// Numbas version: finer_feedback_settings
{"name": "SD07 Interpreting Line Graphs", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "SD07 Interpreting Line Graphs", "tags": [], "metadata": {"description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Francesca recorded the number of customers in a supermarket every two hours.</p>\n<p>She began at 9 am and finished at 7 pm.</p>\n<p>The line graph below shows her results.</p>\n<p>{geogebra_applet{\"https://www.geogebra.org/classic/s4w7nmga\",[y1:y1,y3:y3,y4:y4,y6:y6]}}</p>", "advice": "<p><strong>a)</strong> You want to find the point on the graph with the greatest frequency. You can see that this is at 1pm when there were $\\var{y3}$ cars in the car park.</p>\n<p><strong>b)</strong> We find 11am on the $x$-axis and look vertically upwards until we find the point. From here we go horiztonally across to the $y$-axis to read the frequency. We can see that at 11am there were $\\var{y2}$ cars in the car park.</p>\n<p><strong>c)</strong> We want to find $\\var{number}$ on the $y$-axis and then look horiztonally across until we find the point. From here we move down to the $x$-axis to see at which time there were $\\var{number}$ cars in the car park. We can see this occured at $\\var{answerc}\\var{time}$.</p>\n<p><strong>d)</strong> We must find 6pm on the $x$-axis. This isn't marked on like the other times but we know it sits half way between 5pm and 7pm. From here we look vertically upwards until we meet the red line on our graph. Notice we don't have a point for this time, hence why this is an estimate. From here we move hortizontally across to the $y$-axis to find the frequency. At 6pm we estimate that there were $\\var{y56}$ cars in the car park.</p>\n<p><strong>e)</strong> We must find the frequency of cars at 1pm and at 3pm using the same steps as in part&nbsp;<strong>b</strong>. At 3pm there were $\\var{y4}$ cars in the car park and we subtract this from $\\var{y3}$ which is the number of cars in the car park at 1pm. Hence, $\\var{y3}-\\var{y4}=\\var{y3-y4}$.</p>\n<form autocomplete=\"off\">\n<div class=\"adviceContainer\" data-bind=\"visible: hasAdvice() &amp;&amp; adviceDisplayed()\" localise-data-jme-context-description=\"question.advice\">\n<p><a href=\"https://www.sheffield.ac.uk/mash/stats-resources/first-steps#data-display\" target=\"_blank\" rel=\"noopener\">Use this link to find some resources which will help you revise this topic.</a></p>\n</div>\n</form>", "rulesets": {}, "extensions": ["geogebra"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true, "j": false}, "constants": [], "variables": {"y6": {"name": "y6", "group": "Ungrouped variables", "definition": "random(10 .. 40#10)", "description": "<p>Number of customers in supermarket at 7pm.</p>", "templateType": "randrange", "can_override": false}, "y5": {"name": "y5", "group": "Ungrouped variables", "definition": "y6+20", "description": "<p>Number of customers in supermarket at 5pm.</p>", "templateType": "anything", "can_override": false}, "y3": {"name": "y3", "group": "Ungrouped variables", "definition": "random(82 .. 100#1)", "description": "<p>Number of customers in supermarket at 1pm.</p>", "templateType": "randrange", "can_override": false}, "y4": {"name": "y4", "group": "Ungrouped variables", "definition": "random(50 .. 75#1)", "description": "<p>Number of customers in supermarket at 3pm.</p>", "templateType": "randrange", "can_override": false}, "y2": {"name": "y2", "group": "Ungrouped variables", "definition": "y1+10", "description": "<p>Number of customers in supermarket at 11am.</p>", "templateType": "anything", "can_override": false}, "y1": {"name": "y1", "group": "Ungrouped variables", "definition": "random(10 .. 20#5)", "description": "<p>Number of customers in supermarket at 9am</p>", "templateType": "randrange", "can_override": false}, "y56": {"name": "y56", "group": "Ungrouped variables", "definition": "(y5+y6)/2", "description": "<p>Number of customers in supermarket at 6pm.</p>", "templateType": "anything", "can_override": false}, "number": {"name": "number", "group": "Ungrouped variables", "definition": "random(y1,y3,y4,y5,y6)", "description": "<p>Randomly select which number of customers user needs to identify associated time for.</p>", "templateType": "anything", "can_override": false}, "answerc": {"name": "answerc", "group": "Ungrouped variables", "definition": "if(number=y1,9,if(number=y3,1,if(number=y4,3,if(number=y5,5,if(number=y6,7,0)))))", "description": "<p>Associated time to randomly selected frequency variable (number)</p>", "templateType": "anything", "can_override": false}, "time": {"name": "time", "group": "Ungrouped variables", "definition": "if(answerc=9, 'am', if(answerc=11,'am',if(answerc=1,'pm',if(answerc=3,'pm',if(answerc=5,'pm',if(answerc=7,'pm',0))))))", "description": "<p>For printing am or pm depending on time selelected - to appear in advice only&nbsp;</p>", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["y6", "y5", "y3", "y4", "y2", "y1", "y56", "number", "answerc", "time"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": true, "customName": "a)", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>When were the most customers in the supermarker?</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["9 am", "11 am", "1 pm", "3 pm", "5 pm", "7 pm"], "matrix": [0, 0, "1", 0, 0, 0], "distractors": ["", "", "", "", "", ""]}, {"type": "numberentry", "useCustomName": true, "customName": "b)", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>How many customers were in the supermarket at 11 am?</p>", "minValue": "y2", "maxValue": "y2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "c)", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>At what time were there {number} customers in the supermarket?</p>\n<p><em>If your answer was 12pm you would just write 12 in the box.</em></p>", "minValue": "answerc", "maxValue": "answerc", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "d)", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Estimate the number of customers in the supermarket at 6pm.</p>", "minValue": "y56", "maxValue": "y56", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": true, "customName": "e)", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>How many less customers were there in the supermarket at 3pm than 1pm?</p>", "minValue": "y3-y4", "maxValue": "y3-y4", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "displayAnswer": "", "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Mash Sheffield", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4679/"}, {"name": "Megan Oliver", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/23526/"}], "resources": []}]}], "contributors": [{"name": "Mash Sheffield", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4679/"}, {"name": "Megan Oliver", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/23526/"}]}