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6 ;"0 0 0 0 0"; 4 hint=hint+1 4 <8<<8D @<D 4 ;"We can estimate"'"from the graph"'"that 4 ,"8 units" 3 ;"FREQUENCY MID-INTERVAL PRODUCT"; 3 ;" Plot your points"'"on graph paper"'"before checking.": 3 ,"b.","When x=2,y=",1 3 ,"3","",11 3 ,"2","",11 3 2 | DD <TTxD 2 y,x;a$;v$: 2 vval,g$,u$,x,y,nlsq: 2 press key when ready 2 h$+v$=g$+u$ 2 b$=" ": 2 a,qi1,qi2,qi3,qi4,qi5,qi6,qi7,qi8,qi9,qi10,qi11,qi12,qi13,qi14,qi15,qi16,qi17,qi18,qi19: 2 Programmed by Tony Topliss. 2 @ D< DTT@D 2 ;r;" out of ";a: 2 ;"x0 2 4"; 2 ;"enter units of answer: "; 2 ;"enter answer: "; 2 ;"UNITS!": 2 ;"QUESTIONS"; 2 ;"MATHEMATICS"; 2 ;"MATHEMATICS LEARNING MODULES"; 2 ;"If we have the graph of 2 ;"CORRECT";: 2 ;"0 2 4 6 8 1"; 2 ;" Do you wish to work through thenotes before you attempt the questions? Press Y/N. ": 2 ;" ": 2 ;" ": 2 . How can we"'"describe the"'"region NOT"'"shaded?"''"ENTER < or >"'"and an integer.": 2 ,"m. The mean","number of days","it took for the","postcards to","arrive=",1 2 ,"l. The total","product,fx=",1 2 ,"c.","When x=4,y=",1 2 ,"a.","When x=0,y=",1 2 ,"<3","",3 2 ,"7.5","",3 2 ,"7 units" 2 ,"6 units" 2 ,"5 units" 2 ,"4","",11 2 ,"10","",8 2 ,"10","",1 2 "mathcode4" 2 "mathcode3" 2 "MODULESD" 2 "MODULESC" 2 " ": 2 to","solve x 2 students"'"travelled less"'"than 2 students"'"travelled 2 students"'" 2 When you see the message below,press @ to leave the module. 2 In this module you got:- answers correct without a hint. 2 If you need more help, work through the following sections in the PAN STUDY AID. 2 ENTER the number of the module you wish to work through:- (0 if you have finished with these modules) 2 Do you wish to work through thenotes again before you attempt the questions? Press Y/N. 1 upper"'"quartile 1 mathcode4 X 1 mathcode3 X 1 iqr=365-160 1 interquartile 1 cumulative frequencies 1 accurately 1 _"'" 2+x"'"for the values"'"given below."''" Copy and"'"complete the"'"table and plot"'"the graph"'"before checking"'"each stage.": 1 MODULESD ALMOST READY 1 MODULESD > 1 MODULESD 1 MODULESC ALMOST READY 1 MODULESC > 1 MODULESC + 1 D 1 Cumulative 1 Created with Ramsoft MakeTZX 1 C 1 =x+3,","draw the graph","of y=",1 1 =x+1,","draw the graph","of y=",2 1 =x+1","then x 1 =4-2x,","draw the graph","of y=",1 1 ;''''"19. Finding the Mean from Grouped Data"''"20. Histograms"''"21. Cumulative Frequency Curves": 1 ;'''"13. Straight Line Graphs"'"14. Drawing Curved Graphs"'"15. Using Graphs to Solve Equations"'"16. Regions Described by Inequalities"'"17. Mean,Mode and Median"'"18. Frequencies": 1 ;"x=3 y=3X3-3=0"'" Plot (3,0)": 1 ;"x=3 y=3X3+2=11"'" Plot (3,11)": 1 ;"x=2 y=3X2+2=8"'" Plot (2,8)": 1 ;"x=2 y=3-2=1"'" Plot (2,1)": 1 ;"x1 2 3"; 1 ;"x0.5 