// Numbas version: exam_results_page_options
{"percentPass": 0, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Fixed base. Chain base. Laspeyres Price and Quantity. Paache Price and Quantity. Interpretation.&nbsp;</p>\n<p>rebelmaths</p>"}, "feedback": {"showactualmark": true, "showtotalmark": true, "feedbackmessages": [], "intro": "", "allowrevealanswer": true, "advicethreshold": 0, "showanswerstate": true}, "timing": {"timeout": {"message": "", "action": "none"}, "timedwarning": {"message": "", "action": "none"}, "allowPause": true}, "name": "index", "showQuestionGroupNames": false, "question_groups": [{"name": "Group", "pickQuestions": 1, "pickingStrategy": "all-ordered", "questions": [{"name": "Jorj's copy of Fixed Base Index", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jorj Kowszun", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/284/"}], "statement": "<p>The table below shows the&nbsp;average weekly rent for residents of a town.</p>\n<table height=\"91\" border=\"1\" width=\"573\">\n<tbody>\n<tr>\n<th align=\"left\">Year</th>\n<th style=\"text-align: center;\">2011</th>\n<th style=\"text-align: center;\">2012</th>\n<th style=\"text-align: center;\">2013</th>\n<th style=\"text-align: center;\">2014</th>\n<th style=\"text-align: center;\">2015</th>\n<th style=\"text-align: center;\">2016</th>\n</tr>\n<tr>\n<th align=\"left\">Rent &euro;</th>\n<td style=\"text-align: center;\">{a}</td>\n<td style=\"text-align: center;\">{b}</td>\n<td style=\"text-align: center;\">{c}</td>\n<td style=\"text-align: center;\">&nbsp;{d}</td>\n<td style=\"text-align: center;\">{f}</td>\n<td style=\"text-align: center;\">{g}</td>\n</tr>\n</tbody>\n</table>\n<p>&nbsp;</p>", "variables": {"d": {"description": "", "templateType": "anything", "name": "d", "definition": "Random(550..600)", "group": "Ungrouped variables"}, "g": {"description": "", "templateType": "anything", "name": "g", "definition": "Random(600..650)", "group": "Ungrouped variables"}, "f": {"description": "", "templateType": "anything", "name": "f", "definition": "Random(600..650)", "group": "Ungrouped variables"}, "b": {"description": "", "templateType": "anything", "name": "b", "definition": "Random(500..600)", "group": "Ungrouped variables"}, "a": {"description": "", "templateType": "anything", "name": "a", "definition": "Random(485..550)", "group": "Ungrouped variables"}, "c": {"description": "", "templateType": "anything", "name": "c", "definition": "Random(500..600)", "group": "Ungrouped variables"}}, "ungrouped_variables": ["a", "c", "b", "d", "g", "f"], "preamble": {"js": "", "css": ""}, "rulesets": {}, "variable_groups": [], "advice": "", "tags": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Fixed Base Index Numbers</p>\n<p>rebelmaths</p>"}, "parts": [{"type": "gapfill", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "gaps": [{"showFeedbackIcon": true, "maxValue": "{a}/{a}*100", "allowFractions": false, "variableReplacementStrategy": "originalfirst", "variableReplacements": [], "correctAnswerStyle": "plain", "type": "numberentry", "scripts": {}, "marks": "1", "correctAnswerFraction": false, "minValue": "{a}/{a}*100", "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": true}, {"showFeedbackIcon": true, "showPrecisionHint": false, "maxValue": "{b}/{a}*100", "allowFractions": false, "variableReplacementStrategy": "originalfirst", "precisionType": "dp", "strictPrecision": true, "precisionMessage": "You have not given your answer to the correct precision.", "variableReplacements": [], "precisionPartialCredit": 0, "correctAnswerStyle": "plain", "type": "numberentry", "scripts": {}, "marks": "1", "correctAnswerFraction": false, "minValue": "{b}/{a}*100", "precision": 0, "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": true}, {"showFeedbackIcon": true, "showPrecisionHint": false, "maxValue": "{c}/{a}*100", "allowFractions": false, "variableReplacementStrategy": "originalfirst", "precisionType": "dp", "strictPrecision": true, "precisionMessage": "You have not given your answer to the correct precision.", "variableReplacements": [], "precisionPartialCredit": 0, "correctAnswerStyle": "plain", "type": "numberentry", "scripts": {}, "marks": "1", "correctAnswerFraction": false, "minValue": "{c}/{a}*100", "precision": 