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Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. Do Now Find the mean, median, mode and range of the data set 1.) 2.). Objective:. SWBAT determine the effect of additional data and outliers. Vocabulary. outlier.

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Warm Up

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  1. Warm Up Problem of the Day Lesson Presentation Lesson Quizzes

  2. Do Now Find the mean, median, mode and range of the data set 1.) 2.)

  3. Objective: SWBAT determine the effect of additional data and outliers.

  4. Vocabulary outlier

  5. The mean, median, and mode may change when you add data to a data set.

  6. CHS Football Games Won Year 1998 1999 2000 2001 2002 Games 11 5 7 5 7 Ex. 1: Sports Application A. Find the mean, median, and mode of the data in the table. mean = 7 modes = 5, 7 median = 7 B. CHS also won 13 games in 1997 and 8 games in 1996. Add this data to the data in the table and find the mean, median, and mode. mean = 8 modes = 5, 7 median = 7 The mean increased by 1, the modes remained the same, and the median remained the same.

  7. CMS Basketball Games Won Year 1998 1999 2000 2001 2002 Games 13 6 4 6 11 TOYO 1 A. Find the mean, median, and mode of the data in the table. B. CMS also won 15 games in 1997 and 8 games in 1996. Add this data to the data in the table and find the mean, median, and mode.

  8. Class Activity In your groups collect the following data and write it down: • Everyone’s sneaker size • Everyone’s age in months Calculate the mean, median, and mode of your groups data for each one.

  9. Now, add Ms. Turant’s data to the data set and recalculate the mean, median, and mode. Sneaker Size: Age in months: 8.5 280 months

  10. An outlier is a value in a set that is very different from the other values.

  11. Helpful Hint Ms. Young’s age is an outlier because she is much younger than the others in the group. Ex. 2: Application Ms. Young is 25 years old. She took a class with students who were 55, 52, 59, 61, 63, and 58 years old. Find the mean, median, and mode with and without Ms. Young’s age. Data with Ms. Young’s age: mean ≈ 53.3 no mode median = 58 Data without Ms. Young’s age: mean = 58 no mode median = 58.5 When you add Ms. Gray’s age, the mean decreases by about 4.7, the mode stays the same, and the median decreases by 0.5. The mean is the most affected by the outlier. The median t is closer to most of the students’ ages.

  12. TOYO 2 Mrs. Wrinkle is 56 years old. She volunteered to work with people who were 25, 22, 27, 24, 26, and 23 years old. Find the mean, median, and mode with and without Mrs. Wrinkle’s age. Data with Mrs. Wrinkle’s age: mean = 29 no mode median = 25 Data without Mrs. Wrinkle’s age: mean = 24.5 no mode median = 24.5 When you add Mrs. Wrinkle’s age, the mean increases by 4.5, the mode stays the same, and the median increases by 0.5. The mean is the most affected by the outlier. The median is closer to most of the students’ ages.

  13. Ex. 3: Outliers Calculate the mean, median, and mode with and without the outlier. 1.) 11, 12, 16, 9, 16, 32

  14. TOYO 3 Calculate the mean, median, and mode with and without the outlier. 1.) 50, 48, 49, 53, 20

  15. Ex. 4: Describing a Data Set The Yorks are shopping for skates. They found 8 pairs of skates with the following prices: $35, $42, $75, $40, $47, $34, $45, $40 What are the mean, median, and mode of this data set? Which statistic best describes the data set? Mean: 35 + 42 + 75 + 40 + 47 + 34 + 45 + 40 358 8 = = 44.75 8 The mean is $44.75. The mean is higher than most of the prices because of the $75 skates.

  16. Ex. 4 Continued The Yorks are shopping for skates. They found 8 pairs of skates with the following prices: $35, $42, $75, $40, $47, $34, $45, $40 What are the mean, median, and mode of this data set? Which statistic best describes the data set? mode: The value $40 occurs 2 times, and is more than any other value. The mode is $40. The mode represents only 2 of the 8 values. The mode does not describe the entire data set.

  17. Ex. 4 Continued The Yorks are shopping for skates. They found 8 pairs of skates with the following prices: $35, $42, $75, $40, $47, $34, $45, $40 What are the mean, median, and mode of this data set? Which statistic best describes the data set? Median: 34, 35, 40, 40, 42, 45, 47, 75 40 + 42 2 82 2 = 41 The median is $41. = The median price is the best description of the prices. Most of the skates cost about $41.

  18. TOYO 4 The passengers in a van are 16, 19, 17, 18, 15, 14, 32, 32, and 41 years old. What are the mean, median, and mode of this data set? Which one best describes the data set?

  19. Some data sets, such as {red, blue, green}, do not contain numbers. In this case, the only way to describe the data set is with the mode.

  20. Lesson Quizzes Standard Lesson Quiz Lesson Quiz for Student Response Systems

  21. Exit Ticket At the college bookstore, your brother buys 6 textbooks at the following prices: $21, $58, $68, $125, $36, and $140. 1. Find the mean. 2. Find the median. 3. Find the mode. 4. Your brother signs up for an additional class, and the textbook costs $225. Recalculate the mean, including the extra book. $74.67 $63 none $96.14

  22. Lesson Quiz for Student Response Systems 1. The weights of 7 members of a family are 48 kg, 52 kg, 63 kg, 75 kg, 52 kg, 64 kg, and 67 kg. Identify the median. A. 48 kg B. 52 kg C. 63 kg D. 75 kg

  23. Lesson Quiz for Student Response Systems 2. The heights of seven dogs at a vet are 17 inches, 14 inches, 13 inches, 21 inches, 17 inches, 15 inches, and 22 inches. Identify the mode. A. 17 in. B. 16 in. C. 15 in. D. none

  24. Lesson Quiz for Student Response Systems 3. Lopez buys 5 collectibles at the following prices: $15, $12, $15, $13 and $16. He then buys another collectible at $75. Identify the mean with and without the sixth collectible. A. $24.33; $14.20 B. $14.20; $13.83 C. $14.20; $12.64 D. $24.33; $29.20

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