Questions and Answers
What does the stem represent in a stem and leaf plot?
What is the minimum value in the first stem and leaf plot?
How many students ran the 100-yard dash in the second example?
What is the most common time in the 100-yard dash example?
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What is the shape of the data in the 100-yard dash example?
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What does the treatment seem to have achieved in the pain scale example?
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What is the mode of the before treatment pain scale?
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What is the maximum value in the first stem and leaf plot?
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What is the minimum score in the pain scale example?
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What is the purpose of a stem and leaf plot?
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Study Notes
Stem and Leaf Plot Explained
- A stem and leaf plot is a type of graph used to quickly visualize and analyze a dataset of numbers.
- It is similar to a histogram, but allows observation of actual numbers, and is plotted horizontally instead of vertically.
- In a stem and leaf plot, the stem represents the major groupings of numbers (typically the first digits), and the leaf represents the individual numbers attached to each stem (typically the last digit).
- A key is necessary to determine what placement the stem and leaves represent.
Creating a Stem and Leaf Plot
- Organize the data from smallest to largest.
- Decide on placements for leaf and stem (e.g., leaf represents the ten's place and stem represents the one's place).
- List all stems (from smallest to largest), including those with no leaves attached.
- List all leaves in the appropriate stem row (from smallest to largest).
- Show the stem and leaf plot key.
Reading a Stem and Leaf Plot
- Determine what the key is saying.
- Determine if any digit placements are not shown in the stem and leaf plot.
- Determine the placement of the digits in the stem and leaf plot.
- Answer questions, such as:
- What is the mode?
- What is the shape of the data?
- What is the most common grouping of numbers in the data set?
- What is the least common grouping of numbers in the data set?
- How many data points are in the data set?
- What are the maximum and minimum data points?
Examples of Reading a Stem and Leaf Plot
- Example 1: Analyzing the number of weeds in each plot.
- Example 2: Analyzing the times for each student in the 100-yard dash.
- Example 3: Comparing two data sets (before and after treatment) to determine if the treatment was effective.
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Description
Understand stem and leaf plots, a type of graph to quickly analyze a set of numbers, including how it differs from histograms.
