// Numbas version: exam_results_page_options
{"name": "ZD1 - Statystyka opisowa", "metadata": {"description": "", "licence": "None specified"}, "duration": 0, "percentPass": "50", "showQuestionGroupNames": false, "shuffleQuestionGroups": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": [""], "variable_overrides": [[]], "questions": [{"name": "Obliczanie miar po\u0142o\u017cenia, zmienno\u015bci, asymetrii i koncentracji w szeregu rozdzielczym", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "contributors": [{"name": "Aleksandra Romanowska", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/11231/"}, {"name": "Anna Gobis", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/23601/"}], "tags": [], "metadata": {"description": "<p>Student ma za zadanie obliczy\u0107 miary statystyki opisowej dla danych w postaci szergu rozdzielczego.</p>", "licence": null}, "statement": "<p>Wysoko\u015b\u0107 wydatk&oacute;w na pieczywo w z\u0142, poniesionych w marcu 2021 r. przez n losowo wybranych gospodarstw domowych z Gda\u0144ska kszta\u0142towa\u0142a si\u0119 nast\u0119puj\u0105co:</p>\n<table border=\"1\">\n<tbody>\n<tr>\n<td>Wysoko\u015b\u0107 wydatk&oacute;w [z\u0142]</td>\n<td style=\"text-align: center;\">30-40</td>\n<td style=\"text-align: center;\">40-50</td>\n<td style=\"text-align: center;\">50-60</td>\n<td style=\"text-align: center;\">60-70</td>\n<td style=\"text-align: center;\">70-80</td>\n<td style=\"text-align: center;\">80-90</td>\n<td style=\"text-align: center;\">90-100</td>\n</tr>\n<tr>\n<td>Liczba gospodarstw</td>\n<td style=\"text-align: center;\">{n1}</td>\n<td style=\"text-align: center;\">{n2}</td>\n<td style=\"text-align: center;\">{n3}</td>\n<td style=\"text-align: center;\">{n4}</td>\n<td style=\"text-align: center;\">{n5}</td>\n<td style=\"text-align: center;\">{n6}</td>\n<td style=\"text-align: center;\">{n7}</td>\n</tr>\n</tbody>\n</table>", "advice": "", "rulesets": {}, "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"n": {"name": "n", "group": "Ungrouped variables", "definition": "sum([n1,n2,n3,n4,n5,n6,n7])", "description": "", "templateType": "anything", "can_override": false}, "n1": {"name": "n1", "group": "Ungrouped variables", "definition": "random(1..15)", "description": "", "templateType": "anything", "can_override": false}, "n2": {"name": "n2", "group": "Ungrouped variables", "definition": "random(15..30)", "description": "", "templateType": "anything", "can_override": false}, "n3": {"name": "n3", "group": "Ungrouped variables", "definition": "random(30..45)", "description": "", "templateType": "anything", "can_override": false}, "n4": {"name": "n4", "group": "Ungrouped variables", "definition": "random(45..70)", "description": "", "templateType": "anything", "can_override": false}, "n5": {"name": "n5", "group": "Ungrouped variables", "definition": "random(30..45)", "description": "", "templateType": "anything", "can_override": false}, "n6": {"name": "n6", "group": "Ungrouped variables", "definition": "random(15..30)", "description": "", "templateType": "anything", "can_override": false}, "n7": {"name": "n7", "group": "Ungrouped variables", "definition": "random(1..15)", "description": "", "templateType": "anything", "can_override": false}, "x_av": {"name": "x_av", "group": "Ungrouped variables", "definition": "precround((n1*35+n2*45+n3*55+n4*65+n5*75+n6*85+n7*95)/n,2)", "description": "", "templateType": "anything", "can_override": false}, "n1_skum": {"name": "n1_skum", "group": "Ungrouped variables", "definition": "n1", "description": "", "templateType": "anything", "can_override": false}, "n2_skum": {"name": "n2_skum", "group": "Ungrouped variables", "definition": "n1+n2", "description": "", "templateType": "anything", "can_override": false}, "n3_skum": {"name": "n3_skum", "group": "Ungrouped variables", "definition": "n1+n2+n3", "description": "", "templateType": "anything", "can_override": false}, "n4_skum": {"name": "n4_skum", "group": "Ungrouped