0.12 Outliers Worksheet Show all of your qork 1. The quartiles for the data set (1 1 1, 21, 29. 19. 121, 25, 29. 27, 17) are Q,= 20. Q= 27, and Q= 70. a) What is the IQR? SO b) What is the lower fence value? c) What is the upper fence value? d) Are there any outliers? Explain your reasoning. 2. The quartiles for the data set (72, 68, 68, 75, 75. 82, 81, 8, 200} are Q,= 68, Q2=75, and Q3= 81.5. a) What is the IQR? b) What is the lower fence value? c) What is the upper fence value? d) Are there any outliers? Explain your reasoning. 3. The five number summaries for the average monthly precipitation in millimeters during the summer for the Western and Midwestern states are provided WEST MIDWEST Min = 7 Min =68 Q 1 = 22 Q1 = 81.5 Median = 33 Median = 99.5 Q3 = 49 Q3 = 102.5 Max = 107 Max = 111 a) Construct two box plots for each area's monthly precipitation on the number line below. WEST MIDWEST 10 20 30 40 0 50 60 70 80 90 100 110 120 Average Monthly Precipitation in Millimeters b) Determine if there are outliers in either data set. Explain how you determined your answer mentioning lower and upper fence values