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Warm Up

Warm Up. Problem of the Day. Lesson Presentation. Lesson Quizzes. Do Now Find the mean and median of each data set. 1. 14,24,12,20,15,22,12. 2. 7,3,16,9,15,6. Objective:. SWBAT calculate, interpret, and compare measures of variation in a data set. Vocabulary. box-and-whisker plot

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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 and median of each data set. 1. 14,24,12,20,15,22,12 2. 7,3,16,9,15,6

  3. Objective: SWBATcalculate, interpret, and compare measures of variation in a data set.

  4. Vocabulary box-and-whisker plot quartiles variation inter-quartile range (IQR)

  5. You can display data using a box-and-whisker plot. • A box-and-whisker plot or box plot is a datadisplay that shows how data is distributed using the 5-point summary. • Quartiles are three values that divide a data set into fourths. Each quartile contains one-fourth (25%) of the data. The median is considered the 2nd quartile. A box-and-whisker plot can be used to show how the values in a data set are distributed. Variation (variability) is the spread of the values.

  6. First, you must identify the 5 point summary. 1.) Is the data in numerical order? 2.) What are the least and greatest values? 3.) What is the median and two sections of data? 4.) What is the 1st and 3rd Quartile? Least: Greatest: Median: 1st Q: 3rd Q: 7 13 x x x x x x x x 10 9 11.5 5 Point Summary

  7. Ex. 1 Find the 5-Point Summary of the following data sets: 5, 7, 8, 2, 0, 9, 4 Least: Greatest: Median: 1st Q: 3rd Q:

  8. TOYO 1 Find the 5-Point Summary of the following data sets: A.) 4, 1, 12, 1, 6, 7, 2, 9, 10 B.) 3, 9, 11, 2, 5, 3, 6, 11 Least: Greatest: Median: 1st Q: 3rd Q:

  9. Do Now Find the 5-Point Summary of the following data sets: 1.) 12, 14, 14, 12, 16, 13, 11, 14, 18 2.) 32, 34, 36, 37, 36, 37, 38, 37 Least: Greatest: Median: 1st Q: 3rd Q:

  10. Page 6 Draw a number line Plot a point for each value in the 5 point-summary Draw a box through the 1st and 3rd quartile Draw a vertical line through the median Draw lines from the box to the least and greatest values (Those are the whiskers) Least: Greatest: Median: 1st Q: 3rd Q: 7 13 10 9 11.5 7 8 9 10 11 12 13 Box-and-Whisker Plot Pg. 6

  11. Ex. 2: Box-and-Whisker Plot The average number of hours that several students watch television in a day is given. Plot a Box-and-Whisker plot to display the data: 2, 1, 5, 2, 1, 2, 3, 2, 2.

  12. TOYO 2 Ms. Snow asks some of her students how many pets they have. The responses are 9, 0, 4, 1, 1, 2, 3, 5, and 2 pets. Display the data using a Box-and-Whisker Plot.

  13. TOYO 3 The next 9 customers in line are waiting to purchase the following number of items: 6, 10, 4, 8, 5, 9, 4, 10, 7, 5 Display the data using a Box-and-Whisker plot.

  14. Class Activity In your groups collect the following data and write it down: 1.) Number of in vowels everyone’s full name. 2.) Number of consonants in everyone’s full name. 3.) Number of letters in everyone’s full name. Make a box and whisker plot for each.

  15. Activity Results Group 1 Group 2

  16. For the past 4 weeks, it has snowed 8 times. The following are the accumulation results for each time it snowed (in inches): 4, 3, 2, 2, 6, 1, 8, 3. Create a box-and-whisker plot that will display this data. Do Now

  17. The interquartile range (IQR) is the difference between the first and third quartiles. It is a measure of the spread of the middle 50% of the data. • A small IQR means that the data of the middle 50% of the set are close in value. • A large IQR means that the data of the middle 50% of the set are spread out.

  18. 71, 73, 73, 84, 82 Ex. 3: Finding the Interquartile Range Find the interquartile range for the data set 87, 71, 72, 73, 84, 92, 73. 71, 72, 73, 73, 84, 87, 82 72, 87, IQR=87-72=15 The inter-quartile range is 15.

  19. TOYO 3 Find the interquartile range for the data set 17, 39, 38, 9, 29, 40, 27

  20. Page 7 Another measure of variation is the mean absolute deviation. This is the mean amount that data values differ from the mean of data values. Find the mean of the data set Find the difference between the mean and each value in the set Find the mean of the differences Mean Absolute Deviation pg. 7

  21. Ex. 4: Finding Mean Absolute Deviation A scientist is studying temperature variation. She determines that the temperature at noon on four days is 75F, 82F, 78F, and 67F. What is the mean absolute deviation of the temperatures? . Goals for finding the Mean Absolute Deviation 75+82+78+67 = 75.5 4 75.5 – 75 = 82 – 75.5 = 78 – 75.5 = 75.5 – 67 = Find the mean of the data set Find the difference between the mean and each value in the set Find the mean of the differences 0.5 6.5 2.5 + + + ___________________ 4 = 4.5 8.5

  22. TOYO 4 A scientist is studying temperature variation. She determines that the temperature at noon on four days is 64F, 75F, 80F, and 78F. What is the mean absolute deviation of the temperatures?

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

  24. Exit Ticket A park ranger measures the thickness of ice on a lake in 8 different locations: 19 in., 17 in., 15 in., 15 in., 18 in., 12 in., 16 in., 14 in. 1. Make a box-and-whisker plot of the data.

  25. Jackie and her 4 brothers decided to record how many hot dogs they can eat in 10 minutes. Jackie ate 7, Rich ate 10, Tom ate 8, Justin ate 11, and Jimmy ate 16 hotdogs. Find the inter-quartile range of how many hotdogs they ate. Find the mean absolute value deviation of the data set. Exit Ticket

  26. Lesson Quiz for Student Response Systems • The number of text messages 7 people sent in one day are as follows: 8, 4, 3, 17, 2, 1, and 10. 1. Find the inter-quartile range of the data. 2.Find the mean absolute deviation of the data, to the nearest tenth.

  27. The mode of Nevin’s four math quiz scores last month is 85 points. On three of the quizzes, he earned the following scores: 90, 86, and 85. What was the score of Nevin’s other quiz?

  28. Tammy is 14 years old. She has a younger sister and an older brother. Her sister is 12 years old. The mean of all their ages is 14. How old is Tammy’s brother?

  29. The table shows some of the years in which the Super Bowl was won by the most points. Find the mean, median, and mode. Super Bowl Winning Margins The 1990 Super Bowl had the largest winning margin, which was 45 points. Add this number to the data in the table and find the mean, median, and mode. Which best describes the data?

  30. The amount of snowfall (in inches) for each of the first 6 weeks of winter is 1.5, 3.7, 9, 4.5, 7.3, and 4. What is the mean absolute deviation for the number of inches of snow for the first 6 weeks of winter?

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