{"text_format":"1","workbook":"xlsx","n_sheets":9,"sheets":["Title","Probability","Joint Prob-with replacement","Joint Prob-no replacement","Variance & Std Dev-sample data","Probability-A","Joint Probability (repl)-A","Joint Probability (no repl)-A"," Variance & Std Deviation-S-A"],"not_rendered":{"charts":0,"images":12,"macros":1,"external_links":0,"defined_names":0,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Title","index":0,"n_rows":9,"n_cols":3,"rows_kept":9,"cut":false,"hidden":false,"merged":[]}
[null,null,"Calculation practice activities to accompany\nCHAPTER 5"]
[]
[null,null,"Social Statistics in Action: A Canadian Introduction"]
[null,null,"Andrea M. Noack"]
[]
[null,null,"Oxford University Press, 2018"]
[]
[null,null,"For more information, visit: "]
[null,null,"https://www.oupcanada.com/catalog/9780199015214.html"]

{"sheet":"Probability","index":1,"n_rows":17,"n_cols":7,"rows_kept":17,"cut":false,"hidden":false,"merged":[[0,1,0,8],[2,1,2,8],[4,1,5,1],[4,2,5,2],[4,3,5,3],[5,4,6,5]]}
[null,"PRACTICE CALCULATING PROBABILITIES"]
[]
[null,"Calculate the probability of selecting a case with the specified attribute, using the frequencies (counts) in the yellow highlighted cells. \nKeep two decimal places throughout your calculations. \nTo check your answer, click on the 'Show Answer' button."]
[]
[null,"Category","Frequency \n(F)"]
[null,null,null,null,"Probability of selecting a case with Attribute 1:"]
[null,"Attribute 1",11,null,null,null,"hidden"]
[null,"Attribute 2",3]
[null,"Attribute 3",12]
[null,"Total",26,null,"Need some help?"]
[]
[]
[]
[null,"PROBABILITY CALCULATION"]
[null,"Probability"]
[null,null,"= 11 ÷ 26"]
[null,null,"= ?"]

{"sheet":"Joint Prob-with replacement","index":2,"n_rows":18,"n_cols":7,"rows_kept":18,"cut":false,"hidden":false,"merged":[[0,1,0,8],[2,1,2,8],[4,1,5,1],[4,2,5,2],[4,3,5,3],[5,4,7,5]]}
[null,"PRACTICE CALCULATING JOINT PROBABILITIES (WITH REPLACEMENT)"]
[]
[null,"Calculate the probability of selecting two cases in sequence with the two specified attributes, using the frequencies (counts) in the yellow highlighted cells. \nAssume that the case that is selected first is replaced before the second selection. \nKeep two decimal places throughout your calculations. \nTo check your answer, click on the 'Show Answer' button."]
[]
[null,"Category","Frequency \n(F)"]
[null,null,null,null,"Probability of selecting a case with Attribute 1 followed by a case with Attribute 1:"]
[null,"Attribute 1",10]
[null,"Attribute 2",6,null,null,null,"hidden"]
[null,"Attribute 3",1]
[null,"Total",17,null,"Need some help?"]
[]
[]
[]
[null,"JOINT PROBABILITY CALCULATION"]
[null,"Joint Probability"]
[null,null,"= (10 ÷ 17) x (10 ÷ 17)"]
[null,null,"= ? x ?"]
[null,null,"= ?"]

{"sheet":"Joint Prob-no replacement","index":3,"n_rows":18,"n_cols":7,"rows_kept":18,"cut":false,"hidden":false,"merged":[[0,1,0,8],[2,1,2,8],[4,1,5,1],[4,2,5,2],[4,3,5,3],[5,4,7,5]]}
[null,"PRACTICE CALCULATING JOINT PROBABILITIES (WITHOUT REPLACEMENT)"]
[]
[null,"Calculate the probability of selecting two cases in sequence with the two specified attributes, using the frequencies (counts) in the yellow highlighted cells. \nAssume that the case that is selected first is not replaced before the second selection.\nKeep two decimal places throughout your calculations. \nTo check your answer, click on the 'Show Answer' button."]
