• a Box and Whisker Plot Is a Type of Data Display That Summarizes Data
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IMC Name:_________________________________ Date:_____________ Unit 8 A box and whisker plot is a type of data display that summarizes data. A box and whisker plot graphically displays the ____________________, ____________________, ______________________, and ____________________ in a set of data. A data point is called an ______________ if it lies more than 1.5 times the _______________________ away from either quartile. The dimensions of a box and whisker plot can help you to summarize a data set because each section of a box and whisker plot contains exactly ______ of the data. Example 1: Using the following box and whisker plot, label the lower quartile, median, upper quartile, interquartile range, range, and any outliers in the data set: Example 2: Use the following box and whisker plot to answer the questions. 8 10 12 20 22 47 *Note: Drawing is not to scale. 1. What is the median of the data? 2. What is the interquartile range? 3. Do any outliers exist? If so, prove that the values are indeed outliers. 4. What percent of the data lies between the lower quartile and the upper quartile? 5. What percent of the data lies between the minimum and the lower quartile? Example 3: Below are the names and salaries (in millions of dollars) of 20 Eagles players. Zach Ertz: 1.34 Ryan Mathews: 3.67 Lane Johnson: 4.96 Brandon Graham: 6.5 Marcus Smith: 1.95 DeMeco Ryans: 3.75 Evan Mathis: 5.1 DeMarco Murray: 8 Nelson Agholor:2.34 Riley Cooper: 4.5 Malcom Jenkins: 5.17 Jason Peters: 10.33 Fletcher Cox: 2.56 Mark Sanchez: 4.5 Connor Barwin: 6 Byron Maxwell: 10.5 Darren Sproles: 3.5 Brent Celek: 4.88 Jason Kelce: 6.25 Sam Bradford: 13.01 Determine Q1, Q2, Q3 ________ ________ ________ Determine IQR Set Limits: Low Limit = Q1 – 1.5(IQR) High Limit = Q3 +1.5(IQR) Determine any outliers if no outliers use actual high and low values Determine high and low if outliers use highest and lowest within limits Draw Box and Whisker Plot over a number line Practice Determining Outliers: Determine if the given set has any outliers by determining the high and low limit. 4. Data Set: -6, 0, 1, 2, 3, 5, 19 5. Data Set: 2, 3, 17, 17, 18, 20, 20, 23, 24, 25 Q1: 0 Q2: 2 Q3= 5 Q1: 17 Q2: 19 Q3= 23 6. Data Set: 79, 80, 82, 83, 84, 87, 88 Q1: 80 Q2: 83 Q3= 87 You Try: 7. Using the box and whisker plot below, answer the following questions: -4 20 27 41 45 53 a. What is the median? b. What is the lower quartile? c. What is the upper quartile? d. What is the interquartile range? e. Are there any outliers? If so, prove that these values are indeed outliers. f. What percent of the data lies between -4 and 45? g. What percent of the data lies between 45 and 53? 8. {10, 13, 15, 39, 21, 24, 19, 16, 40, 17, 23, 25} a) Determine Q1, Q2, Q3 ________ ________ ________ b) Determine IQR c) Set Limits: Low Limit = High Limit = d) Determine any outliers e) Determine high and low f) Draw Box and Whisker Plot over a number line 9. {-15, 1, 2, 4, 5, 6, 8, 8, 9, 10, 13, 14, 35} Determine Q1, Q2, Q3 ________ ________ ________ Determine IQR Set Limits: Low Limit = High Limit = Determine any outliers Determine high and low Draw Box and Whisker Plot over a number line .