1 1.5 2 2.5 2"; 1 ;"x-3 -2 -1 0 1 2 3 4"; 1 ;"x -1.5 -1 -0.5 0 0.5 1 2"; 1 ;"two 7's": 1 ;"two 6's"; 1 ;"two 4's"; 1 ;"two 2's"; 1 ;"seven 1's"; 1 ;"one 3"; 1 ;"ie. The"'"solutions are:-"'" x= 1 ;"four 5's"; 1 ;"`5 `6 `7 `8 `8": 1 ;"`3 `5 `2 `4": 1 ;"`2 `3 `4 `5": 1 ;"We see that:-"'" 1 ;"USING GRAPHS TO SOLVE EQUATIONS": 1 ;"The upper"'"quartile=610km.": 1 ;"The upper"'"quartile=550km.": 1 ;"The solutions"'"are x= 1 ;"The median"'" =460km.": 1 ;"The median"'" =360km.": 1 ;"The mean mass of a class of 25.": 1 ;"The lower"'"quartile=380km.": 1 ;"The lower"'"quartile=190km.": 1 ;"Suppose the distances travelled were:-"'" 1 ;"STRAIGHT LINE GRAPHS": 1 ;"SCORE FREQUENCY TOTALS"; 1 ;"REGIONS DESCRIBED BY"; 1 ;"Perhaps,"'"2 are between 50 and 55kg"'"4 are between 55 and 60kg"'"7 are between 60 and 65kg"'"5 are between 65 and 70kg"'"6 are between 70 and 75kg"'"1 is between 75 and 80kg": 1 ;"Page 106,108.": 1 ;"Module ";qu+18 1 ;"Module ";qu+12 1 ;"Mean of the 20 scores =68 1 ;"MEAN, MODE and MEDIAN": 1 ;"INEQUALITIES": 1 ;"HISTOGRAMS": 1 ;"Find the MEAN,MODE and MEDIAN ofthe following sets of numbers:-"''"(Enter any fractions as decimals.)": 1 ;"FREQUENCIES": 1 ;"FINDING THE MEAN FROM GROUPED"; 1 ;"Draw a smooth curve.": 1 ;"Distances travelled:-"'" 1 ;"DRAWING CURVED GRAPHS": 1 ;"CUMULATIVE FREQUENCY CURVES": 1 ;"77.5kg": 1 ;"72.5kg"; 1 ;"7 2 7X2=14"; 1 ;"7 62.5 437.5"; 1 ;"67.5kg"; 1 ;"62.5kg"; 1 ;"6 5 4 3 2 1 0 -1": 1 ;"6 2 6X2=12"; 1 ;"6 72.5 435"; 1 ;"57.5kg"; 1 ;"52.5kg"; 1 ;"5 4 1 5 1"; 1 ;"5 4 5X4=20"; 1 ;"5 67.5 337.5"; 1 ;"4 2 4X2= 8"; 1 ;"4 57.5 230"; 1 ;"3 3 3 3 3 3": 1 ;"3 2 1.5 1.2 1 0.75": 1 ;"3 1 3X1= 3"; 1 ;"2+x 0.5"; 1 ;"2 1 6 6 7"; 1 ;"2 2 2 2 2 2": 1 ;"2 2 2X2= 4"; 1 ;"2 52.5 105"; 1 ;"1622.5": 1 ;"100 200 1 ;"1 7 2 5 1"; 1 ;"1 3 4 1 5": 1 ;"1 1.5 2 2.5 3 4": 1 ;"1 7 1X7= 7"; 1 ;"1 77.5 77.5"; 1 ;"0 1 2 3 5 1"; 1 ;"0 0 0 0 0"; 1 ;"0 0 0 0 0 1 ;"0 50 150 300 400 500"; 1 ;"0 1 2 3 4 5"; 1 ;"0 2 4 6 1"; 1 ;"0 1 1.33 1.5 1.6 1.67": 1 ;"0 0 0 0"; 1 ;"0 0 0 0 1 ;"0 100 200 300 400 500"; 1 ;"-6 0 4 6 6 4 0 -6": 1 ;"-2 -1 -0.67-0.5-0.4-0.33": 1 ;"-1 0 1 2 3 4 5 6": 1 ;"(2+x)(3-x)": 1 ;" You should be"'"able to draw a"'"much more"'"accurate graph"'"on graph paper.": 1 ;" You can now see that there are, "; 1 ;" We have to estimate that, the first 2 are 'about' 52.5kg, the next 4 are 'about' 57.5kg, the next 7 are 'about' 62.5kg, and so on.": 1 ;" We can represent this data by aHISTOGRAM,in which the AREA of each rectangle is proportional to the frequency.": 1 ;" To calculate the 1 ;" These values,52.5,57.5,62.5,...are called the MID-INTERVAL values.": 1 ;" These are the FREQUENCIES of the scores."; 1 ;" The scores will first be sortedinto order.": 1 ;" The mean mass=1622.5 1 ;" The