[]
[null,"Category","Frequency \n(N)"]
[null,null,null,null,"Probability of selecting a case with Attribute 3 followed by a case with Attribute 2:"]
[null,"Attribute 1",4]
[null,"Attribute 2",6,null,null,null,"hidden"]
[null,"Attribute 3",10]
[null,"Total",20,null,"Need some help?"]
[]
[]
[]
[null,"JOINT PROBABILITY CALCULATION"]
[null,"Joint Probability"]
[null,null,"= (10 ÷ 20) x (6 ÷ 19)"]
[null,null,"= ? x ?"]
[null,null,"= ?"]

{"sheet":"Variance & Std Dev-sample data","index":4,"n_rows":44,"n_cols":7,"rows_kept":44,"cut":false,"hidden":false,"merged":[[38,6,38,7],[43,6,43,7],[33,6,33,7],[34,6,34,7],[36,6,36,7],[42,6,42,7],[40,6,40,7],[37,6,37,7],[41,6,41,7],[22,6,22,7],[23,6,23,7],[24,6,24,7],[25,6,25,7],[26,6,26,7],[27,3,27,4],[31,6,31,7],[32,6,32,7],[29,3,29,4],[30,3,30,4],[31,3,31,4],[32,3,32,4],[28,3,28,4],[27,6,27,7],[28,6,28,7],[29,6,29,7],[30,6,30,7],[24,3,24,4],[25,3,25,4],[26,3,26,4],[23,3,23,4],[0,1,0,8],[2,1,2,8],[6,4,6,5],[7,4,7,5],[9,4,9,5],[10,4,10,5],[13,4,13,5],[20,3,20,4],[21,3,21,4],[22,3,22,4],[20,6,20,7],[21,6,21,7]]}
[null,"PRACTICE CALCULATING VARIANCE AND STANDARD DEVIATION (SAMPLE DATA)"]
[]
[null,"Calculate the variance and standard deviation of the values in the yellow highlighted cells. \nKeep two decimal places throughout your calculations. \nTo check your answers, click on the 'Show Answers' button. "]
[]
[]
[null,"Case #","Value on \nVariable X"]
[null,1,7,null,"Number of Cases (n):",null,12]
[null,2,16,null,"Mean (x-bar):",null,10.25]
[null,3,12]
[null,4,13,null,"Variance:",null,"hidden"]
[null,5,15,null,"Standard Deviation:",null,"hidden"]
[null,6,8]
[null,7,10]
[null,8,20,null,"Need some help?"]
[null,9,8]
[null,10,4]
[null,11,5]
[null,12,5]
[]
[null,"VARIANCE AND STANDARD DEVIATION CALCULATIONS"]
[null,"Case #","Value \n","Mean\n",null,"Value - Mean\n","(Value-Mean)2\n"]
[null,1,7,10.25,null,"7 - 10.25 = ?","-3.25 x -3.25 = ?"]
[null,2,16,10.25,null,"16 - 10.25 = ?","5.75 x 5.75 = ?"]
[null,3,12,10.25,null,"12 - 10.25 = ?","1.75 x 1.75 = ?"]
[null,4,13,10.25,null,"13 - 10.25 = ?","2.75 x 2.75 = ?"]
[null,5,15,10.25,null,"15 - 10.25 = ?","4.75 x 4.75 = ?"]
[null,6,8,10.25,null,"8 - 10.25 = ?","-2.25 x -2.25 = ?"]
[null,7,10,10.25,null,"10 - 10.25 = ?","-0.25 x -0.25 = ?"]
[null,8,20,10.25,null,"20 - 10.25 = ?","9.75 x 9.75 = ?"]
[null,9,8,10.25,null,"8 - 10.25 = ?","-2.25 x -2.25 = ?"]
[null,10,4,10.25,null,"4 - 10.25 = ?","-6.25 x -6.25 = ?"]
[null,11,5,10.25,null,"5 - 10.25 = ?","-5.25 x -5.25 = ?"]
[null,12,5,10.25,null,"5 - 10.25 = ?","-5.25 x -5.25 = ?"]
[null,null,null,null,null,"Column Sum (Σ)","= 276.22"]
[null,null,null,null,null,"N","= 12"]
[null,null,null,null,null,"Variance"]
[null,null,null,null,null,null,"= 276.22 ÷ (12 - 1)"]
[null,null,null,null,null,null,"= ? ÷ ?"]