variables", "definition": "n1+n2+n3+n4", "description": "", "templateType": "anything", "can_override": false}, "n5_skum": {"name": "n5_skum", "group": "Ungrouped variables", "definition": "n1+n2+n3+n4+n5", "description": "", "templateType": "anything", "can_override": false}, "n6_skum": {"name": "n6_skum", "group": "Ungrouped variables", "definition": "n1+n2+n3+n4+n5+n6", "description": "", "templateType": "anything", "can_override": false}, "n7_skum": {"name": "n7_skum", "group": "Ungrouped variables", "definition": "n1+n2+n3+n4+n5+n6+n7", "description": "", "templateType": "anything", "can_override": false}, "sd1": {"name": "sd1", "group": "Ungrouped variables", "definition": "precround(((35-x_av)^2 n1),2)", "description": "", "templateType": "anything", "can_override": false}, "sd2": {"name": "sd2", "group": "Ungrouped variables", "definition": "precround(((45-x_av)^2 n2),2)", "description": "", "templateType": "anything", "can_override": false}, "sd3": {"name": "sd3", "group": "Ungrouped variables", "definition": "precround(((55-x_av)^2 n3),2)", "description": "", "templateType": "anything", "can_override": false}, "sd4": {"name": "sd4", "group": "Ungrouped variables", "definition": "precround(((65-x_av)^2 n4),2)", "description": "", "templateType": "anything", "can_override": false}, "sd5": {"name": "sd5", "group": "Ungrouped variables", "definition": "precround(((75-x_av)^2 n5),2)", "description": "", "templateType": "anything", "can_override": false}, "sd6": {"name": "sd6", "group": "Ungrouped variables", "definition": "precround(((85-x_av)^2 n6),2)", "description": "", "templateType": "anything", "can_override": false}, "sd7": {"name": "sd7", "group": "Ungrouped variables", "definition": "precround(((95-x_av)^2 n7),2)", "description": "", "templateType": "anything", "can_override": false}, "k1": {"name": "k1", "group": "Ungrouped variables", "definition": "precround(((35-x_av)^4 n1),2)", "description": "", "templateType": "anything", "can_override": false}, "k2": {"name": "k2", "group": "Ungrouped variables", "definition": "precround(((45-x_av)^4 n2),2)", "description": "", "templateType": "anything", "can_override": false}, "k3": {"name": "k3", "group": "Ungrouped variables", "definition": "precround(((55-x_av)^4 n3),2)", "description": "", "templateType": "anything", "can_override": false}, "k4": {"name": "k4", "group": "Ungrouped variables", "definition": "precround(((65-x_av)^4 n4),2)", "description": "", "templateType": "anything", "can_override": false}, "k5": {"name": "k5", "group": "Ungrouped variables", "definition": "precround(((75-x_av)^4 n5),2)", "description": "", "templateType": "anything", "can_override": false}, "k6": {"name": "k6", "group": "Ungrouped variables", "definition": "precround(((85-x_av)^4 n6),2)", "description": "", "templateType": "anything", "can_override": false}, "k7": {"name": "k7", "group": "Ungrouped variables", "definition": "precround(((95-x_av)^4 n7),2)", "description": "", "templateType": "anything", "can_override": false}, "k_sum": {"name": "k_sum", "group": "Ungrouped variables", "definition": "precround(sum([k1,k2,k3,k4,k5,k6,k7]),2)", "description": "", "templateType": "anything", "can_override": false}, "sd_sum": {"name": "sd_sum", "group": "Ungrouped variables", "definition": "sum([sd1,sd2,sd3,sd4,sd5,sd6,sd7])", "description": "", "templateType": "anything", "can_override": false}, "variance": {"name": "variance", "group": "Ungrouped variables", "definition": "precround(sd_sum/n,2)", "description": "", "templateType": "anything", "can_override": false}, "sd": {"name": "sd", "group": "Ungrouped variables", "definition": "precround(sqrt(variance),2)", "description": "", "templateType": "anything", "can_override": false}, "modalna": {"name": "modalna", "group": "Ungrouped