Mathematics Final AssignmentStatisticMathematics [MATH 0103]Group AssignmentYap Zhi Jun (0310738)TohChee Cheng (0311122)Yap Zhong Lin (0310557)Wong Li Hui Amy (0312406)Ian See TzeOnn (0311883)Zachery Sebastian (0311079)
IntroductionWith the vast change in technology in the present day, carrying out our dailyactivities is made easier and more efficient. Majority of the students in universities todayare in need of a laptop to carry out their assignments and organize their documents.That is why Taylor‟s University wants to design a laptop that suits the requirements andexpectations of a university and college student. With the personalized laptop designedby Taylor‟s University, students can further enhance and improve their education aspect.However, it is important to design a laptop that is ideal for a university student. That iswhy a survey is conducted to obtain further information of the aspects andconsiderations of a student when purchasing a laptop.
Question 1Do you have a personal laptop/computer at home with access to the internet?A. Yes, my own deviceB. Yes, a shared family deviceC. NoFrequency Table (Ungrouped Data)ResponseNumber ofStudentsCumulativefrequencyPercentage, %Yes, my owndevice110 110 72%Yes, a sharedfamily device33 143 22%No 9 152 6%Calculations:1. Modal class = 110 (yes, my own device)ConclusionAs a conclusion, this question is to survey the number of people with their personallaptop, shared family laptop or no laptop at all. There are total of 152 studentscompleted this survey. There are 110 students who own a personal laptop, 33 studentshaving a shared family device.6%72%22%0ResponsesNoOwn DeviceShared Family Device
Question 2- Which brand(s) of laptop do you have?A - Apple F - LenovoB - BenQ G - SamsungC - Dell H - SonyD - Asus I - ToshibaE - HP J - OthersFrequency Table (Ungrouped Data)Laptop Brand Number ofstudentsCumulativeFrequencyPercentage, %Apple 17 17 13BenQ 8 25 6Dell 17 42 13Asus 28 70 21HP 16 86 12Lenovo 8 94 6Samsung 7 101 5Sony 13 114 10Toshiba 10 124 7Others 11 135 8Calculations:1. Modal Class = 28 (Asus Laptop)ConclusionAs a conclusion, this question is to survey the types of laptop that students are using. There area total of 152 students that answered this survey forms. The most used laptop brand among thestudents is the Asus laptop and the least used laptop is Samsung laptop.1781728168 71310 11051015202530Laptop BrandsNumber of Students
Question 3Why will you choose the laptop brand you have chosen above?A - Design F - Installed MemoryB - Price G - Screen SizeC - Audio H - Battery LifeD - Graphic I - WeightE - Processor Type and Speed J - OthersFrequency Table (Ungrouped Data)Reasons Number ofstudentsCumulativeFrequencyPercentage, %Design 60 60 14Price 67 127 16Audio 28 155 7Graphic 62 217 15Processor type andspeed75 292 18Installed Memory 42 334 10Screen Size 25 359 6Battery Life 29 388 7Weight 30 418 7Other 7 425 2CalculationModal Class = 75 (Processor type and speed)6067286275422529 30701020304050607080Reasons of choosing the laptopNumber of students
ConclusionThis question is to survey the reason why students actually bought the laptop that theyare currently using. There are a total of 152 students that answered this survey forms.Most of them bought the laptop because of the processor type and the speed of thelaptop. The second reason is because of the price of the laptop.
Question 4If you are going to buy a new laptop, what will be your consideration?A - Design F - Installed MemoryB - Price G - Screen SizeC - Audio H - Battery LifeD - Graphic I - WeightE - Processor Type and Speed J - OthersFrequency Table (Ungrouped Data)Criteria Number ofstudentsCumulativeFrequencyPercentage, %Design 54 54 11%Price 75 129 15%Audio 33 162 7%Graphic 71 233 15%Processor type andspeed86 319 18%Installed Memory 53 372 11%Screen Size 28 400 6%Battery Life 48 448 10%Weight 40 488 8%Other 1 489 0%Calculations54753371865328484010102030405060708090100Consideration of CriteriaNumber ofstudents
1. Modal class = 86 (Processor type and speed)ConclusionThis question is to survey the aspect and criteria of choosing a laptop upon purchasingone. There are a total of 152 students that answered this survey forms. Most of themmade the processor type and the speed of the laptop as their first consideration. Thesecond consideration is the price of the laptop.