difference"'"between the two"'"quartiles is "'"called the"'" 1 ;" The class intervals are different and so the rectangles are of different widths. "'" Taking 1 unit to represent 50km,the 1 ;" The average we want may be:-"'"the 1 ;" Suppose that five pupils have week-end jobs and their earningsone week-end were:- "'" `5 `8 `6 `8 `7" 1 ;" Select your answers from the following numbers:-"''"115, 170, 180, 380, 460, 610": 1 ;" Press any key when you have drawn your cumulative frequency curve.": 1 ;" Pages 98 to 101.": 1 ;" Pages 68,69. ": 1 ;" Pages 63,65" 1 ;" Page 101.": 1 ;" Now select one of these numbersas the nearest answer to the following questions."''"21, 57, 180, 190, 360, 550": 1 ;" Mean,mode and median are all AVERAGES that tell us something about a set of numbers.": 1 ;" Look at these scores:-"; 1 ;" If we have an even number of scores,the 1 ;" How would you find the mean (average) mass of a class of pupils?"'" If there were 25 of them and their masses were 74kg,60.4kg, 67.5kg etc,you could add their masses to find the total and divide by 25.": 1 ;" How far did you travel on your holidays last summer?": 1 ;" Exercise 8a,page75.": 1 ;" Exercise 7b,qu 1 and 2,page 71.": 1 ;" Exercise 12b,Q.1(a),Q.2(a)p104.": 1 ;" Exercise 12b, page 104.": 1 ;" Equations like"'" 1 ;" Draw your cumulative frequency curves as 1 ;" Construct histograms to represent the following data."''" You will be asked for the widthand length of each rectangle."''" You should then draw your own histogram before checking.": 1 ;" Complete frequency tables to calculate the means of the following sets of scores:-"; 1 ;" Complete a cumulative frequencytable and check your answers before drawing the curve.": 1 ;" But we may not know the exact mass of each.": 1 ;" A survey of 50 students found how far they travelled:-"'" 6 less than 100km,"'"12 between 100 and 200km,"'"14 between 200 and 300km,"'"10 between 300 and 400km,"'"and"'" 8 between 400 and 500km.": 1 ;" A survey of 50 students found how far they travelled:-"'" 6 less than 100km,"'"12 between 100 and 200km,"'"14 between 200 and 300km,"'"10 between 300 and 400km,"'"and 8 between 400 and 500km.": 1 ;" (Enter any fractions as decimals.)": 1 ;" 20 travelled less than 100km 1 ;" "'" As the widths of the rectanglesare the same,the height of each rectangle is also proportional to the frequency.It is,however, the essential property of the histogram,that it is the 1 ;" ": 1 ;" ": 1 ; (`5+`8+`6+`8+`7) 1 