113 3.4 Exploratory Data Analysis most variation in or women Show the box finish
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113 3.4 Exploratory Data Analysis most variation in or women Show the box finish times? Explain. e. Annual sales, in millions of dollars, for 21 pharmaceutical companies follow. test 8408 1374 1872 8879 2459 11413 608 14138 6452 1850 2818 1356 SELF 10498 7478 4019 4341 739 2127 3653 5794 8305 O Provide a five-number summary D Compute the lower and upper limits. c. Do the data contain any outliers? d. Johnson &Johnson;'s sales are the largest on the list at $14,138 million. Suppose a data entry error (a transposition) had been made and the sales had been entered as $41,138 million. Would the method of detecting outliers in part (c) identify this problem and allow for correction of the data entry error? Show a box plot. e. 42. Consumer Reports provided overall customer satisfaction scores for AT&T;, Sprint, T-Mobile, and Verizon cell-phone services in major metropolitan areas throughout the United States. The rating for each service reflects the overall customer satisfaction considering a variety of factors such as cost, connectivity problems, dropped calls, static interference, and customer support. A satisfaction scale from 0 to 100 was used with 0 in- dicating completely dissatisfied and 100 indicating completely satisfied. The ratings for the four cell phone services in 20 metropolitan areas are as shown (Consumer Reports, January 2009). Metropolitan Area AT&T; Sprint T-Mobile Verizon 70 EB 71 75 70 74 Dallas CeiServiceChicago 75 74 81 81 Jacksonville Las Vegas Los Angeles Miami 72 Philadelphia Phoenix San Antonio San Diego San Prancisco 75 71 76 75 81 68 75 75 St. Louis Tampa Washington 73 71 72Explanation / Answer
putting data into ascending order:
mimimum =608
quartile 1 Q1=(n+1)/4 th value =(21+1)/4 th value =5.5 th value =(1850+1872)/2 =1861
median =(n+!)/2 th value =11 th value =4019
quartile 3 Q3 =3*(n+1)/4 th value =16.5 th value =(8305+8408)/2 =8356.5
maximum =14138
therefore 5 number summary : 608 ;1861 ;4019 ; 8356.5 ; 14138
upper limit =Q3 +1.5*(Q3-Q1) =18099.75
lower limit =Q1 -1.5*(Q3-Q1)=-7882.25
S No X 1 608 2 739 3 1356 4 1374 5 1850 6 1872 7 2127 8 2459 9 2818 10 3653 11 4019 12 4341 13 5794 14 6452 15 7478 16 8305 17 8408 18 8879 19 10498 20 11413 21 14138Related Questions
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