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{"name": "Statistical notation - notation 1: summary statistics", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Statistical notation - notation 1: summary statistics", "tags": [], "metadata": {"description": "<p>Notation for mean and standard deviation of population and sample.</p>", "licence": "None specified"}, "statement": "<p>Select the standard symbol for each definition.</p>", "advice": "<p>The standard symbols with associated definitions are shown below:</p>\n<table style=\"height: 128px; width: 646px;\" width=\"44\">\n<tbody>\n<tr style=\"height: 18px;\">\n<td style=\"height: 18px; width: 83.2344px;\">$\\bar{x}$</td>\n<td style=\"height: 18px; width: 529.766px;\">The mean of the sample set, where the set is called $X$</td>\n</tr>\n<tr style=\"height: 18px;\">\n<td style=\"height: 18px; width: 83.2344px;\">$\\mu_x$</td>\n<td style=\"height: 18px; width: 529.766px;\">The mean of the population, where the population is called $X$</td>\n</tr>\n<tr style=\"height: 18px;\">\n<td style=\"height: 18px; width: 83.2344px;\">$s_x$</td>\n<td style=\"height: 18px; width: 529.766px;\">The standard deviation of the sample, where the sample is called $X$</td>\n</tr>\n<tr style=\"height: 18px;\">\n<td style=\"height: 18px; width: 83.2344px;\">$\\sigma_x$</td>\n<td style=\"height: 18px; width: 529.766px;\">The standard deviation of the population, where the population is called $X$</td>\n</tr>\n</tbody>\n</table>\n<p>Follow the link for more information about <a href=\"https://bathmash.github.io/notation\">mathematical notation</a></p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "m_n_x", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minMarks": 0, "maxMarks": 0, "minAnswers": "4", "maxAnswers": "4", "shuffleChoices": true, "shuffleAnswers": true, "displayType": "radiogroup", "warningType": "none", "showCellAnswerState": true, "markingMethod": "sum ticked cells", "choices": ["The mean of the sample set, where the set is called $X$.", "The mean of the population, where the population is called $X$.", "The standard deviation of the population, where the population is called $X$.", "The standard deviation of the sample, where the sample is called $X$."], "matrix": [["1", 0, 0, 0], [0, "1", 0, 0], [0, 0, "1", 0], [0, 0, 0, "1"]], "layout": {"type": "all", "expression": ""}, "answers": ["$\\bar{x}$", "$\\mu_{x}$", "$\\sigma_{x}$", "$s_{x}$"]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Ruth Hand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3228/"}, {"name": "Ben McGovern", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4872/"}]}]}], "contributors": [{"name": "Ruth Hand", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3228/"}, {"name": "Ben McGovern", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/4872/"}]}