// Numbas version: finer_feedback_settings
{"name": "Understanding the Mean", "extensions": [], "custom_part_types": [], "resources": [["question-resources/CarsOnNumberLine.jpg", "CarsOnNumberLine.jpg"], ["question-resources/ObjectsOnNumberLine.jpg", "ObjectsOnNumberLine.jpg"], ["question-resources/StudentOnNumberLine.jpg", "StudentOnNumberLine.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Understanding the Mean", "tags": [], "metadata": {"description": "<p>A 'concept test' (no calculations) with 4 multiple-choice parts.</p>", "licence": "Creative Commons Attribution-NonCommercial 4.0 International"}, "statement": "<p>In the following question it is possible to use calculations to find the answer but you are encouraged to use your intuition to make an 'educated guess'.</p>", "advice": "<p>To check if each of the options is a reasonable estimate for the mean, try to visualise where each would be on the numberline.&nbsp; Does it seem a sensible 'typical value' for this data?</p>\n<p>If you would like to <strong>calculate</strong> the mean to check exactly where it is, you can do this by adding together all of the values and dividing by the number of values, like this:</p>\n<p>$${\\var{Ans5}}\\div5=\\var{Ans}$$.</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"Q": {"name": "Q", "group": "Ungrouped variables", "definition": "random(1,2,3)", "description": "", "templateType": "anything", "can_override": false}, "Ans": {"name": "Ans", "group": "Ungrouped variables", "definition": "if(Q=1,\"\u00a34,200\",if(Q=2,\"402g\",\"68 seconds\"))", "description": "", "templateType": "anything", "can_override": false}, "wrong1": {"name": "wrong1", "group": "Ungrouped variables", "definition": "if(Q=1,\"\u00a37,500\",if(Q=2,\"202g\",\"24 seconds\"))", "description": "", "templateType": "anything", "can_override": false}, "wrong2": {"name": "wrong2", "group": "Ungrouped variables", "definition": "if(Q=1,\"\u00a32,500\",if(Q=2,\"602g\",\"50 seconds\"))", "description": "", "templateType": "anything", "can_override": false}, "wrong3": {"name": "wrong3", "group": "Ungrouped variables", "definition": "if(Q=1,\"\u00a325000\",if(Q=2,\"802g\",\"100 seconds\"))", "description": "", "templateType": "anything", "can_override": false}, "ans5": {"name": "ans5", "group": "Ungrouped variables", "definition": "if(Q=1,21000,if(Q=2,2010,340))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["Q", "Ans", "wrong1", "wrong2", "wrong3", "ans5"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "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><span data-jme-visible=\"Q=1\">The following table and numberline show the values of the same 5 second-hand cars.</span></p>\n<table style=\"border-style: solid; border-color: #000000; height: 56px;\" border=\"yes\">\n<tbody>\n<tr style=\"height: 28px;\">\n<td style=\"width: 39.7283px; text-align: left; height: 28px;\"><span data-jme-visible=\"Q=1\">Car 1</span></td>\n<td style=\"width: 51.3451px; height: 28px;\"><span data-jme-visible=\"Q=1\">Car 2</span></td>\n<td style=\"width: 51.3451px; height: 28px;\"><span data-jme-visible=\"Q=1\">Car 3</span></td>\n<td style=\"width: 51.3451px; height: 28px;\"><span data-jme-visible=\"Q=1\">Car 4</span></td>\n<td style=\"width: 51.3451px; height: 28px;\"><span data-jme-visible=\"Q=1\">Car 5</span></td>\n</tr>\n<tr style=\"height: 28px;\">\n<td style=\"width: 39.7283px; height: 28px;\"><span data-jme-visible=\"Q=1\">&pound;900</span></td>\n<td style=\"width: 51.3451px; height: 28px;\"><span data-jme-visible=\"Q=1\">&pound;2,920</span></td>\n<td style=\"width: 51.3451px; height: 28px;\"><span data-jme-visible=\"Q=1\">&pound;3,600</span></td>\n<td style=\"width: 51.3451px; height: 28px;\"><span data-jme-visible=\"Q=1\">&pound;5,080</span></td>\n<td style=\"width: 51.3451px; height: 28px;\"><span data-jme-visible=\"Q=1\">&pound;8,500</span></td>\n</tr>\n</tbody>\n</table>\n<p><span data-jme-visible=\"Q=1\"><img src=\"resources/question-resources/CarsOnNumberLine.jpg\"/></span></p>\n<p><span data-jme-visible=\"Q=1\">Which of the following is the mean car price?