[null,null,null,null,null,null,"= ?"]
[null,null,null,null,null,"Std. Deviation"]
[null,null,null,null,null,null,"= square root of [276.22 ÷ (12 - 1)]"]
[null,null,null,null,null,null,"= square root of (? ÷ ?)"]
[null,null,null,null,null,null,"= square root of ?"]
[null,null,null,null,null,null,"= ?"]

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[null,"PRACTICE CALCULATING PROBABILITIES"]
[]
[]
[]
[null,"Category","Frequency (Occurrences)"]
[null,null,null,null,{"$f":"CONCATENATE(\"'Probability of selecting a case with Attribute \",H7,\":\")","v":"'Probability of selecting a case with Attribute 1:"}]
[{"$f":"RANDBETWEEN(1,20)","v":10},"Attribute 1",11,null,null,null,{"$f":"IF(H17=0,\"'<0.00 or <0%\",CONCATENATE(\"'\",H17,\" or \",I17,\"%\"))","v":"'0.42 or 42%"},1,{"$f":"RANDBETWEEN(1,3)","v":3}]
[{"$f":"RANDBETWEEN(1,20)","v":7},"Attribute 2",3]
[10,"Attribute 3",12]
[{"$f":"SUM(A7:A9)","v":27},"Total",26]
[]
[null,"Need some help?"]
[]
[null,"PROBABILITY CALCULATION"]
[null,"Probability",null,null,null,null,null,{"$f":"INDEX(C7:C9,H7)","v":11}]
[null,null,{"$f":"CONCATENATE(\"'= \",H15,\" ÷ \",C10)","v":"'= 11 ÷ 26"}]
[null,null,{"$f":"IF(H17=0,\"'= <0.00\",CONCATENATE(\"'= \",G17, H17))","v":"'= 0.42"},null,null,null,null,{"$f":"ROUND(H15/C10,2)","v":0.42},{"$f":"H17*100","v":42}]

{"sheet":"Joint Probability (repl)-A","index":6,"n_rows":18,"n_cols":13,"rows_kept":18,"cut":false,"hidden":true,"merged":[[0,1,0,8],[2,1,2,8],[4,1,5,1],[4,2,5,2],[4,3,5,3],[5,4,7,5]]}
[null,"PRACTICE CALCULATING JOINT PROBABILITIES"]
[]
[]
[null,null,null,null,null,null,null,null,{"$f":"RAND()","v":0.13474272751656224},{"$f":"RAND()","v":0.61703173523335597}]
[null,"Category","Frequency (Occurrences)",null,null,null,null,null,{"$f":"RAND()","v":0.55919750239741695},{"$f":"RAND()","v":0.21747771133965055}]
[null,null,null,null,{"$f":"CONCATENATE(\"'Probability of selecting a case with Attribute \",L7,\" followed by a case with Attribute \",L8,\":\")","v":"'Probability of selecting a case with Attribute 1 followed by a case with Attribute 1:"},null,null,null,{"$f":"RAND()","v":0.59280636311392698},{"$f":"RAND()","v":5.0235992849566369E-2}]
[{"$f":"RANDBETWEEN(1,10)","v":6},"Attribute 1",10,null,null,null,{"$f":"IF(I18=0,\"<0.00 or <0%\",CONCATENATE(\"'\",I18,\" or \",J18,\"%\"))","v":"'0.35 or 35%"},null,0.50308157699896039,0.16459594491251184,{"$f":"MIN(I7:I9)","v":0.50308157699896039},{"$f":"MATCH(K7,I7:I9,0)","v":1},{"$f":"INDEX(C7:C9,L7)","v":10}]
[{"$f":"RANDBETWEEN(1,10)","v":5},"Attribute 2",6,null,null,null,null,null,0.81015762121332069,0.44906567284526056,{"$f":"MIN(J7:J9)","v":0.16459594491251184},{"$f":"MATCH(K8,J7:J9,0)","v":1},{"$f":"INDEX(C7:C9,L8)","v":10}]
[7,"Attribute 3",1,null,null,null,null,null,0.55959102980234388,0.22206228118116977]
[{"$f":"SUM(A7:A9)","v":18},"Total",17]
[]
[null,null,"Need some help?"]
