{"id":"cb_question_bank:16143969-e2a6-40cc-bc0b-00474d8f2dc8","source_id":"cb_question_bank","source_item_id":"16143969-e2a6-40cc-bc0b-00474d8f2dc8","external_id":"d2d90742-b90d-4d9c-b0ec-3254255f86be","ibn":null,"question_id":"a456cfd2","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.C.","skill":"One-variable data: Distributions and measures of center and spread","difficulty":"M","score_band":5,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"Data value Frequency 6 3 7 3 8 8 9 8 10 9 11 11 12 9 13 0 14 6 The frequency table summarizes the 57 data values in a data set. What is the maximum data value in the data set?","stimulus":"","stimulus_html":null,"stem_html":"<figure class=\"table\"><figure class=\"table\"><table border=\"1\">\n<tbody>\n<tr style=\"height: 22.3958px;\">\n<th style=\"width: 47.6772%; height: 22.3958px; text-align: center;\" scope=\"col\">Data value</th>\n<th style=\"width: 47.6772%; height: 22.3958px; text-align: center;\" scope=\"col\">Frequency</th>\n</tr>\n<tr style=\"height: 22.3958px;\">\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"6\"><mn>6</mn>\n</math></td>\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"3\"><mn>3</mn>\n</math></td>\n</tr>\n<tr style=\"height: 22.3958px;\">\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"7\"><mn>7</mn>\n</math></td>\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"3\"><mn>3</mn>\n</math></td>\n</tr>\n<tr style=\"height: 22.3958px;\">\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"8\"><mn>8</mn>\n</math></td>\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"8\"><mn>8</mn>\n</math></td>\n</tr>\n<tr style=\"height: 22.3958px;\">\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"9\"><mn>9</mn>\n</math></td>\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"8\"><mn>8</mn>\n</math></td>\n</tr>\n<tr style=\"height: 22.3958px;\">\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"10\"><mn>10</mn>\n</math></td>\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"9\"><mn>9</mn>\n</math></td>\n</tr>\n<tr style=\"height: 22.3958px;\">\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"11\"><mn>11</mn>\n</math></td>\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"11\"><mn>11</mn>\n</math></td>\n</tr>\n<tr style=\"height: 22.3958px;\">\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"12\"><mn>12</mn>\n</math></td>\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"9\"><mn>9</mn>\n</math></td>\n</tr>\n<tr style=\"height: 22.3958px;\">\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"13\"><mn>13</mn>\n</math></td>\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"0\"><mn>0</mn>\n</math></td>\n</tr>\n<tr style=\"height: 22.3958px;\">\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"14\"><mn>14</mn>\n</math></td>\n<td style=\"width: 47.6772%; height: 22.3958px; text-align: center;\"><math alttext=\"6\"><mn>6</mn>\n</math></td>\n</tr>\n</tbody>\n</table></figure></figure>\n<p style=\"text-align: left;\">The frequency table summarizes the <math alttext=\"57\"><mn>57</mn>\n</math> data values in a data set. What is the maximum data value in the data set?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\"14\"><mn>14</mn>\n</math>. The maximum value is the largest value in the data set. The frequency refers to the number of times a data value occurs. The given frequency table shows that for this data set, the data value <math alttext=\"6\"><mn>6</mn>\n</math> occurs three times, the data value <math alttext=\"7\"><mn>7</mn>\n</math> occurs three times, the data value <math alttext=\"8\"><mn>8</mn>\n</math> occurs eight times, the data value <math alttext=\"9\"><mn>9</mn>\n</math> occurs eight times, the data value <math alttext=\"10\"><mn>10</mn>\n</math> occurs nine times, the data value <math alttext=\"11\"><mn>11</mn>\n</math> occurs eleven times, the data value <math alttext=\"12\"><mn>12</mn>\n</math> occurs nine times, the data value <math alttext=\"13\"><mn>13</mn>\n</math> occurs zero times, and the data value <math alttext=\"14\"><mn>14</mn>\n</math> occurs six times. Therefore, the maximum data value in the data set is <math alttext=\"14\"><mn>14</mn>\n</math>.</p>","correct_answer":["14"],"has_media":false,"has_mathml":true,"has_table":true,"source_created_at":"2023-08-02T20:25:59.832000+00:00","source_updated_at":"2023-08-02T20:25:59.832000+00:00","options":[],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}