999999999999999999999999999999999:999999999999999999999999999:999:8::8:89999999999999999999999999:8::8:8999999999999999999999999999999999999999999999999999999999999999999999<<<<<<<9999999999999999999999999<<<<<<<999999999999999<<<<<<<<<<<<<<<<<<<<<<<<<<<99999<<<<<<<<<<<<<<<<<<<<<<<<<<<99999<<<<<<<<<<<<<<<<<<<<<<<<<<<99999<<<<<<<<<<<<<<<<<<<<<<<<<<<999999999999999999999999999999999999999999::::::::::::::::9999999999999999::::::::::::::::9999999999999999::::::::::::::::99999999999999998888888889999999999999999999999988888888899988888888888999999999999999999999999999999999999999999999999999999999999999999888888888888888888888888888999998888888888888888888888888889999999999999999999999999999999999998888888888888888888888888888888888888888888888888888888888888888 1 999999999999999999999999999999999:888888899999999999999999989:999:8::8:88999999999999999999899999:8::8:8899999999999999999989999999999999999999999999999999999999888888888888<<<<<<<8888888888899888888888888<<<<<<<888888888889988<<<<<<<<<<<<<<<<<<<<<<<<<<<89988<<<<<<<<<<<<<<<<<<<<<<<<<<<89988<<<<<<<<<<<<<<<<<<<<<<<<<<<89988<<<<<<<<<<<<<<<<<<<<<<<<<<<899888888888888888888888888888888998888888::::::::::::::::8888888998888888::::::::::::::::8888888998888888::::::::::::::::88888889988888888888888888888888888888899888888888888888888888888888888998888888888888888888888888888889988888888888888888888888888888899888888888888888888888888888888998888888888888888888888888888889999999999999999999999999999999998888888888888888888888888888888888888888888888888888888888888888 1 6"," =2" 1 5= `34 1 50","=6.02" 1 5"," =2.8" 1 5"," =2.6" 1 40","=8.2" 1 4"," =2" 1 4"," =1.25" 1 2","=180km." 1 2","=14.5" 1 2","=115km." 1 2","=11.5" 1 2","=10.5" 1 2"," =1.5" 1 .Draw the graph"'"of y=x+1."; 1 .Draw the graph"'"of y=3- 1 .Draw the graph"'"of y=2+ 1 ."''" Some friends recorded how long their holiday postcards took to arrive."'"7 took between 1 and 4 days"'"8 took 5 or 6 days"'"6 took 7 or 8 days"'"6 took 9 or 10 days"'"8 took 11 or 12 days"'"5 took 13,14,15 or 16 days."''"Note this information carefully,especially the numbers of days, in order to complete the frequency table which follows.": 1 ."''" On another holiday the friends again recorded how long it took for their postcards to arrive and the results were:-"'"7 took 1 or 2 days"'"8 took 3 or 4 days"'"9 took 5 or 6 days"'"20 took 7 or 8 days"'"6 took 9 but not more than 12 days"'"Note this information carefully,in order to complete the frequency table which follows.": 1 ."'" This time they travelled:-"'"20 less than 200km"'"10 between 200 and 250km"'" 8 between 250 and 300km"'" 5 between 300 and 350km"'" 7 between 350 and 400km"'"16 between 400 and 500km"'"14 between 500 and 600km"'"20 between 600 and 1000km."'"