Question 5:What is your prefer screen size?a. 11-12 inchb. 12-13 inchc. 13-14 inchd. 14-15 inche. 15-16 inchf. 16-17 inchFrequency Table (grouped data)Length(inch)Number ofstudent, fCumulativeFrequencyMidpoint Fxx11-12 10 10 (11+12)/2=11.5 10 x 11.5 = 11512-13 14 24 (12+13)/2=12.5 14 x 12.5 = 17513-14 40 64 (13+14)/2=13.5 40 x 13.5 = 54014-15 34 98 (14+15)/2=14.5 34 x 14.5 = 49315-16 30 128 (15+16)/2=15.5 30 x 15.5 = 46516-17 26 154 (16+17)/2=16.5 26 x 16.5 = 429Total 152 22171014403430260 5 10 15 20 25 30 35 40 4511.-1212.-1313.-1414.-1515.-1616.-17Students prefer screen size (inch)no of students
3. Median class = 0 to 2 kg (76thterm)4. Median value= Lm + c= -0.95 + 3= -0.95 + 2.533= 1.583kg5. Mean=== 1.882 kgCalculations:1. Modal length =13kg to 14kg2. Mode value= Lm + c= -0.95 + 3= -0.95 + 3= -0.95 + 2.195= 1.245 kgConclusionThis question is to survey the sizes of screen size that students prefer. There aretotal of 152 students completed this survey. 10 students chose screen size of 11-12 inches, 14 students chose screen size of 12-13 inches, 40 students chosescreen size of 13-14 inches,34 students chose screen size of 14-15 inches,30students chose screen size of 15-16 inches,26 students chose screen size of 16-17 inches. In this question, the modal class is screen size of 13-14 inches, themedian value is 76.5, which is located at the screen size of 13-14. Finally, themean is 25.33.
Question 6Are you a heavy task user?A – Yes B – NoFrequency Table ( Ungrouped Data)Type of User Number of student, f Cumulative FrequencyHeavy 82 82Light 70 152Total 152Calculations1. Modal class = Heavy Task UserIt has the highest number of voting.ConclusionThis question is to survey the types of task user of students. There are total of 152students answered this survey forms. 82 students chose Heavy Task User, while 70students chose Light Task user. From this question, we can conclude that majority ofthe students are Heavy Task User.82706466687072747678808284Heavy LightNumber of Heavy & Light Task UserNo of student
Question 7How many programs do you usually launched at one time?A – 1 D – 4B – 2 E - 5C – 3 F - 6Frequency Table ( Ungrouped Data)Time Number of student, f Cumulative frequency Percentage,%1 5 5 5/152 x 100%=3.29%2 33 3833/152 x100%=21.711%3 42 8042/152 x100%=27.632%4 16 9616/152 x100%=10.53%5 22 11822/152 x100%=14.474%6 34 15234/152 x100%=22.37%Total 152 100%3%22%28%11%14%22%Number of programs launched at onetime1 time2 time3 time4 time5 time6 time
Calculations1. Modal class = 3 timesIt has the highest number of voting.2. Median ===76.5The median class is 3 timesConclusionThis question is to survey the Number of programs launched at one time .There aretotal of 152 students completed this survey. 5 students launch 1 at one time, 33students launch 2 at one time,42 students launch 3 times at one time,16 studentslaunch 4 times at one time, 22 students launch 5 times at one time, 34 students launch6 times at one time.3. Mean == /6= 525.33
Question 8- What is your minimum requirement on RAM when choosing a laptop?a. 2GBb. 4GBc. 8GBd. 16GBe. 32GBFrequency Table (ungrouped data)RAM (GB) Number of students2 244 248 5816 3232 14Total 152CalculationsMode = Media Capabilities (highest vote)ConclusionThis survey is conducted to find out what is the minimum requirement on RAM whenchoosing a laptop. There are 152 students participated in this survey. Students areallowed to vote one choice for this survey question. According to the survey’s result,we found that there are 24 students require 2GB RAM and 4 GB RAM respectivelywhen choosing a laptop, 58 students require 8 GB RAM, 32 students require 16GBRAM and 14 students require 32 GB RAM.As a conclusion, most of the studentsrequire 8 GB Ram when choosing a laptop. Which are also the mode data in thissurvey.24245832140 10 20 30 40 50 60 702GB4GB8GB16GB32 GBStudents prefer RAM for laptopNumber of students
Question 9:Is the graphic of your laptop important to you?A - Yes (Proceed to No.10) B - No (Proceed to No.11)Frequency Table (Ungrouped Data)Importance of Graphic Number of Students, f Cumulative FrequencyYes 109 109No 43 152Total 152Calculation1. Modal Class = YesIt has the highest number of voting.2. Median ===76.5The median class is Yes.3. Mean === 760 20 40 60 80 100 120YesNoThe Importance of Graphic by StudentsThe Importance of Graphic byStudentsConclusionIn conclusion, 109 out of 43students said that the graphics forcomputers are important. From thisquestion, we can conclude thatmore people agreed on theimportance of the graphic forlaptop.