0, "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": true}, {"showFeedbackIcon": true, "showPrecisionHint": false, "maxValue": "{d}/{a}*100", "allowFractions": false, "variableReplacementStrategy": "originalfirst", "precisionType": "dp", "strictPrecision": true, "precisionMessage": "You have not given your answer to the correct precision.", "variableReplacements": [], "precisionPartialCredit": 0, "correctAnswerStyle": "plain", "type": "numberentry", "scripts": {}, "marks": "1", "correctAnswerFraction": false, "minValue": "{d}/{a}*100", "precision": 0, "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": true}, {"showFeedbackIcon": true, "showPrecisionHint": false, "maxValue": "{f}/{a}*100", "allowFractions": false, "variableReplacementStrategy": "originalfirst", "precisionType": "dp", "strictPrecision": true, "precisionMessage": "You have not given your answer to the correct precision.", "variableReplacements": [], "precisionPartialCredit": 0, "correctAnswerStyle": "plain", "type": "numberentry", "scripts": {}, "marks": "1", "correctAnswerFraction": false, "minValue": "{f}/{a}*100", "precision": 0, "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": true}, {"showFeedbackIcon": true, "showPrecisionHint": false, "maxValue": "{g}/{a}*100", "allowFractions": false, "variableReplacementStrategy": "originalfirst", "precisionType": "dp", "strictPrecision": true, "precisionMessage": "You have not given your answer to the correct precision.", "variableReplacements": [], "precisionPartialCredit": 0, "correctAnswerStyle": "plain", "type": "numberentry", "scripts": {}, "marks": "1", "correctAnswerFraction": false, "minValue": "{g}/{a}*100", "precision": 0, "notationStyles": ["plain", "en", "si-en"], "showCorrectAnswer": true}], "variableReplacementStrategy": "originalfirst", "steps": [{"type": "information", "showFeedbackIcon": true, "scripts": {}, "marks": 0, "variableReplacementStrategy": "originalfirst", "prompt": "<p>To calculate the index number for a particular year use the following formula</p>\n<p>$\\frac{\\text{Value for the year}}{\\text{Value for the base year}}\\times 100$</p>", "variableReplacements": [], "showCorrectAnswer": true}], "prompt": "<p>For the years 2011 to 2016 calculate a fixed base index for the rent&nbsp;using 2011 as the base year (round answers to nearest whole number).</p>\n<table width=\"573\" height=\"91\" border=\"1\">\n<tbody>\n<tr>\n<th align=\"left\">Year</th>\n<th style=\"text-align: center;\">2011</th>\n<th style=\"text-align: center;\">2012</th>\n<th style=\"text-align: center;\">2013</th>\n<th style=\"text-align: center;\">2014</th>\n<th style=\"text-align: center;\">2015</th>\n<th style=\"text-align: center;\">2016</th>\n</tr>\n<tr>\n<th align=\"left\">\n<p>Index Number</p>\n</th>\n<td style=\"text-align: center;\">[[0]]</td>\n<td style=\"text-align: center;\">[[1]]</td>\n<td style=\"text-align: center;\">[[2]]</td>\n<td style=\"text-align: center;\">&nbsp;[[3]]</td>\n<td style=\"text-align: center;\">[[4]]</td>\n<td style=\"text-align: center;\">[[5]]</td>\n</tr>\n</tbody>\n</table>\n<p>&nbsp;Click on <em>Show steps</em> if you want more information. You will not lose any marks by doing so.</p>\n<p>&nbsp;</p>", "variableReplacements": [], "showCorrectAnswer": true, "stepsPenalty": 0}], "functions": {}, "type": "question"}, {"name": "Jorj's copy of Laspeyres Price Index", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jorj Kowszun", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/284/"}], "tags": [], "variables": {"pc2": {"name": "pc2", "definition": "Random(17..20#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pb1": {"name": "pb1", "definition": "Random(11..14#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qa1": {"name": "qa1", "definition": "Random(200..400)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qb3": {"name": "qb3", "definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "type": {"name": "type", "definition": "random(['2GB ', '8GB','16GB', 'USB keys'],['small','medium', 'large', 'graffiti  t-shirts'],['bronze', 'silver','gold', 