(Let 1 unit = 50km)": 1 ."'" The distances travelled on holiday last year by 100 students were:-"'" 4 less than 50km"'" 6 between 50 and 100km"'"16 between 100 and 200km"'"12 between 200 and 300km"'"32 between 300 and 500km"'"30 between 500 and 1000km"'"(Let 1 unit = 50km)": 1 ."'" "'" The iqr and the"'"semi-iqr are often "'"used as measures of"'"spread or dispersion. ": 1 . The distances travelled on holiday last year by 100 students are shown below:-"'" 4 less than 50km,"'" 6 less between 50 and 100km,"'"16 between 100 and 200km,"'"12 between 200 and 300km,"'"32 between 300 and 500km,"'"and 30 between 500 and 1000km.": 1 . The distance travelled on holiday last year by 1000 students are shown below:-"'" 20 less than 100km,"'" 40 between 100 and 200km,"'" 40 between 200 and 300km,"'"200 between 300 and 400km,"'"320 between 400 and 500km,"'"120 between 500 and 600km,"'"180 between 600 and 800km,"'" 80 between 800 and 1000km."''" Complete the cumulative frequency table,then press key to check.": 1 . Now draw the"'"graph of"'" y=(x+2)(3-x)"'"for the given"'"range of values"'"of x."'" Complete each"'"stage before"'"pressing key to"'"check your work.": 1 . How can we"'"describe the"'"region NOT"'"shaded?"''"ENTER < or >"'"and an integer." 1 . How can we"'"describe the"'"region NOT"'"shaded."''"ENTER < or >"'"and an integer.": 1 . How can we"'"describe the"'"region NOT shaded?"''"ENTER < or >"'"and an integer.": 1 . Draw the"'"graph of y=_ 1 . "'" "'" In this case "'"the 1 . 1 ,the middle one when arranged in order of size.": 1 ,the commonest,ie. 1 ,is"'"such that one"'"quarter of the"'"scores are more "'"than 1 ,is"'"such that one"'"quarter of the"'"scores are less"'"than 1 ,are"'"represented by"'"STRAIGHT LINE"'"GRAPHS.We need"'"only choose 3"'"values of x to"'"give 3 points"'"through which"'"to draw these"'"graphs.To avoid"'"error,use small"'"positive"'"integers (or"'"zero) for the values of x.": 1 ,"y=x+1"," =3+1"," =4" 1 ,"y=x+1"," =2+1"," =3" 1 ,"y=x+1"," =1+1"," =2" 1 ,"x+3","",5 1 ,"k.The number of","students who","travelled more","than 600km=",1 1 ,"k.","The 6th product,"," fx=",1 1 ,"k.","The 5th product,"," fx=",1 1 ,"j.The number of","students who","travelled less","than 400km=",1 1 ,"j.","The 5th product,"," fx=",1 1 ,"j.","The 4th product,"," fx=",1 1 ,"i.The semi-inter","quartile range","= km",2 1 ,"i.","The 4th product,"," fx=",1 1 ,"i.","The 3rd product,"," fx=",1 1 ,"h.The upper","quartile= km",2 1 ,"h.","The 3rd product,"," fx=",1 1 ,"h.","The 2nd product,"," fx=",1 1 ,"h. Area=20"," Width=8"," Length=",1 1 ,"h. Area=20"," Width="," Length=",1 1 ,"g.The lower","quartile= km",2 1 ,"g.","The 2nd product,"," fx=",1 1 ,"g.","The 1st product,"," fx=",1 1 ,"g. Area=14"," Width=2"," Length=",1 1 ,"g. Area=14"," Width="," Length=",1 1 ,"f.The number of","students who","travelled more","than 700km=",1 1 ,"f.","The 1st product,"," fx=",1 1 ,"f. The median","= km",2 1 ,"f. The 5th mid-","interval value,"," x=",1 1 ,"f. Area=30"," Width=10"," Length=",1 