[]
[null,"JOINT PROBABILITY CALCULATION"]
[null,"Joint Probability"]
[null,null,{"$f":"CONCATENATE(\"'= (\",M7,\" ÷ \",C10,\") x (\",M8,\" ÷ \",C10,\")\")","v":"'= (10 ÷ 17) x (10 ÷ 17)"}]
[null,null,{"$f":"CONCATENATE(\"'= \",I17,\" x \",J17)","v":"'= 0.59 x 0.59"},null,null,null,null,null,{"$f":"ROUND(M7/C10,2)","v":0.59},{"$f":"ROUND(M8/C10,2)","v":0.59}]
[null,null,{"$f":"IF(I18=0,\"'= <0.00\",CONCATENATE(\"'= \",I18))","v":"'= 0.35"},null,null,null,null,null,{"$f":"ROUND(I17*J17,2)","v":0.35},{"$f":"I18*100","v":35}]

{"sheet":"Joint Probability (no repl)-A","index":7,"n_rows":18,"n_cols":14,"rows_kept":18,"cut":false,"hidden":true,"merged":[[0,1,0,8],[2,1,2,8],[4,1,5,1],[4,2,5,2],[4,3,5,3],[5,4,7,5]]}
[null,"PRACTICE CALCULATING JOINT PROBABILITIES"]
[]
[]
[null,null,null,null,null,null,null,null,{"$f":"RAND()","v":0.51670865876480787},{"$f":"RAND()","v":0.22862820619186763}]
[null,"Category","Frequency (Occurrences)",null,null,null,null,null,{"$f":"RAND()","v":0.37419136723137103},0.90568680092021014]
[null,null,null,null,{"$f":"CONCATENATE(\"'Probability of selecting a case with Attribute \",L7,\" followed by a case with Attribute \",L8,\":\")","v":"'Probability of selecting a case with Attribute 3 followed by a case with Attribute 2:"},null,null,null,{"$f":"RAND()","v":0.65601742987067435},0.3203108038504926]
[{"$f":"RANDBETWEEN(1,10)","v":5},"Attribute 1",4,null,null,null,{"$f":"IF(AND(I18=0,M8>0),\"'<0.00 or <0%\",CONCATENATE(\"'\",I18,\" or \",J18,\"%\"))","v":"'0.16 or 16%"},null,0.70530793013246451,0.61468208372134037,{"$f":"MIN(I7:I9)","v":0.40838697388007605},{"$f":"MATCH(K7,I7:I9,0)","v":3},{"$f":"INDEX(C7:C9,L7)","v":10}]
[{"$f":"RANDBETWEEN(1,10)","v":3},"Attribute 2",6,null,null,null,null,null,0.72719224324169474,0.498373721891469,{"$f":"MIN(J7:J9)","v":0.498373721891469},{"$f":"MATCH(K8,J7:J9,0)","v":2},{"$f":"IF(L8=L7,N8-1,N8)","v":6},{"$f":"INDEX(C7:C9,L8)","v":6}]
[10,"Attribute 3",10,null,null,null,null,null,0.40838697388007605,0.92883526023369123]
[{"$f":"SUM(A7:A9)","v":18},"Total",20]
[]
[null,null,"Need some help?"]