Question 10:If yes, why is the laptop graphic important to you?A - GamingB - DesignC - VideoFrequency TableReasons Number of Students, f Cumulative FrequencyGaming 51 51Design 51 102Video 43 145Other 0 145Calculation1. Modal Class = Gaming and DesignIt has the highest number of voting.2. Median === 76.5The median class is Gaming and Design.3. Mean === 36.2551 51 4300204060Gaming Design Video OtherStudents Reasons on The Importance of GraphicReasonsConclusionFor this survey, only the students who chose“yes” for the importance of graphic in question9 are to answer this question and only 145students answered “yes”. This question is tosee why student chose “yes” for theimportance of graphic. 51 out of 145 studentschose both gaming and design as theimportance of graphics in laptops and only 43students chose video. From this question, wecan conclude that the number of students whochose video & design are the same which is 51each.
Question 11:How often do you purchase laptops on an annual basis?A - 1 to 2 B - 3 to 4C - 5 to 6 D - When necessaryFrequency TableResponds Number of Students, f Cumulative Frequency1 to 2 15 153 to 4 12 275 to 6 9 36When necessary 116 152Total 152Calculation1. Modal Class = When NecessaryIt has the highest number of voting.2. Median === 76.5The median class is When Necessary.3. Mean === 3815126116Students Responds1 to 23 to 45 to 6When NecessaryConclusionIn conclusion, 116 out of 152 studentsonly buy the laptop when necessary.15 students purchase laptop 1 to 2times on an annual basis whereas 12students purchase 3 to 4 laptops and9 students purchase 5 to 6 laptops onan annual basis. From this question,we can conclude that majority ofstudents only buy the laptop whennecessary.
Question 12:How long do you expect the battery life to last?A - 1 year D - 4yearsB - 2 years E - 5 yearsC - 3 years F - 6 yearsFrequency Table (Ungrouped Data)Years, xNumber ofstudent, fCumulativefrequency, Ff(x)1 1 1 1 x 1 = 12 17 18 17 x 2 = 343 30 48 30 x 3 = 904 10 58 10 x 4 = 405 16 74 16 x 5 = 806 78 152 78 x 6 = 468Total 152 713Calculation:3. Modal Class = 6 years4. Mean = Σfx/f= (1+34+90+40+80+468)/152= 713/152= 4.6911. Mode = 6 years2. Median = (n+1)/2= (152+1)/2= 153/2= 76.5thterms (6 years)1 1730101678Relationship between battery life oflaptop and students1 year2 years3 years4 years5 years6 yearsConclusionThere are total of 152 students in thissurvey to find out the battery life of laptopthey prefer. Only one student chose 1 year,17 students chose 2 years, 30 studentschose 3 years, 10 students chose 4 years,16 students chose 5 years and 78 studentschose 6 years. In this question, the modalclass is class 6 years which is same as themode. Besides, the median class is a76.5th term which is 6 years too. Lastly, themean is 4.691.
23264018 7 2Relationship between students andprice of laptopRM1000- RM2000RM2000 - RM 3000RM3000 - RM4000RM4000 - RM5000RM5000 - RM6000RM6000 - RM7000Question 13:How much are you willing to spend for buying a laptop?A – RM1000 to RM 2000 D - RM 4000 to RM5000B - RM 2000 to RM 3000 E - RM5000 to RM6000C - RM 3000 to RM 4000 F - RM6000 to RM 7000Frequency Table (Grouped Data)Price (RM),Number ofstudent, fCumulativeFrequency, FMidpoint, x f(x)1000 - 2000 23 23 3000/2 = 1500 345002000 - 3000 26 49 5000/2 = 2500 650003000 - 4000 40 89 7000/2 = 3500 1400004000 - 5000 18 96 9000/2 = 4500 675005000 - 6000 7 103 11000/2 = 5500 385006000 - 7000 2 105 13000 = 6500 13000Total 152 358500Calculation:1. Modal Class = RM 3000 to RM 40002. Mode= Lm + c= 2999+ x1000= RM 33883. Median class = (n+1)/2= 153/2= 76.5thterms(RM 3000 to RM 4000)4. Median = Lm + c= 2999+ x1000= RM 36745. Mean == 358500/ 152= RM 2359ConclusionIn this survey we want to find out how muchstudents are willing to pay for a laptop. 23students prefer price range between RM1000 toRM2000, 26 students prefer RM2000 to RM3000,40 students prefer RM3000 to RM4000, 18students prefer RM4000 to RM5000, 7 studentsprefer RM5000 to RM6000 and only 2 studentsprefer RM6000 to RM7000. The modal class isRM3000 to RM4000 which is the same asmedian class. The mode value is RM3388,median is RM 3674 and mean is RM2359.