1 ,"f. Area=30"," Width="," Length=",1 1 ,"f. Area=16"," Width=2"," Length=",1 1 ,"f. Area=16"," Width="," Length=",1 1 ,"e.The number of","students who","travelled less","than 350km=",1 1 ,"e. The 6th mid-","interval value,"," x=",1 1 ,"e. The 4th mid-","interval value,"," x=",1 1 ,"e. Having the","graph of"," y=(x+1)(x-2) to","solve","2(x+1)(x-2)=3","draw the graph","of y=",2 1 ,"e. Area=7"," Width=1"," Length=",1 1 ,"e. Area=32"," Width=4"," Length=",1 1 ,"e. Area=32"," Width="," Length=",1 1 ,"e. 0 1 4 2 2 3"," Mean=2"," Mode=2"," Median=",1 1 ,"e. 0 1 4 2 2 3"," Mean=2"," Mode=",1 1 ,"e. 0 1 4 2 2 3"," Mean=",1 1 ,"e. travelled","less than 1000km.",1 1 ,"d.The semi-inter","quartile range","= km",1 1 ,"d. The 5th mid-","interval value,"," x=",1 1 ,"d. The 3rd mid-","interval value,"," x=",1 1 ,"d. Having the","graph of"," y=(x+1)(x-2) to","solve"," (x+1)(x-2)=3","draw the graph","of y=",1 1 ,"d. Area=5"," Width=1"," Length=",1 1 ,"d. Area=12"," Width=2"," Length=",1 1 ,"d. Area=12"," Width="," Length=",1 1 ,"d. 0 1 2 2"," Mean=1.25"," Mode=2"," Median=",1 1 ,"d. 0 1 2 2"," Mean=",1 1 ,"d. 0 1 2 2 "," Mean=1.25"," Mode=",1 1 ,"d. travelled","less than 500km.",1 1 ,"c.The upper","quartile= km",1 1 ,"c.0 2.5 2.5 -2"," 3.6 4.4 -1 0","Total frequency","=8","Total score=10","Mean=",1 1 ,"c.0 2.5 2.5 -2"," 3.6 4.4 -1 0","Total frequency","=8","Total score","=",1 1 ,"c.0 2.5 2.5 -2"," 3.6 4.4 -1 0","Total frequency","=",1 1 ,"c.","When x=3,y=",1 1 ,"c. The 4th mid-","interval value,"," x=",1 1 ,"c. The 2nd mid-","interval value,"," x=",1 1 ,"c. Having the","graph of y=x 1 ,"c. Area=8"," Width=1"," Length=",1 1 ,"c. Area=16"," Width=2"," Length=",1 1 ,"c. Area=16"," Width="," Length=",1 1 ,"c. 0 4 2 2"," Mean=2"," Mode=2"," Median=",1 1 ,"c. 0 4 2 2"," Mean=",1 1 ,"c. 0 4 2 2 "," Mean=2"," Mode=",1 1 ,"c. travelled","less than 300km.",1 1 ,"b.The lower","quartile= km",1 1 ,"b. The 3rd mid-","interval value,"," x=",1 1 ,"b. The 1st mid-","interval value,"," x=",1 1 ,"b. Having the","graph of y=x 1 ,"b. Area=6"," Width=1"," Length=",1 1 ,"b. Area=10"," Width=1"," Length=",1 1 ,"b. 0 4 2 3 4"," Mean=2.6"," Mode=4"," Median=",1 1 ,"b. 0 4 2 3 4"," Mean=",1 1 ,"b. 0 4 2 3 4 "," Mean=2.6"," Mode=",1 1 ,"b. 0 1 2 0 2 2"," 7 5 7 4 4 2","Total frequency","=12","Total score=36","Mean=",1 1 ,"b. 0 1 2 0 2 2"," 7 5 7 4 4 2","Total frequency","=12","Total score","=",1 1 ,"b. 0 1 2 0 2 2"," 7 5 7 4 4 2","Total frequency","=",1 1 ,"b. travelled","less than 200km.",1 1 ,"a.The median","= km",1 1 ,"a.","When x=1,y=",1 1 ,"a. The total","frequency,f=",1 1 ,"a. The total","frequency,f,=",1 1 ,"a. Having the","graph of y=x 1 ,"a. Area=4"," Width=1"," Length=",1 1 ,"a. Area=20"," Width=4"," Length=",1 