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For each set, the prompt asks students to select the correct explanation for why median or mode or mean was the best descriptor. Multiple-choice options reference frequency, relative size of outliers, and whether values are all distinct or evenly spread. An answer key provides the selected choices for the median and mode/mean questions.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/justifying-a-measure-of-center-answer-key/476655/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/justifying-a-measure-of-center-answer-key/476655.png","ImageObject",300,407,{"name":92,"@type":93},"Cart","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Which measure of center is chosen for the cookies data set, and why?","Question",{"text":112,"@type":113},"The median is used, and the correct explanation is that one value is much greater than the others, making the median a better center measure.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you determine the mode for the stamps data set?",{"text":117,"@type":113},"The mode is selected because one stamp value appears more often than the others.",{"name":119,"@type":110,"acceptedAnswer":120},"Why is the mean used for the jumping jacks data set?",{"text":121,"@type":113},"The mean is chosen because the values describe an overall balance without the key outlier behavior referenced by the other options.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},476655,1791110776,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39},18829141979164,"https://eur-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Justifying a Measure of Center  \nName:  \n\n| Choose the statement about the data that explains why the measure was chosen.\u003Cbr>1) The list shows the number of cookies each baker made.\u003Cbr>18, 21, 17, 14, 102\u003Cbr>The median best describes this data. Which statement explains why?\u003Cbr>A. One value appears more often than any other.\u003Cbr>B. One value is much less than all of the others.\u003Cbr>C. One value is much greater than all of the others.\u003Cbr>D. The values are all different, and none is far from the rest. |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n|  |  | 1.  \u003Cbr>2.  \u003Cbr>3.   |  |  |  |\n| 2) The list shows the number of stamps each collector owned.\u003Cbr>23, 14, 14, 16, 14\u003Cbr>The mode best describes this data. Which statement explains why?\u003Cbr>A. The mean, the median, and the mode are all the same number.\u003Cbr>B. One value appears more often than any other.\u003Cbr>C. The values are all different, and none is far from the rest.\u003Cbr>D. One value is much greater than all of the others. |  | 4.  \u003Cbr>5.   |  |  |  |\n| 3) The list shows the number of jumping jacks Ned did during warm-up.\u003Cbr>17, 30, 24, 35, 18\u003Cbr>The mean best describes this data. Which statement explains why?\u003Cbr>A. The values are all different, and none is far from the rest.\u003Cbr>B. The mean, the median, and the mode are all the same number.\u003Cbr>C. One value is much greater than all of the others.\u003Cbr>D. One value appears more often than any other. |  |  |  |  |  |\n| 4) The list shows the number of cans each family donated.\u003Cbr>6, 8, 11, 75, 12\u003Cbr>The median best describes this data. Which statement explains why?\u003Cbr>A. One value appears more often than any other.\u003Cbr>B. One value is much greater than all of the others.\u003Cbr>C. The values are all different, and none is far from the rest.\u003Cbr>D. The mean, the median, and the mode are all the same number. |  |  |  |  |  |\n| 5) The list shows the number of coins each collector found. 15, 5, 5, 12, 5\u003Cbr>The mode best describes this data. Which statement explains why?\u003Cbr>A. The values increase by the same amount each time.\u003Cbr>B. One value appears more often than any other.\u003Cbr>C. The values are all different, and none is far from the rest.\u003Cbr>D. One value is much greater than all of the others. |  |  |  |  |  |\n| 1-5 | 80 | 60 | 40 | 20 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nMath  \nJustifying a Measure of Center  \nName: Answer Key  \n\n| Choose the statement about the data that explains why the measure was chosen.\u003Cbr>1) The list shows the number of cookies each baker made.\u003Cbr>18, 21, 17, 14, 102\u003Cbr>The median best describes this data. Which statement explains why?\u003Cbr>A. One value appears more often than any other.\u003Cbr>B. One value is much less than all of the others.\u003Cbr>C. One value is much greater than all of the others.\u003Cbr>D. The values are all different, and none is far from the rest. |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n|  |  | 1.  C \u003Cbr>2.  B \u003Cbr>3.  A \u003Cbr>4. B |  |  |  |\n| 2) The list shows the number of stamps each collector owned.\u003Cbr>23, 14, 14, 16, 14\u003Cbr>The mode best describes this data. Which statement explains why?\u003Cbr>A. The mean, the median, and the mode are all the same number.\u003Cbr>B. One value appears more often than any other.\u003Cbr>C. The values are all different, and none is far from the rest.\u003Cbr>D. One value is much greater than all of the others. |  | 5.  B  |  |  |  |\n| 3) The list shows the number of jumping jacks Ned did during warm-up.\u003Cbr>17, 30, 24, 35, 18\u003Cbr>The mean best describes this data. Which statement explains why?\u003Cbr>A. The values are all different, and none is far from the rest.\u003Cbr>B. The mean, the median, and the mode are all the same number.\u003Cbr>C. One value is much greater than all of the others.\u003Cbr>D. One value appears more often than any other. |  |  |  |  |  |\n| 4) The list shows the number of cans each family donated.\u003Cbr>6, 8, 11, 75, 12\u003Cbr>The median best describes this data. Which statement explains why?\u003Cbr>A. One value appears more often than any ot","cbCailJ1OPwT5fQv","https://ap.wps.com/l/cbCailJ1OPwT5fQv","pdf",41515,"English","# Justifying a Measure of Center\n## Problem 1: Cookies (median)\n## Problem 2: Stamps (mode)\n## Problem 3: Jumping jacks (mean)\n## Problem 4: Cans donated (median)\n## Problem 5: Coins found (mode)","[{\"question\":\"Which measure of center is chosen for the cookies data set, and why?\",\"answer\":\"The median is used, and the correct explanation is that one value is much greater than the others, making the median a better center measure.\"},{\"question\":\"How do you determine the mode for the stamps data set?\",\"answer\":\"The mode is selected because one stamp value appears more often than the others.\"},{\"question\":\"Why is the mean used for the jumping jacks data set?\",\"answer\":\"The mean is chosen because the values describe an overall balance without the key outlier behavior referenced by the other options.\"}]","Justifying a Measure of Center - Answer Key | PDF",1790788306]