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Stem and Leaf Plots. Definitions- Range. Range- The difference between the greatest and least numbers in a data set Data set: 23, 45, 60, 55, 80, 75, 15 Largest number: 80 Smallest number: 15 Difference: 80-15= 65. The Range. More on Range. - PowerPoint PPT Presentation
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Stem and Leaf Plots
Definitions- Range
Range- The difference between the greatest and least numbers in a data set
Data set: 23, 45, 60, 55, 80, 75, 15
Largest number: 80
Smallest number: 15
Difference: 80-15= 65
More on Range
Range is not a measure of central tendency.
It is a measure of variation…..it describes the spread of the data.
Stem and Leaf Plots
What is a stem and leaf plot? It is a way to represent specific data.
It organizes data so it can be analyzed visually and mathematically
When is it appropriate to use a stem and leaf plot?
When data can be grouped into intervals (stems) and the data values within the intervals can be plotted as the leaves.
Stem and Leaf Plots
Parts of stem and leaf plotsStemLeaf
Stem and Leaf Plots In a Stem and Leaf Plot, the data are
organized from least to greatest. The digits of the greatest place value usually form the Stems, the next place value of digits form the leaves.
Stem and Leaf Plots
How do we create them? We start with a data set All data should be in order from least
to greatest. Each stem and each leaf must be
represented. Always list the digit even if it is
repeated
Data set
Use the following data set to create a stem and leaf plot
19
6 7 10
11
13
18
25
21
12
5 12
20
21
11
12
Chick Weight (grams)
Stem and Leaf Plots
Step 1: Create the graph
Stem and Leaf Plots
Step 2: Choose the stems using digits in the tens place
19
6 7 10
11
13
18
25
21
12
5 12
20
21
11
12
What are the stems? (digits in the tens place)
0, 1, 2
The least value is 5, it has a 0 in the tens place
The greatest value is 25, it has a 2 in the tens place
Stem and Leaf Plots
Step 3: List the stems in order from least to greatest.
Stems: 0, 1, 2
0 12
Stem and Leaf Plots
Step 4: Order the leaves – least to greatest
19
6 7 10
11
13
18
25
21
12
5 12
20
21
11
12
0
1
2
5 6 7
0 1 1 2 2 2 3 8 9
0 1 1 5
Always write each leaf even if the data repeats
The tens digits form the stems
The ones digit
Forms the leavesAlways add a
Key: 1|2 = 12 g
Completing Graph
What do we always do before completing a graph?????????????
Making Inferences
When you analyze data, you can make inferences. That means, we can draw conclusions based on the data.
Making Inferences Find the mode ______ Find the range ______ Find the median _____
Stem Leaf
The stem and leaf plot shows the number of miles Jessie biked each day during the month of July.
0
1
2
3
5 5 6
0 0 0 0 1 2 2 5 8 8 9
1 2 5 8
0
Miles Jessie biked
2|1 = 21 miles
Analyzing Data
Stem Leaf
0
1
2
3
5 5 6
1 2 5 8
0
0 0 0 0 1 2 2 5 8 8 9
Miles Jessie biked
2|1 = 21 miles
What was the least number of miles Jessie biked in July? _______
What was the largest number of miles Jessie biked in July? _______
How many days did Jessie bike only 10 miles? ____
Making a stem and leaf plot
Use the data in the following table to create your own stem and leaf plot.
70 96 72 91
80 80 79 93
76 95 73 93
90 93 77 91
Quiz scores in Coach Bowen’s
Class
Make your own graph
Does it look like this?
Stem Leaf
7
8
9
0 2 3 6 7 9
0 0
0 1 1 3 3 3 5 6
Quiz scores in Coach Bowen’s Class
9|1= 91 on quiz
Answer the questions about your graph
What is the highest score on quiz? ____
What was the lowest score on quiz?____
What is the mode? ____ What is the median ____ What is the range of the quiz scores?
___
Question
Can we use stem and leaf plots to represent all data?
Conclusion: Stem and Leaf Plots
Are easy to read Are easy to create Great graph to display data Can not be used for all data sets