[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-476657-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-476657-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","justifying-a-measure-of-center-answer-key-476657","Justifying a Measure of Center - Answer Key","","Math answer key focused on selecting which statistical measure best describes each given data set and matching it to the correct explanation. Five scenarios present lists of values for steps, team goals, player goals, collected seashells, and photos. For each scenario, a choice among statements about mean, median, or mode is provided, including options involving outliers, repeated values, uniform increase, and overall spread. 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Mean is used when the data supports an even distribution, median when the middle value is most representative, and mode when repeated values occur most often.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What type of statement justifies using the mean for Adam’s steps?",{"text":68,"@type":64},"The mean is justified by the correct option describing why that measure best represents the listed steps, including considering whether one value dominates or whether values follow a pattern such as consistent increases.",{"name":70,"@type":61,"acceptedAnswer":71},"When should you choose the mode instead of the mean or median for the goals or seashells?",{"text":72,"@type":64},"Choose the mode when one value appears more often than the others. 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Which statement explains why?\u003Cbr>A. One value is much greater than all of the others.\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. The values increase by the same amount each time. |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n|  |  | 1.  \u003Cbr>2.  \u003Cbr>3.   |  |  |  |\n| 2) The list shows the number of goals each team scored. 20, 1, 4, 3, 2\u003Cbr>The median best describes this data. Which statement explains why?\u003Cbr>A. The mean, the median, and the mode are all the same number.\u003Cbr>B. The values are all different, and none is far from the rest.\u003Cbr>C. One value is much greater than all of the others.\u003Cbr>D. One value appears more often than any other. |  | 4.  \u003Cbr>5.   |  |  |  |\n| 3) The list shows the number of goals each player scored this season.\u003Cbr>8, 12, 12, 12, 5\u003Cbr>The mode best describes this data. Which statement explains why?\u003Cbr>A. One value is much less than all of the others.\u003Cbr>B. The values are all different, and none is far from the rest.\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 seashells Carol collected each visit to the beach.\u003Cbr>14, 20, 20, 20, 13\u003Cbr>The mode best describes this data. Which statement explains why?\u003Cbr>A. No value appears more than once.\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. One value appears more often than any other. |  |  |  |  |  |\n| 5) The list shows the number of photos Tiffany took on each field trip.\u003Cbr>32, 17, 22, 31, 10\u003Cbr>The mean 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 is much greater than all of the others.\u003Cbr>C. The values are all different, and none is far from the rest.\u003Cbr>D. One value appears more often than any other. |  |  |  |  |  |\n| 1-5 | 80 | 60 | 40 | 20 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 1)[ 1](www.CommonCoreSheets.com 1)  \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 steps Adam climbed each visit.\u003Cbr>15, 31, 39, 16, 12\u003Cbr>The mean best describes this data. Which statement explains why?\u003Cbr>A. One value is much greater than all of the others.\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. The values increase by the same amount each time. |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n|  |  | 1.  C \u003Cbr>2.  C \u003Cbr>3.  D \u003Cbr>4. D |  |  |  |  |\n| 2) The list shows the number of goals each team scored. 20, 1, 4, 3, 2\u003Cbr>The median best describes this data. Which statement explains why?\u003Cbr>A. The mean, the median, and the mode are all the same number.\u003Cbr>B. The values are all different, and none is far from the rest.\u003Cbr>C. One value is much greater than all of the others.\u003Cbr>D. One value appears more often than any other. |  | 5. |  | C |  |  |\n|  |  |  |  |  |  |  |\n| 3) The list shows the number of goals each player scored this season.\u003Cbr>8, 12, 12, 12, 5\u003Cbr>The mode best describes this data. Which statement explains why?\u003Cbr>A. One value is much less than all of the others.\u003Cbr>B. The values are all different, and none is far from the rest.\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 seashells Carol collected each visit to the beach.\u003Cbr>14, 20, 20, 20, 13\u003Cbr>The mode best describes th","cbCaie035Xkim8ic","https://ap.wps.com/l/cbCaie035Xkim8ic","pdf",422888,"English","# Justifying a Measure of Center\n## Choose the correct explanation for each data set\n### Adam's steps (mean)\n### Teams' goals (median)\n### Players' goals (mode)\n### Carol's seashells (mode)\n### Tiffany's photos (mean)","[{\"question\":\"How do you decide which measure of center (mean or median or mode) fits a data set?\",\"answer\":\"Use the scenario’s values to match the measure to the explanation. Mean is used when the data supports an even distribution, median when the middle value is most representative, and mode when repeated values occur most often.\"},{\"question\":\"What type of statement justifies using the mean for Adam’s steps?\",\"answer\":\"The mean is justified by the correct option describing why that measure best represents the listed steps, including considering whether one value dominates or whether values follow a pattern such as consistent increases.\"},{\"question\":\"When should you choose the mode instead of the mean or median for the goals or seashells?\",\"answer\":\"Choose the mode when one value appears more often than the others. The justification focuses on repetition and frequency rather than the average or middle value.\"}]","Justifying a Measure of Center - Answer Key | PDF",1790788310,76]