Question 14:How concerned were you with the warrantee that came with your laptop?A - Very ConcernedB - Still OKC - Doesn‟t Matter/ IgnoredFrequency Table (Ungrouped Data)Importance Number of student, f Cumulative FrequencyVery Concerned 76 76Still OK 60 136Doesn‟t Matter/Ignored 16 152Total 152Mode = Very ConcernedConclusionThis question is to survey whether students are concerned on the warrantee of a laptop.There are total of 152 students answered this survey forms. 76 students are veryconcerned with the warrantee, 60 students are still ok with it and 16 students ignoredthe warrantee. From this question, we can conclude that most of the students are veryconcerned on the warrantee of a laptop.0 20 40 60 80Very concernedStill OKDoesnt Matter/Ignored766016The relationship between students and importance ofwarranteeThe relationship betweenstudents and importance ofwarrantee
Question 15:Base on hardware features of a laptop stated below, which is the most importantfor you? (Can choose more than 1 answer)A - Screen Size D - PortabilityB - Battery Life E - Wi-FiC - Media Capabilities F - Fill KeyboardFrequency Data ( Ungrouped Data)CalculationsMode = Media CapabilitiesConclusionThis survey is conducted to find out which laptop‟s hardware features are most important for students.There are 152 students participated in this survey. Students are allow to vote more than one choice forthis survey question. According to the survey‟s result, we found that there are 22 students think thatscreen size will be the most important hardware features to them in choosing a laptop, 34 students thinkthat fill keyboard is the most important, 37 students think that battery life is the most important, 52students think that portability is the most important, 53 students think that Wi-Fi feature is the mostimportant and 82 of the students think that media capabilities is the most important features to them. Asa conclusion, most of the students think that media capabilities are the most important features of alaptop. Which are also the mode data in this survey.Hardware Features Number of voteScreen Size 22Battery Life 37Media Capabilities 82Portability 52Wi-Fi 53Fill Keyboard 340 20 40 60 80 100Screen SizeMedia CapabilitiesWi-Fi223782525356Importance of laptop features between studentsNo of vote
Question16:What type of laptop do you prefer?A - Hybrid LaptopFrequency Table ( Ungrouped Data)B - Traditional LaptopCalculations1. Modal class = Hybrid LaptopIt has the highest number of voting.2. Median ===76.5The median class is Hybrid Laptop.Type of Laptop Number of student, f Cumulative FrequencyHybrid 85 85Traditional 67 152Total 1523. Mean === 768567020406080100Hybrid Laptop Traditional LaptopNumber of Students In Choosing The Type of LaptopNumber of Students In ChoosingThe Type of LaptopConclusionThis question is to survey the types oflaptop that students prefer. There are totalof 152 students answered this surveyforms. 85 students chose Hybrid Laptop,while 67 students chose Traditional Laptop.From this question, we can conclude thatmore people preferred Hybrid Laptop thanTraditional Laptop. The median class isHybrid Laptop‟s class and the mean is 76.
Question 17:Which laptop core processor do you prefer?A - Intel core i3B - Intel core i5C - Intel core i7Frequency Table ( Ungrouped Data)Calculations1. Modal class = Intel core i7It has the highest number of voting.2. Median ===76.5The median class is Intel core i7.Core ProcessorTypeNumber ofstudent, fCumulativeFrequencyPercentage, %Intel core i3 16 16 x 100% = 10.52 %Intel core i5 44 60 x 100% = 28.95 %Intel core i7 92 142 x 100% = 60.53 %Total 1523. Mean === 50.6711%29%60%Students Preferrable Laptops Core Processor TypeIntel core i3Intel core i5Intel core i7ConclusionThis question is to survey the types of coreprocessor that students prefer. There aretotal of 152 students completed this survey.16 students chose Intel core i3, 44 studentschose Intel core i5, 92 students chose Intelcore i7. In this question, the modal class isIntel core i7, the median value is 76.5,which is located in the class of Intel core i7.Finally, the mean is 50.67.