</span></p>\n<p><span data-jme-visible=\"Q=2\">The following table and numberline show the weights of 5 hosehold objects.</span></p>\n<table style=\"border-style: solid; border-color: #000000;\" border=\"yes\">\n<tbody>\n<tr>\n<td style=\"width: 54.2935px; text-align: left;\"><span data-jme-visible=\"Q=2\">Banana</span></td>\n<td style=\"width: 127.133px;\"><span data-jme-visible=\"Q=2\">Book (paperback)</span></td>\n<td style=\"width: 37.1739px;\"><span data-jme-visible=\"Q=2\">Mug</span></td>\n<td style=\"width: 118.94px;\"><span data-jme-visible=\"Q=2\">Book (hardback)</span></td>\n<td style=\"width: 41.6712px;\"><span data-jme-visible=\"Q=2\">Pillow</span></td>\n</tr>\n<tr>\n<td style=\"width: 54.2935px;\"><span data-jme-visible=\"Q=2\">110g</span></td>\n<td style=\"width: 127.133px;\"><span data-jme-visible=\"Q=2\">217g</span></td>\n<td style=\"width: 37.1739px;\"><span data-jme-visible=\"Q=2\">302g</span></td>\n<td style=\"width: 118.94px;\"><span data-jme-visible=\"Q=2\">398g</span></td>\n<td style=\"width: 41.6712px;\"><span data-jme-visible=\"Q=2\">883g</span></td>\n</tr>\n</tbody>\n</table>\n<p><span data-jme-visible=\"Q=2\"><img src=\"resources/question-resources/ObjectsOnNumberLine.jpg\"/></span></p>\n<p><span data-jme-visible=\"Q=2\">Which of the following is the mean weight?</span></p>\n<p><span data-jme-visible=\"Q=3\">The following table and numberline show the time in seconds for each of 5 students to answer a question about the mean.</span></p>\n<table style=\"height: 36px; width: 450px; border-style: solid; border-color: #000000;\" border=\"yes\">\n<tbody>\n<tr style=\"height: 18px;\">\n<td style=\"height: 18px; width: 73.9402px; text-align: left;\"><span data-jme-visible=\"Q=3\">Student 1</span></td>\n<td style=\"height: 18px; width: 73.9402px;\"><span data-jme-visible=\"Q=3\">Student 2</span></td>\n<td style=\"height: 18px; width: 73.9402px;\"><span data-jme-visible=\"Q=3\">Student 3</span></td>\n<td style=\"height: 18px; width: 73.9402px;\"><span data-jme-visible=\"Q=3\">Student 4</span></td>\n<td style=\"height: 18px; width: 74.0217px;\"><span data-jme-visible=\"Q=3\">Student 5</span></td>\n</tr>\n<tr style=\"height: 18px;\">\n<td style=\"height: 18px; width: 73.9402px;\"><span data-jme-visible=\"Q=3\">24</span></td>\n<td style=\"height: 18px; width: 73.9402px;\"><span data-jme-visible=\"Q=3\">67</span></td>\n<td style=\"height: 18px; width: 73.9402px;\"><span data-jme-visible=\"Q=3\">75</span></td>\n<td style=\"height: 18px; width: 73.9402px;\"><span data-jme-visible=\"Q=3\">81</span></td>\n<td style=\"height: 18px; width: 74.0217px;\"><span data-jme-visible=\"Q=3\">93</span></td>\n</tr>\n</tbody>\n</table>\n<p><span data-jme-visible=\"Q=3\"><img src=\"resources/question-resources/StudentOnNumberLine.jpg\"/></span></p>\n<p><span data-jme-visible=\"Q=3\">Which of the following is the mean time taken?</span></p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showBlankOption": true, "showCellAnswerState": true, "choices": ["$\\var{Ans}$", "$\\var{wrong1}$", "$\\var{wrong2}$", "$\\var{wrong3}$"], "matrix": ["1", 0, 0, 0], "distractors": ["", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Will Roberts", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/32402/"}], "resources": ["question-resources/CarsOnNumberLine.jpg", "question-resources/ObjectsOnNumberLine.jpg", "question-resources/StudentOnNumberLine.jpg"]}]}], "contributors": [{"name": "Will Roberts", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/32402/"}]}