04 Analyzing and Comparing Dot Plots Visually and Numerically.pdf

Analyzing and Comparing Dot Plots Visually and Numerically SLIDESMANIA.COM  Work Plan Routines Multiplication Discussion; Wrap-Up Facts Seatwork...

Analyzing and Comparing Dot Plots Visually and Numerically SLIDESMANIA.COM  Work Plan Routines Multiplication Discussion; Wrap-Up Facts Seatwork SLIDESMANIA.COM  Part 1. Analyzing Dot Plots Example 1: People once used body parts for measurements. For example, an inch was the width of a man’s thumb. In the 12th century, King Henry I of England stated that a yard was the distance from his nose to his outstretched arm’s thumb. The dot plot shows the different lengths, in inches, of the “yards” for students in a 7th grade class. SLIDESMANIA.COM  Part 1. Analyzing Dot Plots Example 1: People once used body parts for measurements. For example, an inch was the width of a man’s thumb. In the 12th century, King Henry I of England stated that a yard was the distance from his nose to his outstretched arm’s thumb. 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 SLIDESMANIA.COM evenly distributed or grouped on one side?  Part 1. Analyzing Dot Plots Example 1: People once used body parts for measurements. For example, an inch was the width of a man’s thumb. In the 12th century, King Henry I of England stated that a yard was the distance from his nose to his outstretched arm’s thumb. The dot plot shows the different lengths, in inches, of the “yards” for students in a 7th grade class. Describe the center of the dot plot. What single SLIDESMANIA.COM dot would best represent the data?  Part 1. Analyzing Dot Plots Example 1: People once used body parts for measurements. For example, an inch was the width of a man’s thumb. In the 12th century, King Henry I of England stated that a yard was the distance from his nose to his outstretched arm’s thumb. The dot plot shows the different lengths, in inches, of the “yards” for students in a 7th grade class. Describe the spread of the dot plot. Are there SLIDESMANIA.COM any outliers?  Part 2. Comparing Dot Plots Visually Example 2: The dot plots show the heights of 15 high school basketball players and the heights of 15 high school softball players. Talking Points: SHAPES, CENTERS, and SPREAD SLIDESMANIA.COM  Part 2. Comparing Dot Plots Visually Example 2: The dot plots show the heights of 15 high school basketball players and the heights of 15 high school softball players. Visually compare the shapes of the dot plots. Softball: All the data is 5’6” or less. Basketball: Most of the data is 5’8” or greater. As a group, the softball players are shorter than the basketball SLIDESMANIA.COM players.  Part 2. Comparing Dot Plots Visually Example 2: The dot plots show the heights of 15 high school basketball players and the heights of 15 high school softball players. Visually compare the centers of the dot plots. Softball: The data is centered around 5’4”. Basketball: The data is centered around 5’8”. This means that the most common height for the softball players SLIDESMANIA.COM is 5 feet 4 inches, and for the basketball players 5 feet 8 inches.  Part 2. Comparing Dot Plots Visually Example 2: The dot plots show the heights of 15 high school basketball players and the heights of 15 high school softball players. Visually compare the spreads of the dot plots. Softball: The spread is from 4’11” to 5’6”. Basketball: The spread is from 5’2” to 6’0”. SLIDESMANIA.COM There is a greater spread in heights for the basketball players.  ACE: Avoid Common Errors Students may use the dot plot to make conclusions that are not valid. For example, the dot plot cannot be used to conclude that the basketball players are older than the softball players because they are taller. Caution students to only use the dot plot for information about the heights of the players. SLIDESMANIA.COM  Seatwork 1 Visually compare the dot plots of the scores for 25 science tests to the scores for 25 math tests. SLIDESMANIA.COM  Seatwork 1 Visually compare the dot plots of the scores for 25 science tests to the scores for 25 math tests. Science: The data is centered around 70. Math: The data is centered around 80. As a group, the science test scores are lower than the math test scores. Science: The spread is from 20 to 90. SLIDESMANIA.COM Math: The spread is from 30 to 100. The spread is the same: 70 points.  Wrap-Up ★ Survey Questions ★ IXL Target Skills SLIDESMANIA.COM  Analyzing and Comparing Dot Plots Visually and Numerically SLIDESMANIA.COM  Work Plan Routines Multiplication Discussion; Wrap-Up Facts Seatwork SLIDESMANIA.COM  Part 3. 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: Most of the data CENTER: Median SPREAD: Range with and without Outliers SLIDESMANIA.COM  Part 3. 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. A. Compare the shapes of the dot plots. Exercise: Most of the data is less than 4 hours. Video games: Most of the data is 6 hours or greater. SLIDESMANIA.COM  Part 3. 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. B. Compare the centers of the dot plots by finding the medians. Median for exercise: 2.5 hours. Even though there are outliers at 12 hours, most of the data is close to the median. Median for video games: 9 hours. Even though there is an outlier at 0 hours, these values SLIDESMANIA.COM do not seem to affect the median.  Part 3. 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. C. Compare the spreads of the dot plots by calculating the range. Exercise range with outlier: 12 - 0 = 12 hours Exercise range without outlier: 7 - 0 = 7 hours Video games range with outlier: 14 - 0 = 14 hours Video games range without SLIDESMANIA.COM outlier: 14 - 6 = 8 hours  Seatwork 2 Numerically compare the dot plots of the number of hours a class of students spends on homework to the number of hours they watch television each week. SLIDESMANIA.COM  Seatwork 2 Numerically compare the dot plots of the number of hours a class of students spends on homework to the number of hours they watch television each week. Shapes: Homework: Most of the data are 10 hours or greater. Television: Most of the data are 16 hours or greater. Centers: Homework: The median is 12 hours, with most of the data close to the median. Television: The median is 16 hours, and even though there is an outlier, that value does not affect the median. Spreads: Homework: The range is 14 hours. Television range with outlier: 20 hours. SLIDESMANIA.COM Television range without outlier: 10 hours. The outlier greatly affects the range.  Wrap-Up ★ In what ways can you compare data displayed in a pair of dot plots? You can compare the shapes, centers, and spread of the dot plots. You can also calculate the means and ranges of the dot plots and compare them. SLIDESMANIA.COM