[]
[null,"JOINT PROBABILITY CALCULATION"]
[null,"Joint Probability"]
[null,null,{"$f":"CONCATENATE(\"'= (\",M7,\" ÷ \",C10,\") x (\",M8,\" ÷ \",I16,\")\")","v":"'= (10 ÷ 20) x (6 ÷ 19)"},null,null,null,null,null,{"$f":"C10-1","v":19}]
[null,null,{"$f":"CONCATENATE(\"'= \",I17,\" x \",J17)","v":"'= 0.5 x 0.32"},null,null,null,null,null,{"$f":"ROUND(M7/C10,2)","v":0.5},{"$f":"ROUND(M8/I16,2)","v":0.32}]
[null,null,{"$f":"IF(AND(I18=0,M8>0),\"'= <0.00\",CONCATENATE(\"'= \",I18))","v":"'= 0.16"},null,null,null,null,null,{"$f":"ROUND(I17*J17,2)","v":0.16},{"$f":"I18*100","v":16}]

{"sheet":" Variance & Std Deviation-S-A","index":8,"n_rows":57,"n_cols":11,"rows_kept":57,"cut":false,"hidden":true,"merged":[[53,6,53,7],[54,6,54,7],[55,6,55,7],[56,6,56,7],[37,6,37,7],[41,6,41,7],[47,6,47,7],[48,6,48,7],[49,6,49,7],[50,6,50,7],[51,6,51,7],[52,6,52,7],[40,6,40,7],[42,6,42,7],[43,6,43,7],[44,6,44,7],[45,6,45,7],[46,6,46,7],[32,3,32,4],[32,6,32,7],[33,6,33,7],[34,6,34,7],[36,6,36,7],[38,6,38,7],[29,3,29,4],[29,6,29,7],[30,3,30,4],[30,6,30,7],[31,3,31,4],[31,6,31,7],[26,3,26,4],[26,6,26,7],[27,3,27,4],[27,6,27,7],[28,3,28,4],[28,6,28,7],[23,3,23,4],[23,6,23,7],[24,3,24,4],[24,6,24,7],[25,3,25,4],[25,6,25,7],[22,3,22,4],[22,6,22,7],[0,1,0,12],[2,1,2,12],[6,4,6,5],[7,4,7,5],[9,4,9,5],[10,4,10,5],[12,4,12,5],[20,3,20,4],[20,6,20,7],[21,3,21,4],[21,6,21,7]]}
[null,"PRACTICE CALCULATING VARIANCE AND STANDARD DEVIATION (SAMPLE DATA)"]
[]
[]
[]
[]
[null,"Case #","Value"]
[{"$f":"RANDBETWEEN(1,20)","v":7},1,7,null,"Number of Cases:",null,{"$f":"COUNT(C7:C18)","v":12}]
[4,2,16,null,"Mean:",null,{"$f":"ROUND(AVERAGE(C7:C18),2)","v":10.25}]
[15,3,12]
[4,4,13,null,"Variance:",null,{"$f":"J37","v":25.11}]
[8,5,15,null,"Standard Deviation:",null,{"$f":"J43","v":5.01}]
[3,6,8]
[7,7,10,null,"Need some help?"]
[4,8,20]
[4,9,8]
[19,10,4]
[15,11,5]
[4,12,5]
[]
[null,"VARIANCE AND STANDARD DEVIATION CALCULATIONS"]
[null,"Case #","Value","Mean",null,"Value - Mean","(Value-Mean)2"]
[null,1,{"$f":"C7","v":7},{"$f":"$G$8","v":10.25},null,{"$f":"CONCATENATE($C22,\" - \",$G$8,\" = \",$J22)","v":"7 - 10.25 = -3.25"},{"$f":"CONCATENATE($J22,\" x \",$J22,\" = \",$K22)","v":"-3.25 x -3.25 = 10.56"},null,null,{"$f":"ROUND(C22-$G$8,2)","v":-3.25},{"$f":"ROUND(J22^2,2)","v":10.56}]
[null,2,{"$f":"C8","v":16},{"$f":"$G$8","v":10.25},null,"16 - 10.25 = 5.75",{"$f":"CONCATENATE($J23,\" x \",$J23,\" = \",$K23)","v":"5.75 x 5.75 = 33.06"},null,null,5.75,{"$f":"ROUND(J23^2,2)","v":33.06}]
[null,3,12,10.25,null,"12 - 10.25 = 1.75","1.75 x 1.75 = 3.06",null,null,1.75,3.06]
[null,4,13,10.25,null,"13 - 10.25 = 2.75","2.75 x 2.75 = 7.56",null,null,2.75,7.56]
[null,5,15,10.25,null,"15 - 10.25 = 4.75","4.75 x 4.75 = 22.56",null,null,4.75,22.56]
[null,6,8,10.25,null,"8 - 10.25 = -2.25","-2.25 x -2.25 = 5.06",null,null,-2.25,5.0599999999999996]