variables", "definition": "precround(60.0+(10.0*((n4-n3)/((2*n4)-n3-n5))),2)", "description": "", "templateType": "anything", "can_override": true}, "kurtoza": {"name": "kurtoza", "group": "Ungrouped variables", "definition": "precround(((k_sum/n)/(sd^4)),2)-3", "description": "", "templateType": "anything", "can_override": false}, "asymetria": {"name": "asymetria", "group": "Ungrouped variables", "definition": "precround((x_av-modalna)/sd,2)", "description": "", "templateType": "anything", "can_override": false}, "mediana": {"name": "mediana", "group": "Ungrouped variables", "definition": "precround(60.0+((10.0/n4)*((n/2)-n3_skum)),2)", "description": "", "templateType": "anything", "can_override": false}, "Q1": {"name": "Q1", "group": "Ungrouped variables", "definition": "precround(50.0+((10.0/n3)*((n/4)-n2_skum)),2)", "description": "", "templateType": "anything", "can_override": false}, "Q3": {"name": "Q3", "group": "Ungrouped variables", "definition": "precround(70.0+((10.0/n5)*(((3 n)/4)-n4_skum)),2)", "description": "", "templateType": "anything", "can_override": false}, "RQ": {"name": "RQ", "group": "Ungrouped variables", "definition": "Q3-Q1", "description": "", "templateType": "anything", "can_override": false}, "Q": {"name": "Q", "group": "Ungrouped variables", "definition": "RQ/2", "description": "", "templateType": "anything", "can_override": false}, "asymetria_ocena": {"name": "asymetria_ocena", "group": "Ungrouped variables", "definition": "if(asymetria<0,-1,if(asymetria>0,1,0))", "description": "", "templateType": "anything", "can_override": false}, "kurtoza_ocena": {"name": "kurtoza_ocena", "group": "Ungrouped variables", "definition": "if(kurtoza<0,-1,if(kurtoza>0,1,0))", "description": "", "templateType": "anything", "can_override": false}, "mediana_alt": {"name": "mediana_alt", "group": "Ungrouped variables", "definition": "precround(60.0+((10.0/n4)*(((n+1)/2)-n3_skum)),2)", "description": "", "templateType": "anything", "can_override": false}, "Q1_alt": {"name": "Q1_alt", "group": "Ungrouped variables", "definition": "precround(50.0+((10.0/n3)*(((n+1)/4)-n2_skum)),2)", "description": "", "templateType": "anything", "can_override": false}, "Q3_alt": {"name": "Q3_alt", "group": "Ungrouped variables", "definition": "precround(70.0+((10.0/n5)*(((3 (n+1))/4)-n4_skum)),2)", "description": "", "templateType": "anything", "can_override": false}, "RQ_alt": {"name": "RQ_alt", "group": "Ungrouped variables", "definition": "Q3_alt-Q1_alt", "description": "", "templateType": "anything", "can_override": false}, "Q_alt": {"name": "Q_alt", "group": "Ungrouped variables", "definition": "RQ_alt/2", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["n", "n1", "n2", "n3", "n4", "n5", "n6", "n7", "x_av", "n1_skum", "n2_skum", "n3_skum", "n4_skum", "n5_skum", "n6_skum", "n7_skum", "sd1", "sd2", "sd3", "sd4", "sd5", "sd6", "sd7", "k1", "k2", "k3", "k4", "k5", "k6", "k7", "k_sum", "sd_sum", "variance", "sd", "modalna", "kurtoza", "asymetria", "mediana", "Q1", "Q3", "RQ", "Q", "asymetria_ocena", "kurtoza_ocena", "mediana_alt", "Q1_alt", "Q3_alt", "RQ_alt", "Q_alt"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Poni\u017csza tabelka pomo\u017ce Ci w obliczeniach. Wype\u0142nij kom&oacute;rki buduj\u0105c szereg rozdzielczy. Liczby w tabeli zaokr\u0105glaj do dw&oacute;ch miejsc po przecinku.</p>\n<table style=\"height: 195px; width: 100%;\" border=\"1\">\n<tbody>\n<tr style=\"height: 54px;\">\n<td style=\"width: 7.55694%; height: 54px; text-align: center;\">$x_i$</td>\n<td style=\"width: 6.21118%; height: 54px; text-align: center;\">$n_i$</td>\n<td style=\"width: 11.4907%; height: 54px; text-align: center;\">$\\dot{x_i}$</td>\n<td style=\"width: 12.0083%; height: 54px; text-align: center;\">$n_i(skum)$</td>\n<td style=\"width: 6.10766%; height: 54px; text-align: center;\">$x_i n_i$</td>\n<td style=\"width: 16.2526%; height: 54px; text-align: center;\">$(\\dot{x_i}-\\overline{x_i})^2 n_i$</td>\n<td