21 Questions
What is the primary focus of Part 3 of the lesson plan?
Numerically comparing dot plots
What is the median typically used to measure in a dot plot?
The center of the data
What is used to measure the spread of the data in a dot plot?
The range
What is the purpose of comparing the shapes of dot plots?
To visually analyze the data
What is the difference between the highest and lowest values in the softball players' heights?
9 inches
In Example 3, what is being compared numerically?
The number of hours spent exercising and playing video games
What is the main caution when using dot plots to make conclusions?
Dot plots should not be used to make conclusions about age or other variables
What is an outlier in the context of a dot plot?
A data point that is far from the median
What is the difference between the centers of the science and math test scores?
10 points
What is the purpose of calculating the median in a dot plot?
To find the center of the data
What is being compared in Example 3 of the lesson plan?
The number of hours spent exercising and playing video games
What can be visually compared between the two dot plots of the science and math test scores?
The center and spread of each group
What is the main difference between the heights of the basketball players and the softball players?
The basketball players have a greater spread in heights
What can be inferred about the shape of the dot plot?
The dots are grouped on one side.
What is the main purpose of analyzing the dot plot?
To visualize the distribution of the data.
How would you describe the center of the dot plot?
It is clustered in the middle.
What is the unit of measurement in the dot plot?
Inches
What can be compared using the dot plot?
The minimum and maximum values.
What is an outlier in the context of the dot plot?
A value that is farthest from the median.
What is the main advantage of using a dot plot?
It provides a visual representation of the data.
What is the historical context of the measurement system described?
The system was developed in the 12th century in England.
Study Notes
Comparing Dot Plots Visually
- The dot plots show the heights of 15 high school basketball players and 15 high school softball players.
- The spread of heights for basketball players is from 5'2" to 6'0", and for softball players, it's from 4'11" to 5'6".
- There is a greater spread in heights for the basketball players.
Avoid Common Errors
- Do not use the dot plot to make conclusions that are not valid, such as concluding that basketball players are older than softball players because they are taller.
- Only use the dot plot for information about the heights of the players.
Seatwork 1: Comparing Scores
- Visually compare the dot plots of scores for 25 science tests and 25 math tests.
- Science test scores are centered around 70, and math test scores are centered around 80.
- Science test scores are lower than math test scores.
- The spread of science test scores is from 20 to 90, and the spread of math test scores is from 30 to 100.
- The spread is the same, 70 points, for both tests.
Analyzing and Comparing Dot Plots Numerically
- Example 3: Numerically compare the dot plots of the number of hours a class of students exercises each week to the number of hours they play video games each week.
- Talking Points: SHAPE, CENTER, SPREAD with and without outliers.
Part 1. Analyzing Dot Plots
- Example 1: The dot plot shows the different lengths, in inches, of the "yards" for students in a 7th-grade class.
- Describe the shape of the dot plot: Are the dots evenly distributed or grouped on one side?
- Describe the center of the dot plot.
Visually compare the spreads of dot plots showing the heights of high school basketball and softball players. Identify which group has a greater spread in heights.
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