Question 18 :What is your prefer weight for the laptop?a. 0kg to 2kgb. 2kg to 4kgc. 4kg to 6kgd. 6kg to 8kgFrequency Table ( Grouped Data )Weight(kg)Number ofstudent, fCumulativeFrequencyMidpoint x f x x0 to 2 90 90 = 1 90 x 1 = 902 to 4 57 147 = 3 57 x 3 = 1714 to 6 5 152 = 5 5 x 5 = 256 to 8 0 152 = 7 0Total 152 2863. Median class = 0 to 2 kg (76thterm)4. Median value= Lm + c= -0.95 + 3= -0.95 + 2.533= 1.583kg5. Mean=== 1.882 kgCalculations:1. Modal class = Class 0kg to 2kg2. Mode value= Lm + c= -0.95 + 3= -0.95 + 3= -0.95 + 2.195= 1.245 kgConclusionThere are total of 152 students in this surveyto find out what weight of laptop they prefer.90 students chose 0 to 2 kg, 57 studentschose 2 to 4 kg, 5 students chose 4 to 6 kgand no students chose 6 to 8 kg of laptop. Inthis question, the modal class is class 0kg to2kg and the mode value is 1.245kg. Besides,the median class is 0kg to 2kg and medianvalue is 1.583kg. Lastly, the mean is 1.882kg.59%38%3% 0%Relationship between weight oflaptop and students0 to 2 kg2 to 4 kg4 to 6 kg6 to 8 kg
Question 19:When purchasing a laptop, these are a few features that would influence your decision.What would it be? (Can choose more than one)a. Diagonal Screen Sizeb. Weightc. Hard Drive Capacityd. Processor type and speede. Installed Memoryf. Product DesignFrequency Table (ungroup table)Laptop Features Number of voteProduct Design 56Installed Memory 68Processor type and speed 105Hard drive capacity 86Weight 65Diagonal screen size 390 20 40 60 80 100 120Diagonal Screen SizeWeightHard Drive CapacityProcessor type and speedInstalled MemoryProduct Design3965861056856Importance of laptop features between studentsMode = Processor type and speed (Highest vote)Conclusion:In this survey we want to find out which laptop features are importance for students. There are152 students filled in this survey and we got 419 votes. From the least vote to highest vote:diagonal screen size (39), product design (56), weight (65), Installed memory (68), hard drivecapacity (86), processor type and speed (105). The mode is processor type and speed. Throughthis data we know that students more focus on hard drive capacity and processor type and speedof a laptop than the diagonal screen size and product design of a laptop.
Question 20:Finally, would u purchase a laptop designed by Taylor’s company?a. Yesb. NoFrequency Table (ungroup data)Calculations1. Modal class = NoIt has the highest number of voting.Student’s choice Number of student, f Cumulative FrequencyYes 56 56No 96 152Total 1525696020406080100120Yes NoChoice of student whether want to buy laptop designed byTaylors companyChoice of student whether want tobuy laptop designed by TaylorscompanyConclusionThis question is to survey whether students would buy laptop designed by Taylor‟scompany. There are total of 152 students answered this survey forms.56 studentschose to buy, while 96 students chose not to buy. From this question, we canconclude that more people not confident with Taylor‟s company designed laptop. Themedian class is „no‟ class.
ConclusionBased on the survey conducted there are many information and aspects to focus onupon designing the Taylor‟s laptop. Students today prefer hybrid laptops compared totraditional laptops. Majority of them are also looking for a laptop with a good processorand high speed functionality. Besides that, they prefer the screen size of a laptop to be13 to 14 inches. Most of the students today are also heavy task users. That is whymajority of them requires a minimum of 8GB RAM when they make their considerationon purchasing a laptop. The graphic of the laptop is also one of the concerns of thestudents on the laptop. They also think that the media capabilities of a laptop areequally important. However, majority of them are willing to spend a total amount ofRM2000 to RM3000 on a laptop. Nonetheless, they are also very concerned about thewarrantee that comes along with the laptop. Based on the information gathered,Taylor‟s University can focus on the aspects to design a laptop that is suitable for thestudents today.