1. Texas Algebra I Unit 3: Probability/Statistics Lesson 28: Box and Whiskers plots

2. Lesson Objectives: TEKS The student will be able to: 1.Define Box and Whiskers Plot and identify key components 2.Define upper quartile, lower quartile and outliers 3.Interpret data given in a box and whiskers plot 4.Organize a given data set into a box and whiskers plot 5.Use a stem and leaf plot to identify/calculate the median, upper quartile, and lower quartile of a data set

3. Definitions Box and Whiskers Plot - A visual display of the five number summary, the upper and lower quartiles, the median, and the minimum and maximum values. The box-and-whisker plot is a simplified boxplot taught to beginners. May or may not include outliers. upper quartile- For a set of data, a number for which 25% of the data is more than that number. lower quartile- For a set of data, a number for which 25% of the data is less than that number. Outliers- * A data point that is distinctly separate from the rest of the data. * One definition of outlier is any data point more than 1.5 interquartile ranges (IQRs) below the first quartile or above the third quartile.

4. Box plot This is a box and whiskers plot. Maximum (upper extreme) Upper quartilemedian Minimum (lower extreme) Upper quartile

5. Putting given set in plot Here is the data set: {25, 45, 89, 45, 42, 23, 74, 45, 28, 52, 36, 25, 38, 69, 23} 1.Order your number set 2.Find the median 3.Find your upper and lower quartiles 4.Draw your box 5.Complete by extending the whiskers out to the maximum and minimum values

6. Putting given set in plot Second example: {5, 4, 8, 9, 4, 5, 4, 2, 2, 3, 7, 4, 4, 5, 6, 9, 2, 3} 1.Order your number set 2.Find the median 3.Find your upper and lower quartiles 4.Draw your box 5.Complete by extending the whiskers out to the maximum and minimum values

7. Lesson Objectives: TEKS The student will be able to: 1.Define Box and Whiskers Plot and identify key components 2.Define upper quartile, lower quartile and outliers 3.Interpret data given in a box and whiskers plot 4.Organize a given data set into a box and whiskers plot 5.Use a stem and leaf plot to identify/calculate the median, upper quartile, and lower quartile of a data set