1 ,"a. Area=20"," Width="," Length=",1 1 ,"a. 1 4 2 3 4"," Mean=2.8"," Mode=4"," Median=",2 1 ,"a. 1 4 2 3 4"," Mean=",2 1 ,"a. 1 4 2 3 4 "," Mean=2.8"," Mode=",2 1 ,"a. 0 1 1 2 2"," 3 3 4 4 4","Total frequency","=10","Total score=24","Mean=",1 1 ,"a. 0 1 1 2 2"," 3 3 4 4 4","Total frequency","=10","Total score","=",1 1 ,"a. 0 1 1 2 2"," 3 3 4 4 4","Total frequency","=",1 1 ,"a. travelled","less than 100km.",1 1 ,"Total number of","postcards=50" 1 ,"Total number of","postcards"," =40" 1 ,"The semi-iqr","=(610-380) 1 ,"The median=360km" 1 ,"Semi-iqr=Q2-Q1.",3 1 ,"Mean=36/12"," =3" 1 ,"Mean=24/10"," =2.4" 1 ,"Mean=10/8"," =1.25" 1 ,"If 2(x+1)(x-2)=3","then:-"," (x+1)(x-2)=1.5",2 1 ,"Draw"," y=1.5 (or 3/2)" 1 ,"Draw y=x+3" 1 ,"Draw y=4-2x" 1 ,"Draw y=3" 1 ,"Check definition","of mode. p98.",1 1 ,"Check definition","of median.p98.",1 1 ,"Check definition","of median. p98.",2 1 ,"Check definition","of mean. p98.",3 1 ,">2","",3 1 ,">-1","",3 1 ,"=(550-190) 1 ,"<2","",5 1 ,"9X5.5","=49.5" 1 ,"92","",4 1 ,"9.5","",3 1 ,"8X5.5","=44" 1 ,"8X3.5","=28" 1 ,"8X11.5","=92" 1 ,"8.2","",7 1 ,"7X2.5","=17.5" 1 ,"7X1.5","=10.5" 1 ,"72.5","",4 1 ,"70","",2 1 ,"6X9.5","=57" 1 ,"6X7.5","=45" 1 ,"6X10.5","=63" 1 ,"63","",4 1 ,"610","",9 1 ,"600 to 1000","8 units" 1 ,"6.02","",7 1 ,"5X14.5","=72.5" 1 ,"57","",4 1 ,"57","",11 1 ,"550","",9 1 ,"500 to 600","2 units" 1 ,"500 to 1000","10 units" 1 ,"50","",13 1 ,"5.5","",3 1 ,"49.5","",4 1 ,"460","",1 1 ,"45","",4 1 ,"44","",4 1 ,"400 to 500","2 units" 1 ,"40","",12 1 ,"4-2x","",5 1 ,"4+6+16=26" 1 ,"4+6+16+12=38" 1 ,"4+6+16+12+32=70" 1 ,"4+6+16+12+32+30"," =100" 1 ,"4 units" 1 ,"380","",9 1 ,"38","",2 1 ,"360","",1 1 ,"36","",1 1 ,"328","",11 1 ,"301","",11 1 ,"300 to 500","4 units" 1 ,"3.5","",3 1 ,"3 units" 1 ,"28","",4 1 ,"26","",2 1 ,"24","",1 1 ,"21","",11 1 ,"20X7.5","=150" 1 ,"200 to 300","2 units" 1 ,"2.8","",6 1 ,"2.6","",6 1 ,"2.5","",8 1 ,"2.5 units" 1 ,"2.4","",5 1 ,"190","",9 1 ,"180","",11 1 ,"180","",1 1 ,"170","",11 1 ,"17.5","",4 1 ,"150","",4 1 ,"14.5","",3 1 ,"12","",1 1 ,"115","",1 1 ,"11.5","",3 1 ,"1000-830","=170 students" 1 ,"100-79","=21 students" 1 ,"100","",2 1 ,"100 to 200","2 units" 1 ,"10.5","",4 1 ,"10.5","",3 1 ,"10","",2 1 ,"10 units" 1 ,"1.5","",8 1 ,"1.5","",5 1 ,"1.5","",3 1 ,"1.25","",6 1 ,"1.25","",5 1 ,"1+4+2+3+4=14","Mean=14 1 ,"1","",11 1 ,"0.5x+0.5","",5 1 ,"0+4+2+3+4=13","Mean=13 1 ,"0+4+2+2=8","Mean=8 1 ,"0+1+4+2+2+3=12","Mean=12 1 ,"0+1+2+2=5","Mean=5 1 ,"0 to 200","4 units" 1 ,""," y>x 1 ,""," y",1 1 ,""," y x",1 1 ,""," x+y",1 1 ,""," x",1 1 ," One quarter of","scores are","greater than","upper quartile.",1 1 ," One quarter of","scores are less","than lower","quartile.",1 1 ," 180 students" 1 ," 1 2 3 4 4","Median=3" 1 ," 0 2 3 4 4","Median=3" 1 ," 0 2 2 4","Median=(2+2) 1 ," 0 1 2 2","Median=(1+2) 1 ," 0 1 2 2 3 4","Median=2" 1 ," x+y<2" 1 , which"'"contain only"'"terms in 1 , the x-coordinates of the points in which they intersect are the solutions of 1 ''"Then the module again." 