6
7
8
9
7 8 9
0 2 5 5 9
0 3 5 7 7 9
1 2 5 8
7 8
Stem Leaf - Period 25
6
7
8
9
7 7 8
0 3
0 2 5 5 6 9
1 1 2 3 5
2 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.
Notice that the data (numerical facts) are numbers between 42-69. Create the stem by listing numbers from 4-6.
4
5
6
9
07
9
1
77 7 1
6
68
8
4 42
8
41
0
7
45
2
1 6 15 4 1
5 0
3
5 6
2
2
1 9 4
2 3 6 7 8 9 9
0 0 1 1 1 1 2 2 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8
0 1 1 1 2 4 4 5 8 9
Stem Leaf
4
5
6
Rearrange the leaf in numerical order from least to greatest
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 9
0 0 1 1 1 1 2 2 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8
0 1 1 1 2 4 4 5 8 9
StemLeaf: Age of United States Presidents at their First Inauguration (through the 40th Presidency)
4
5
6
Rearrange the leaf in numerical order from least to greatest
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?
2323
4242
6969
77
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 Leaves
2 5
3
4
5 5
6 4 9
7 0 5
8 2 2 8
9 9
10
11
12 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)
