T5
Describe the distribution of a data set
SP.5 a, c, d
Lesson 1
The purpose of displaying data using a line plot, histogram, or box plot is so you can SEE the data visually. When you have a long list of numbers, it is hard to make sense of what is happening.
Once we have a line plot, histogram, or box plot; it is much easier to describe (make sense) the data. We can:
A. Identify trends and understand patterns
B. Predict the likelihood of seeing a value or range of values in the future
C. Make informed (more intelligent) decisions
Describe the shape of the data distributions.
Here are a list of common descriptions: "The data ..."
"is centered at... " or "has a cluster at..."
"has gaps at... " or "has peaks at... "
"is symmetric" or "is not symmetric"
"is skewed to the right (or left)"
"has a min of... and max of... which means a range of.... "
"has x values"
* I printed the list for you to glue into your math notebook
Direct Instruction
Notes
Vocabulary words and phrases for describing the distribution of a data set:
Cluster: where the data is grouped close together
Gap: a gap in the data where there are no values
Peak: most frequently occurring value (Bimodal data has two distinct peaks)
Range: how far apart the data points in a distribution are from each other. * The range is one way to describe the variability of the data
Shape: The overall pattern of the data, which can be symmetric (evenly balanced, like a bell curve) or skewed
Direct Instruction
Notes
Skewed data is data that isn't spread out evenly, creating a "tail" or slant on one side when you look at the display.
- Left Skew (Negatively Skewed): The tail of the graph points to the left.
- Right Skew (Positively Skewed): The tail of the graph points to the right.
Use the sentence starters and vocabulary words to describe the distributions.
My Responsibilities
Due 8/29
1. Glue the sentence starters and vocabulary into your notebook.
2. CYUqs → Use your sentence starters and vocabulary to describe each of the data sets. Do in your notebook. You chose where you want to start. Check answers as you’re working. If you make a mistake, fix it. If you need help, get help. If someone else needs help, give help.
p897: 9, 10, 12a, 12b; p895: 1, 2; p894: 2 (Volume 2)
3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search
Lesson 2
Lesson 3
After completing the Check-your-understanding Questions, which were important for everyone to do?
Uniform Distribution vs Symmetric Distribution
Use the sentence starters and vocabulary words to describe the distributions.
Lesson 1
The purpose of displaying data using a line plot, histogram, or box plot is so you can SEE the data visually. When you have a long list of numbers, it is hard to make sense of what is happening.
Once we have a line plot, histogram, or box plot; it is much easier to describe (make sense) the data. We can:
A. Identify trends and understand patterns
B. Predict the likelihood of seeing a value or range of values in the future
C. Make informed (more intelligent) decisions
Describe the shape of the data distributions.
Here are a list of common descriptions: "The data ..."
"is centered at... " or "has a cluster at..."
"has gaps at... " or "has peaks at... "
"is symmetric" or "is not symmetric"
"is skewed to the right (or left)"
"has a min of... and max of... which means a range of.... "
"has x values"
* I printed the list for you to glue into your math notebook
Direct Instruction
Notes
Vocabulary words and phrases for describing the distribution of a data set:
Cluster: where the data is grouped close together
Gap: a gap in the data where there are no values
Peak: most frequently occurring value (Bimodal data has two distinct peaks)
Range: how far apart the data points in a distribution are from each other. * The range is one way to describe the variability of the data
Shape: The overall pattern of the data, which can be symmetric (evenly balanced, like a bell curve) or skewed
Direct Instruction
Notes
Skewed data is data that isn't spread out evenly, creating a "tail" or slant on one side when you look at the display.
- Left Skew (Negatively Skewed): The tail of the graph points to the left.
- Right Skew (Positively Skewed): The tail of the graph points to the right.
Use the sentence starters and vocabulary words to describe the distributions.
My Responsibilities
Due 8/29
1. Glue the sentence starters and vocabulary into your notebook.
2. CYUqs → Use your sentence starters and vocabulary to describe each of the data sets. Do in your notebook. You chose where you want to start. Check answers as you’re working. If you make a mistake, fix it. If you need help, get help. If someone else needs help, give help.
p897: 9, 10, 12a, 12b; p895: 1, 2; p894: 2 (Volume 2)
3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search
Lesson 2
Lesson 3
After completing the Check-your-understanding Questions, which were important for everyone to do?
Uniform Distribution vs Symmetric Distribution
Use the sentence starters and vocabulary words to describe the distributions.