style=\"width: 16.2526%; height: 54px; text-align: center;\">$(\\dot{x_i}-\\overline{x_i})^4 n_i$</td>\n</tr>\n<tr style=\"height: 18px;\">\n<td style=\"width: 7.55694%; height: 18px;\">30-40</td>\n<td style=\"width: 6.21118%; height: 18px;\">{n1}</td>\n<td style=\"width: 11.4907%; height: 18px;\">[[7]]</td>\n<td style=\"width: 12.0083%; height: 18px;\">[[0]]</td>\n<td style=\"width: 6.10766%; height: 18px;\">[[14]]</td>\n<td style=\"width: 16.2526%; height: 18px;\">[[22]]</td>\n<td style=\"width: 16.2526%; height: 18px;\">[[30]]</td>\n</tr>\n<tr style=\"height: 17px;\">\n<td style=\"width: 7.55694%; height: 17px;\">40-50</td>\n<td style=\"width: 6.21118%; height: 17px;\">{n2}</td>\n<td style=\"width: 11.4907%; height: 17px;\">[[8]]</td>\n<td style=\"width: 12.0083%; height: 17px;\">[[1]]</td>\n<td style=\"width: 6.10766%; height: 17px;\">[[15]]</td>\n<td style=\"width: 16.2526%; height: 17px;\">[[23]]</td>\n<td style=\"width: 16.2526%; height: 17px;\">[[31]]</td>\n</tr>\n<tr style=\"height: 18px;\">\n<td style=\"width: 7.55694%; height: 18px;\">50-60</td>\n<td style=\"width: 6.21118%; height: 18px;\">{n3}</td>\n<td style=\"width: 11.4907%; height: 18px;\">[[9]]</td>\n<td style=\"width: 12.0083%; height: 18px;\">[[2]]</td>\n<td style=\"width: 6.10766%; height: 18px;\">[[16]]</td>\n<td style=\"width: 16.2526%; height: 18px;\">[[24]]</td>\n<td style=\"width: 16.2526%; height: 18px;\">[[32]]</td>\n</tr>\n<tr style=\"height: 18px;\">\n<td style=\"width: 7.55694%; height: 18px;\">60-70</td>\n<td style=\"width: 6.21118%; height: 18px;\">{n4}</td>\n<td style=\"width: 11.4907%; height: 18px;\">[[10]]</td>\n<td style=\"width: 12.0083%; height: 18px;\">[[3]]</td>\n<td style=\"width: 6.10766%; height: 18px;\">[[17]]</td>\n<td style=\"width: 16.2526%; height: 18px;\">[[25]]</td>\n<td style=\"width: 16.2526%; height: 18px;\">[[33]]</td>\n</tr>\n<tr style=\"height: 18px;\">\n<td style=\"width: 7.55694%; height: 17px;\">70-80</td>\n<td style=\"width: 6.21118%; height: 17px;\">{n5}</td>\n<td style=\"width: 11.4907%; height: 17px;\">[[11]]</td>\n<td style=\"width: 12.0083%; height: 17px;\">[[4]]</td>\n<td style=\"width: 6.10766%; height: 17px;\">[[18]]</td>\n<td style=\"width: 16.2526%; height: 17px;\">[[26]]</td>\n<td style=\"width: 16.2526%; height: 17px;\">[[34]]</td>\n</tr>\n<tr style=\"height: 18px;\">\n<td style=\"width: 7.55694%; height: 18px;\">80-90</td>\n<td style=\"width: 6.21118%; height: 18px;\">{n6}</td>\n<td style=\"width: 11.4907%; height: 18px;\">[[12]]</td>\n<td style=\"width: 12.0083%; height: 18px;\">[[5]]</td>\n<td style=\"width: 6.10766%; height: 18px;\">[[19]]</td>\n<td style=\"width: 16.2526%; height: 18px;\">[[27]]</td>\n<td style=\"width: 16.2526%; height: 18px;\">[[35]]</td>\n</tr>\n<tr style=\"height: 18px;\">\n<td style=\"width: 7.55694%; height: 17px;\">90-100</td>\n<td style=\"width: 6.21118%; height: 17px;\">{n7}</td>\n<td style=\"width: 11.4907%; height: 17px;\">[[13]]</td>\n<td style=\"width: 12.0083%; height: 17px;\">[[6]]</td>\n<td style=\"width: 6.10766%; height: 17px;\">[[20]]</td>\n<td style=\"width: 16.2526%; height: 17px;\">[[28]]</td>\n<td style=\"width: 16.2526%; height: 17px;\">[[36]]</td>\n</tr>\n<tr style=\"height: 18px;\">\n<td style=\"width: 7.55694%; height: 18px;\"><strong>Suma</strong></td>\n<td style=\"width: 6.21118%; height: 18px;\">{n}</td>\n<td style=\"width: 11.4907%; height: 18px;\">-</td>\n<td style=\"width: 12.0083%; height: 18px;\">-</td>\n<td style=\"width: 6.10766%; height: 18px;\">[[21]]</td>\n<td style=\"width: 16.2526%; height: 18px;\">[[29]]</td>\n<td style=\"width: 16.2526%; height: 18px;\">[[37]]</td>\n</tr>\n</tbody>\n</table>\n<p></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "0.1", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "n1_skum", "maxValue": "n1_skum", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", 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