1 ''" Draw your cumulative frequency curve. This time it will not be displayed until after you have answered the questions.": 1 "," 2"," =3-2"," =1" 1 "," 2"," =3-1"," =2" 1 "," 2"," =3-0"," =3" 1 "," 2"," =2+2"," =4" 1 "," 2"," =2+1"," =3" 1 "," 2"," =2+0"," =2" 1 "," 2 2","(Enter as"," y=0.5x+0.5)" 1 "," 2 2",4 1 "''" The region NOT"'"shaded shows all"'"points whose y"'"coordinates are"'"less than twice"'"their x"'"coordinates,"'" ie. 1 "''" The region NOT"'"shaded shows all"'"points whose y"'"coordinates are"'"less than the"'"square of their"'"x coordinates,"'" ie. 1 "''" The region NOT"'"shaded shows all"'"points whose y"'"coordinates are"'"greater than 1,"'" ie. 1 "''" The region NOT"'"shaded shows all"'"points whose x"'"coordinates are"'"less than 2,"'" ie. 1 "'""'"x=1 y=3-1=2"'" Plot (1,2)": 1 "'" x"'"for the given"'"range of values"'"of x."''" Complete the"'"table and plot"'"the points on the graph.": 1 "'" 1 " ": 1 to","solve 2x 1 the data on paper first.": 1 students"'" travelled less than 100km,"'" 1 score:-"; 1 of each rectangle equals the number of students who travelled each distance.": 1 less than 50km,"'" 1 less than 100km,"'" 1 is halfway between the middle two.": 1 decimals"'"if necessary"'"not fractions.": 1 canbe represented on a CUMULATIVE FREQUENCY CURVE.": 1 between 50 and 100km,"'" 1 between 400 and 500km."; 1 between 400 and 500km.": 1 between 300 and 400km,"'"and"'" 1 between 300 and 400km"'"and"'" 1 between 200 and 300km,"'" 1 between 200 and 300km"'" 1 between 150 and 200km,"'" 1 between 100 and 200km,"'" 1 between 100 and 150km,"'" 1 as the following data permits,and use them to answer the questions."''" You will need to 1 and"," y",1 1 and is"'"read against"'" 1 and is read"'"against 1 Draw the "'"graph of"'" 1 Draw the "'"graph of "'" 1 (6+12+14+10+8) less than 500km.": 1 (6+12+14+10) less than 400km,"'" 1 (6+12+14) less than 300km,"'" 1 (6+12) less than 200km,"'" 1 To use Module again, press R Press S to STOP 1 To use Module again, press R Pree S to STOP 1 Draw the"'"graph of y=2- 1 "''"we write the equation 1 that must be proportional to thefrequency.": 1 and draw the straight line 1 "''"and we want to solve 1 "'"distance "'"travelled is "'"measured "'"against 25.5 on"'"the cumulative"'"frequency axis"'"and is about"'" 1 and the graph of 1 "'" "'"x=1 y=3X1+2=5 "'" Plot (1,5) ": 1 1000km." 1 800km 1 600km 1 500km 1 400km 1 300km 1 200km 1 There is no score for this module. 1