[null,7,10,10.25,null,"10 - 10.25 = -0.25","-0.25 x -0.25 = 0.06",null,null,-0.25,0.06]
[null,8,20,10.25,null,"20 - 10.25 = 9.75","9.75 x 9.75 = 95.06",null,null,9.75,95.06]
[null,9,8,10.25,null,"8 - 10.25 = -2.25","-2.25 x -2.25 = 5.06",null,null,-2.25,5.0599999999999996]
[null,10,4,10.25,null,"4 - 10.25 = -6.25","-6.25 x -6.25 = 39.06",null,null,-6.25,39.06]
[null,11,5,10.25,null,"5 - 10.25 = -5.25","-5.25 x -5.25 = 27.56",null,null,-5.25,27.56]
[null,12,5,10.25,null,"5 - 10.25 = -5.25","-5.25 x -5.25 = 27.56",null,null,-5.25,27.56]
[null,null,null,null,null,"Column Sum",{"$f":"CONCATENATE(\"'= \",J34)","v":"'= 276.22"},null,null,{"$f":"ROUND(SUM(K22:K33),2)","v":276.22000000000003}]
[null,null,null,null,null,"n",{"$f":"CONCATENATE(\"'= \",J35)","v":"'= 12"},null,null,{"$f":"G7","v":12}]
[null,null,null,null,null,"Variance",null,null,null,{"$f":"J35-1","v":11}]
[null,null,null,null,null,null,{"$f":"CONCATENATE(\"'= \",J34,\" ÷ (\",J35,\" - 1)\")","v":"'= 276.22 ÷ (12 - 1)"},null,null,{"$f":"ROUND(J34/J36,2)","v":25.11}]
[null,null,null,null,null,null,{"$f":"CONCATENATE(\"'= \",J34,\" ÷ \",J36)","v":"'= 276.22 ÷ 11"}]
[null,null,null,null,null,null,{"$f":"CONCATENATE(\"'= \",J37)","v":"'= 25.11"}]
[null,null,null,null,null,"Std. Deviation"]
[null,null,null,null,null,null,{"$f":"CONCATENATE(\"'= square root of [\",J34,\" ÷ (\",J35,\" - 1)]\")","v":"'= square root of [276.22 ÷ (12 - 1)]"}]
[null,null,null,null,null,null,{"$f":"CONCATENATE(\"'= square root of (\",J34,\" ÷ \",J36,\")\")","v":"'= square root of (276.22 ÷ 11)"}]
[null,null,null,null,null,null,{"$f":"CONCATENATE(\"'= square root of \",J37)","v":"'= square root of 25.11"},null,null,{"$f":"ROUND(SQRT(J37),2)","v":5.01}]
[null,null,null,null,null,null,{"$f":"CONCATENATE(\"'= \",J43)","v":"'= 5.01"}]
[null,null,null,null,null,"Value - Mean","(Value-Mean)2"]
[null,null,null,null,null,{"$f":"CONCATENATE($C22,\" - \",$G$8,\" = ?\")","v":"7 - 10.25 = ?"},{"$f":"CONCATENATE($J22,\" x \",$J22,\" = ?\")","v":"-3.25 x -3.25 = ?"}]
[null,null,null,null,null,{"$f":"CONCATENATE($C23,\" - \",$G$8,\" = ?\")","v":"16 - 10.25 = ?"},{"$f":"CONCATENATE($J23,\" x \",$J23,\" = ?\")","v":"5.75 x 5.75 = ?"}]
[null,null,null,null,null,"12 - 10.25 = ?","1.75 x 1.75 = ?"]
[null,null,null,null,null,"13 - 10.25 = ?","2.75 x 2.75 = ?"]
[null,null,null,null,null,"15 - 10.25 = ?","4.75 x 4.75 = ?"]
[null,null,null,null,null,"8 - 10.25 = ?","-2.25 x -2.25 = ?"]
[null,null,null,null,null,"10 - 10.25 = ?","-0.25 x -0.25 = ?"]
[null,null,null,null,null,"20 - 10.25 = ?","9.75 x 9.75 = ?"]
[null,null,null,null,null,"8 - 10.25 = ?","-2.25 x -2.25 = ?"]
[null,null,null,null,null,"4 - 10.25 = ?","-6.25 x -6.25 = ?"]
[null,null,null,null,null,"5 - 10.25 = ?","-5.25 x -5.25 = ?"]
[null,null,null,null,null,"5 - 10.25 = ?","-5.25 x -5.25 = ?"]