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It includes distribution identification and mean/variance calculations, independence and conditional probability questions, normal-model quartile-based parameter estimation with model critique, median/quartile and box-plot analysis from a back-to-back stem-and-leaf diagram, binomial probability distribution and expected value/variance for a league netball scenario, and scatter/regression analysis using provided temperature and absence-percentage data.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/solomon-practice-paper-statistics-s1-i/503535/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/solomon-practice-paper-statistics-s1-i/503535.png","ImageObject",300,407,{"name":92,"@type":93},"Franzy","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-10-03",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the total time and mark allocation of the Statistics S1 - I practice paper?","Question",{"text":112,"@type":113},"The paper allows 90 minutes and totals 75 marks across six questions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of statistical methods are used in Question 3?",{"text":117,"@type":113},"Question 3 uses quartiles from waiting-time data to infer an appropriate normal model, then calculates mean and variance and evaluates the model’s suitability.",{"name":119,"@type":110,"acceptedAnswer":120},"What do Question 6 (scatter and regression) analyze?",{"text":121,"@type":113},"Question 6 studies the relationship between temperature at 9 am and the percentage of students absent, using scatter diagrams, correlation, and regression to obtain an equation and draw the regression line.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},503535,1791347159,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":34,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144},2336478945519,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Solomon Practice Paper Statistics S1 – I  \nTime allowed: 90 minutes  \nCentre: [www.CasperYC.club](www.CasperYC.club)[ ](www.CasperYC.club)Name:  \nTeacher:  \n\n| Question | Points | Score |\n| --- | --- | --- |\n| 1 | 8 |  |\n| 2 | 10 |  |\n| 3 | 11 |  |\n| 4 | 14 |  |\n| 5 | 16 |  |\n| 6 | 16 |  |\n| Total: | 75 |  |\n\nHow I can achieve better:  \nLast updated: December 24, 2025   \n1. (a) i. Name a suitable distribution for modelling the volume of liquid in bottles of wine sold [2] as containing 75 cl.  \nii. Explain why the mean in such a model would probably be greater than 75 cl.  \n(b) i. Name a suitable distribution for modelling the score on a single throw of a fair four-sided [6] die with the numbers 1, 2, 3 and 4 on its faces.  \nii. Use your suggested model to find the mean and variance of the score on a single throw of the die.  \nTotal: 8  \n[www.CasperYC.club](www.CasperYC.club) Last updated: December 24, 2025  \n2. The events A and B are independent and such that  \n1  \nPr(A) = 2 Pr(B) and Pr(A ∩ B) =  \n8 .  \n(a) Show that Pr(B) = ~~1~~4 [5]  \n(b) Find Pr(A ∪ B) . [3]  \n(c) Find Pr(A|B􀀂 ) . [2]  \nTotal: 10  \n[www.CasperYC.club](www.CasperYC.club) Last updated: December 24, 2025  \n3. A call-centre dealing with complaints collected data on how long customers had to wait before an operator was free to take their call.  \nThe lower quartile of the data was 12 .7 minutes and the interquartile range was 5 .8 minutes.  \n(a) Find the value of the upper quartile of the data. [1] It is suggested that a normal distribution could be used to model the waiting time.  \n(b) Calculate correct to 3 significant figures the mean and variance of this normal distribution [8] based on the values of the quartiles.  \nThe actual mean and variance of the data were 15 .3 minutes and 20 . 1 minutes2 respectively.  \n(c) Comment on the suitability of the model. [2]  \nTotal: 11  \n[www.CasperYC.club](www.CasperYC.club)  \nLast updated: December 24, 2025  \n4. A College offers evening classes in GCSE Mathematics and English.  \nIn order to assess which age groups were reluctant to use the classes, the College collected data on the age in completed years of those currently attending each course. The results are shown in this back-to-back stem and leaf diagram.  \nTotals Mathematics Age English Totals  \n(6) 9 9 9 8 8 7 | 1 | 9 9 (2)  \n(8) 8 5 3 1 1 1 0 0 | 2 | 0 1 3 5 5 8 (6)  \n(7) 7 6 6 4 2 2 1 | 3 | 2 3 7 9 (4)  \n(4) 9 7 5 4 | 4 | 0 2 6 8 9 (5)  \n(3) 8 6 0 | 5 | 0 3 7 7 (4)  \n(2) 5 2 | 6 | 2 4 4 8 (4)  \n(0) | 7 | 1 (1)  \nKey: 1 |3| 2 means age 31 doing Mathematics and age 32 doing English  \n(a) Find the median and quartiles of the age in completed years of those attending the Mathe- [4] matics classes.  \n(b) On graph paper, draw a box plot representing the data for the Mathematics class. [3]  \nThe median and quartiles of the age in completed years of those attending the English classes are 25, 41 and 57 years respectively.  \n(c) Draw a box plot representing the data for the English class using the same scale as for the [3] data from the Mathematics class.  \n(d) Using your box plots, compare and contrast the ages of those taking each class. [4] Total: 14  \n[www.CasperYC.club](www.CasperYC.club)  \nLast updated: December 24, 2025  \n5. A netball team are in a league with three other teams from which one team will progress to the next stage of the competition. The team’s coach estimates their chances of winning each of their three matches in the league to be 0.6, 0.5 and 0.3 respectively, and believes these probabilities to be independent of each other.  \n(a) Show that the probability of the team winning exactly two of their three matches is 0.36 . [4] Let the random variable W be the number of matches that the team win in the league.  \n(b) Find the probability distribution of W. [4]  \n(c) Find E(W ) and Var(W ) . [6]  \n(d) Comment on the coach’s assumption that the probabilities of success in each of the three [2] matches are independent.  \nTotal: 16  \n[www.CasperYC.club](www.C","cbCaijGNX5x0yfhz","https://ap.wps.com/l/cbCaijGNX5x0yfhz","pdf",79337,"English","# Question 1\n## 1(a) Distribution modelling and mean comparison\n## 1(b) Die model distribution, mean and variance\n# Question 2\n## 2(a) Find Pr(B)\n## 2(b) Find Pr(A ∪ B)\n## 2(c) Find Pr(A|B)\n# Question 3\n## 3(a) Upper quartile from quartiles\n## 3(b) Mean and variance from quartiles\n## 3(c) Comment on model suitability\n# Question 4\n## 4(a) Median and quartiles for Mathematics ages\n## 4(b) Box plot for Mathematics\n## 4(c) Box plot for English\n## 4(d) Compare ages across classes\n# Question 5\n## 5(a) Probability of exactly two wins\n## 5(b) Probability distribution of W\n## 5(c) E(W) and Var(W)\n## 5(d) Comment on independence assumption\n# Question 6\n## 6(a) Scatter diagram representation\n## 6(b) Correlation and hypothesis comment\n## 6(c) Regression equation A = p + qT\n## 6(d) Draw regression line","[{\"question\":\"What is the total time and mark allocation of the Statistics S1 - I practice paper?\",\"answer\":\"The paper allows 90 minutes and totals 75 marks across six questions.\"},{\"question\":\"What types of statistical methods are used in Question 3?\",\"answer\":\"Question 3 uses quartiles from waiting-time data to infer an appropriate normal model, then calculates mean and variance and evaluates the model’s suitability.\"},{\"question\":\"What do Question 6 (scatter and regression) analyze?\",\"answer\":\"Question 6 studies the relationship between temperature at 9 am and the percentage of students absent, using scatter diagrams, correlation, and regression to obtain an equation and draw the regression line.\"}]","Solomon Practice Paper Statistics S1 - I | PDF",1791057791,18]