6-5 Describing Distributions Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

6-5 Describing Distributions Warm Up Find the median of each data set 1. 9, 6, 14, 16, 5, 29, , 11, 2, 18, 7, 28, 83, , 6.4, 4.2, 5.5, 3.3,

6-5 Describing Distributions Problem of the Day The following set shows the ages of the nine incoming U.S. presidents inaugurated during the second half of the 20th century. 62, 43, 55, 46, 61, 52, 69, 67, 46 What is the median age? 55 years old What is the mode? 46 years old

6-5 Describing Distributions Learn describe and compare data distributions by their center, spread, and shape, using box-and-whisker plots or dot plots.

6-5 Describing Distributions Recall that a frequency distribution is a display that shows how many times data values fall into categories of quantity. Frequency distributions are categorized by their general shape. Skewed Normal Data are not symmetric about the center. Data are symmetric about the center. The measures of center may not be equal. The measures of center are equal. Shapes of a Distribution

6-5 Describing Distributions Additional Example 1: Displaying Distributions on Dot Plots A. The data set and dot plot display heart rate data. Describe the shape of the data distribution. 85, 84, 83, 82, 85, 80, 84, 90, 87, 85, 86, 88, 86, 85 The data is symmetrical about the center. It shows a normal shape of distribution.

6-5 Describing Distributions Continued: Example 1 B. The data set and dot plot display students’ quiz scores. Describe the shape of the data distribution. 10, 8, 7, 9, 10, 9, 9, 7, 8, 9, 6, 8 The data is skewed. The mean, median, and mode are varied.

6-5 Describing Distributions Check It Out: Example 1 The data set and dot plot display the number of miles Danny ran each day. Describe the shape of the data distribution. The data is skewed. The mean, median, and mode are varied.

6-5 Describing Distributions Additional Example 2: Displaying Distributions on Box-and-Whisker Plots A. The data set and box-and-whisker plot display the weights in kilograms of 12 cats. Describe the shape of the data distribution. 5, 2, 6, 4, 6, 3, 4, 9, 3, 5, 3, 4 The data is skewed. The mean, median, and mode are varied.

6-5 Describing Distributions Check It Out: Example 2 The data set and box-and-whisker plot display the number of pets that several students in Ms. Snow’s class own. Describe the shape of the data distribution. 9, 0, 4, 1, 1, 2, 3, 5, 2 The data is skewed. The mean, median, and mode are varied.

6-5 Describing Distributions Additional Example 3: Comparing Distributions using Box-and-Whisker Plots The box-and-whisker plots show the distribution of cars sold each day on two lots in a month. What conclusions can you make about the data? In general, more cars were sold each day in Lot A than in Lot B. The spread of the data is greater for Lot B, which means that there is more variation in the data. The number of cars sold in Lot A is more predictable than the number of cars sold in Lot B.

6-5 Describing Distributions Check It Out: Example 3 The box-and-whisker plots show the distribution of cars sold each day on two lots in a month. What conclusions can you make about the data? In general, more cars were sold each day in Lot B than in Lot A. The spread of the data is greater for Lot B, which means that there is more variation in the data. The number of cars sold in Lot A is more predictable than the number of cars sold in Lot B.

6-5 Describing Distributions Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

6-5 Describing Distributions Lesson Quiz 1. The data set and dot plot display the number of pets owned by 14 children. Describe the shape of the data distribution. skewed

6-5 Describing Distributions Continued Lesson Quiz 2. The data set and box-and-whisker plot display the number of seconds it takes 14 sports cars to reach a speed of 60 miles per hour. Describe the shape of the data distribution. normal

6-5 Describing Distributions 1. The dot plot displays the number of pets owned by14 children. Describe the shape of the data distribution. A. skewed B. normal Lesson Quiz For Student Response Systems

6-5 Describing Distributions 2. The box-and-whisker plot displays the number of songs 14 people downloaded per month. Describe the shape of the data distribution. A. skewed B. normal Continued: Lesson Quiz for Student Response Systems