'medals'])", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qc3": {"name": "qc3", "definition": "Random(600..700)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qc1": {"name": "qc1", "definition": "Random(600..650)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pa2": {"name": "pa2", "definition": "Random(6..9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pb2": {"name": "pb2", "definition": "Random(11..14#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pa1": {"name": "pa1", "definition": "Random(6..9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qa3": {"name": "qa3", "definition": "Random(200..400)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pb3": {"name": "pb3", "definition": "Random(11..14#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qb2": {"name": "qb2", "definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pa3": {"name": "pa3", "definition": "Random(6..9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qa2": {"name": "qa2", "definition": "Random(200..400)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qc2": {"name": "qc2", "definition": "Random(600..650)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qb1": {"name": "qb1", "definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pc1": {"name": "pc1", "definition": "Random(17..20#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pc3": {"name": "pc3", "definition": "Random(17..20#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}}, "statement": "<p>A company manufactures three types of {type[3]}. The table below shows the prices and quantities sold of the three types of {type[3]} over the three year period 2010-2012. &nbsp;</p>\n<table width=\"567\" height=\"139\" border=\"1\">\n<tbody>\n<tr>\n<th align=\"left\"></th>\n<th style=\"text-align: center;\">Price</th>\n<th style=\"text-align: center;\">Price</th>\n<th style=\"text-align: center;\">Price</th>\n<th style=\"text-align: center;\">Quantity</th>\n<th style=\"text-align: center;\">Quantity</th>\n<th style=\"text-align: center;\">Quantity</th>\n</tr>\n<tr>\n<th align=\"left\"></th>\n<td style=\"text-align: center;\">2010</td>\n<td style=\"text-align: center;\">2011</td>\n<td style=\"text-align: center;\">2012</td>\n<td style=\"text-align: center;\">2010</td>\n<td style=\"text-align: center;\">2011</td>\n<td style=\"text-align: center;\">2012</td>\n</tr>\n<tr>\n<th align=\"left\">{type[0]}</th>\n<td style=\"text-align: center;\">{pa1}</td>\n<td style=\"text-align: center;\">{pa2}</td>\n<td style=\"text-align: center;\">{pa3}</td>\n<td style=\"text-align: center;\">{qa1}</td>\n<td style=\"text-align: center;\">{qa2}</td>\n<td style=\"text-align: center;\">{qa3}</td>\n</tr>\n<tr>\n<th align=\"left\">{type[1]}</th>\n<td style=\"text-align: center;\">{pb1}</td>\n<td style=\"text-align: center;\">{pb2}</td>\n<td style=\"text-align: center;\">{pb3}</td>\n<td style=\"text-align: center;\">{qb1}</td>\n<td style=\"text-align: center;\">{qb2}</td>\n<td style=\"text-align: center;\">{qb3}</td>\n</tr>\n<tr>\n<th align=\"left\">{type[2]}</th>\n<td style=\"text-align: center;\">{pc1}</td>\n<td style=\"text-align: center;\">{pc2}</td>\n<td style=\"text-align: center;\">{pc3}</td>\n<td style=\"text-align: center;\">{qc1}</td>\n<td style=\"text-align: center;\">{qc2}</td>\n<td style=\"text-align: center;\">{qc3}</td>\n</tr>\n</tbody>\n</table>\n<p>&nbsp;</p>", "variable_groups": [], "parts": [{"correctAnswerFraction": false, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "allowFractions": false, "maxValue": "{({{pa2}*{qa1}}+{{pb2}*{qb1}}+{{pc2}*{qc1}})/({{pa1}*{qa1}}+{{pb1}*{qb1}}+{{pc1}*{qc1}})*100}+0.5", "type": "numberentry", "prompt": "<p></p>\n<p>&nbsp;Calculate a Laspeyres (base-weighted) Price index for 2011, with 2010 as the base year.</p>", "variableReplacements": [], "minValue": "{({{pa2}*{qa1}}+{{pb2}*{qb1}}+{{pc2}*{qc1}})/({{pa1}*{qa1}}+{{pb1}*{qb1}}+{{pc1}*{qc1}})*100}-0.5", "steps": [{"showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "type": "information", "prompt": "<p>Laspeyres Price Index $I=\\dfrac{\\sum p_n q_0}{\\sum p_0 q_0}$.</p>\n<p>Note</p>\n<p>- $p$ stands for price and $q$ stands for quantity</p>\n<p>- the subscipt $0$ refers to the base year and the subscript $n$ refers to the year for which the index number is being calculated.</p>\n<p>- $\\sum$ stands for \"sum of\" </p>\n<p>It may be helpful to make out columns</p>\n<table width=\"567\" height=\"139\" border=\"1\">\n<tbody>\n<tr>\n<th style=\"text-align: center;\" align=\"left\">Type</th>\n<th style=\"text-align: center;\">$p_n$</th>\n<th style=\"text-align: center;\">$q_0$</th>\n<th style=\"text-align: center;\">$p_0$</th>\n<th style=\"text-align: center;\">$p_n \\times q_0$</th>\n<th style=\"text-align: center;\">$p_0 &nbsp; \\times &nbsp; q_0$</th>\n</tr>\n<tr>\n<th style=\"text-align: center;\" align=\"left\"></th>\n<td style=\"text-align: center;\">price for year $n$</td>\n<td style=\"text-align: center;\">quantity for base year</td>\n<td style=\"text-align: center;\">price for base year</td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n</tr>\n<tr>\n<th align=\"left\"></th>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n</tr>\n<tr>\n<th align=\"left\"></th>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n</tr>\n<tr>\n<th align=\"left\"></th>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n<td></td>\n</tr>\n</tbody>\n</table>", "showCorrectAnswer": true, "marks": 0}], "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "stepsPenalty": 0, "variableReplacementStrategy": "originalfirst", "marks": 10, "showCorrectAnswer": true}], "ungrouped_variables": ["qc3", "pa1", "pa2", "pa3", "pb1", "qa3", "pb3", "pb2", "pc2", "pc3", "qa2", "qb2", "qc2", "qb1", "qb3", "pc1", "qa1", "type", "qc1"], "preamble": {"css": "", "js": ""}, "advice": "", "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Laspeyres Price Index</p>\n<p>rebelmaths</p>"}, "variablesTest": {"maxRuns": 100, "condition": ""}, "functions": {}, "rulesets": {}, "type": "question"}, {"name": "Jorj's copy of Paache Quantity Index", "extensions": ["stats"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Jorj Kowszun", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/284/"}], "tags": [], "variables": {"pc2": {"name": "pc2", "definition": "Random(17..20#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pb1": {"name": "pb1", "definition": "Random(11..14#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qa1": {"name": "qa1", "definition": "Random(200..400)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qc1": {"name": "qc1", "definition": "Random(600..650)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qb3": {"name": "qb3", "definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "type": {"name": "type", "definition": "random(['2GB ', '8GB','16GB', 'USB keys'],['small','medium', 'large', 'graffiti  t-shirts'],['bronze', 'silver','gold', 'medals'])", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qb2": {"name": "qb2", "definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qc3": {"name": "qc3", "definition": "Random(600..700)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pa2": {"name": "pa2", "definition": "Random(6..9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pb2": {"name": "pb2", "definition": "Random(11..14#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pa1": {"name": "pa1", "definition": "Random(6..9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qa3": {"name": "qa3", "definition": "Random(200..400)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pb3": {"name": "pb3", "definition": "Random(11..14#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pa3": {"name": "pa3", "definition": "Random(6..9#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qa2": {"name": "qa2", "definition": "Random(200..400)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qc2": {"name": "qc2", "definition": "Random(600..650)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "qb1": {"name": "qb1", "definition": "Random(500..600)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pc1": {"name": "pc1", "definition": "Random(17..20#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}, "pc3": {"name": "pc3", "definition": "Random(17..20#0.01)", "templateType": "anything", "group": "Ungrouped variables", "description": ""}}, "statement": "<p>A company manufactures three types of {type[3]}. The table below shows the prices and quantities sold of the three types of {type[3]} over the three year period 2010-2012. &nbsp;</p>\n<table width=\"567\" height=\"139\" border=\"1\">\n<tbody>\n<tr>\n<th align=\"left\"></th>\n<th style=\"text-align: center;\">Price</th>\n<th style=\"text-align: center;\">Price</th>\n<th style=\"text-align: center;\">Price</th>\n<th style=\"text-align: center;\">Quantity</th>\n<th style=\"text-align: center;\">Quantity</th>\n<th style=\"text-align: center;\">Quantity</th>\n</tr>\n<tr>\n<th align=\"left\"></th>\n<td style=\"text-align: center;\">2010</td>\n<td style=\"text-align: center;\">2011</td>\n<td style=\"text-align: center;\">2012</td>\n<td style=\"text-align: center;\">2010</td>\n<td style=\"text-align: center;\">2011</td>\n<td style=\"text-align: center;\">2012</td>\n</tr>\n<tr>\n<th align=\"left\">{type[0]}</th>\n<td style=\"text-align: center;\">{pa1}</td>\n<td style=\"text-align: center;\">{pa2}</td>\n<td style=\"text-align: center;\">{pa3}</td>\n<td style=\"text-align: center;\">{qa1}</td>\n<td style=\"text-align: center;\">{qa2}</td>\n<td style=\"text-align: center;\">{qa3}</td>\n</tr>\n<tr>\n<th align=\"left\">{type[1]}</th>\n<td style=\"text-align: center;\">{pb1}</td>\n<td style=\"text-align: center;\">{pb2}</td>\n<td style=\"text-align: center;\">{pb3}</td>\n<td style=\"text-align: center;\">{qb1}</td>\n<td style=\"text-align: center;\">{qb2}</td>\n<td style=\"text-align: center;\">{qb3}</td>\n</tr>\n<tr>\n<th align=\"left\">{type[2]}</th>\n<td style=\"text-align: center;\">{pc1}</td>\n<td style=\"text-align: center;\">{pc2}</td>\n<td style=\"text-align: center;\">{pc3}</td>\n<td style=\"text-align: center;\">{qc1}</td>\n<td style=\"text-align: center;\">{qc2}</td>\n<td style=\"text-align: center;\">{qc3}</td>\n</tr>\n</tbody>\n</table>\n<p>&nbsp;</p>", "variable_groups": [], "parts": [{"correctAnswerFraction": false, "showFeedbackIcon": true, "correctAnswerStyle": "plain", "allowFractions": false, "maxValue": "{({{qa3}*{pa3}}+{{qb3}*{pb3}}+{{qc3}*{pc3}})/({{qa1}*{pa3}}+{{qb1}*{pb3}}+{{qc1}*{pc3}})*100}+0.5", "type": "numberentry", "prompt": "<p></p>\n<p>&nbsp;Calculate a Paache (current-weighted) Quantity index for 2012, with 2010 as the base year.</p>", "variableReplacements": [], "minValue": "{({{qa3}*{pa3}}+{{qb3}*{pb3}}+{{qc3}*{pc3}})/({{qa1}*{pa3}}+{{qb1}*{pb3}}+{{qc1}*{pc3}})*100}-0.5", "steps": [{"showFeedbackIcon": true, "scripts": {}, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "type": "information", "prompt": "<p>Paasche Price Index $I=\\dfrac{\\sum q_n p_n}{\\sum q_0 p_n}$.</p>\n<p>Note</p>\n<p>- $p$ stands for price and $q$ stands for quantity</p>\n<p>- the subscipt $0$ refers to the base year and the subscript $n$ refers to the year for which the index number is being calculated.</p>\n<p>- $\\sum$ stands for \"sum of\" </p>\n<p>It may be helpful to make out columns</p>\n<table width=\"567\" height=\"139\" border=\"1\">\n<tbody>\n<tr>\n<th align=\"left\">Type</th>\n<th style=\"text-align: center;\">$p_n$</th>\n<th style=\"text-align: center;\">$q_0$</th>\n<th style=\"text-align: center;\">$p_0$</th>\n<th style=\"text-align: center;\">$p_n \\times q_0$</th>\n<th style=\"text-align: center;\">$p_0 &nbsp; \\times &nbsp; q_0$</th>\n</tr>\n<tr>\n<th align=\"left\"></th>\n<td style=\"text-align: center;\">price for year $n$</td>\n<td style=\"text-align: center;\">quantity for base year</td>\n<td style=\"text-align: center;\">price for base year</td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n</tr>\n<tr>\n<th align=\"left\"></th>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n</tr>\n<tr>\n<th align=\"left\"></th>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n</tr>\n<tr>\n<th align=\"left\"></th>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n<td style=\"text-align: center;\"></td>\n</tr>\n</tbody>\n</table>\n<p></p>", "showCorrectAnswer": true, "marks": 0}], "notationStyles": ["plain", "en", "si-en"], "scripts": {}, "stepsPenalty": 0, "variableReplacementStrategy": "originalfirst", "marks": 10, "showCorrectAnswer": true}], "ungrouped_variables": ["qc3", "pa1", "pa2", "pa3", "pb1", "qa3", "pb3", "pb2", "pc2", "pc3", "qa2", "qb2", "qc2", "qb1", "qb3", "pc1", "qa1", "type", "qc1"], "preamble": {"css": "", "js": ""}, "advice": "", "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Laspeyres Price Index</p>\n<p>rebelmaths</p>"}, "variablesTest": {"maxRuns": 100, "condition": ""}, "functions": {}, "rulesets": {}, "type": "question"}]}], "showstudentname": true, "duration": 0, "navigation": {"onleave": {"message": "", "action": "none"}, "reverse": true, "allowregen": true, "showfrontpage": true, "showresultspage": "oncompletion", "preventleave": true, "browse": true}, "type": "exam", "contributors": [{"name": "Jorj Kowszun", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/284/"}], "extensions": ["stats"], "custom_part_types": [], "resources": []}