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Students choose the correct explanation for five scenarios, including median for jumping jacks and stamps, mean for coins and goals, and mode for jogging minutes. 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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. One value is much less than all of the others. |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n|  |  | 1.  \u003Cbr>2.  \u003Cbr>3.   |  |  |  |\n| 2) The list shows the number of coins each student found in the couch.\u003Cbr>5, 7, 3, 6, 13\u003Cbr>The mean best describes this data. Which statement explains why?\u003Cbr>A. The values increase by the same amount each time.\u003Cbr>B. One value is much greater than all of the others.\u003Cbr>C. One value appears more often than any other.\u003Cbr>D. The values are all different, and none is far from the rest. |  | 4.  \u003Cbr>5.   |  |  |  |\n| 3) The list shows the number of minutes Mike jogged each day.\u003Cbr>33, 15, 15, 15, 35\u003Cbr>The mode 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 mean, the median, and the mode are all the same number.\u003Cbr>D. The values are all different, and none is far from the rest. |  |  |  |  |  |\n| 4) The list shows the number of goals each team scored.\u003Cbr>8, 4, 3, 1, 5\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. The values are all different, and none is far from the rest.\u003Cbr>C. One value appears more often than any other.\u003Cbr>D. One value is much greater than all of the others. |  |  |  |  |  |\n| 5) The list shows the number of stamps each student had in a collection.\u003Cbr>69, 21, 11, 18, 16\u003Cbr>The median 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. One value is much less than all of the others.\u003Cbr>D. The values are all different, and none is far from the rest. |  |  |  |  |  |\n| 1-5 | 80 | 60 | 40 | 20 | 0 |\n\n[www.CommonCoreSheets.com](www.CommonCoreSheets.com 7)[ 7](www.CommonCoreSheets.com 7)  \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 jumping jacks Henry did in gym class.\u003Cbr>14, 21, 11, 103, 16\u003Cbr>The median 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. One value is much less than all of the others. |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n|  |  | 1.  A \u003Cbr>2.  D \u003Cbr>3.  B \u003Cbr>4. B |  |  |  |  |\n| 2) The list shows the number of coins each student found in the couch.\u003Cbr>5, 7, 3, 6, 13\u003Cbr>The mean best describes this data. Which statement explains why?\u003Cbr>A. The values increase by the same amount each time.\u003Cbr>B. One value is much greater than all of the others.\u003Cbr>C. One value appears more often than any other.\u003Cbr>D. The values are all different, and none is far from the rest. |  | 5. |  | A |  |  |\n|  |  |  |  |  |  |  |\n| 3) The list shows the number of minutes Mike jogged each day.\u003Cbr>33, 15, 15, 15, 35\u003Cbr>The mode 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 mean, the median, and the mode are all the same number.\u003Cbr>D. The values are all different, and none is far from the rest. |  |  |  |  |  |  |\n| 4) The list shows the number of goals each team scored.\u003Cbr>8, 4, 3, 1, 5\u003Cbr>The mean best describes this data","cbCaikxI2ondkzyQ","https://ap.wps.com/l/cbCaikxI2ondkzyQ","pdf",41610,"English","# Choose the statement about the data that explains why the measure was chosen\n## Problem 1: Jumping jacks (median)\n## Problem 2: Coins found in the couch (mean)\n## Problem 3: Minutes Mike jogged each day (mode)\n## Problem 4: Goals each team scored (mean)\n## Problem 5: Stamps in a collection (median)","[{\"question\":\"When should the median be chosen for a data set?\",\"answer\":\"Choose the median when the values are best represented by the middle value and the data are not appropriately described by frequency of a repeated value or by the presence of extreme outliers.\"},{\"question\":\"How do you decide that the mean is the best measure of center?\",\"answer\":\"The mean is best when averaging the values meaningfully represents the data, rather than when one value dominates by extreme size or when the dataset is best characterized by repeated values.\"},{\"question\":\"When is the mode the best measure of center?\",\"answer\":\"Use the mode when one value appears more often than any other, indicating the dataset’s center is characterized by the most frequent value.\"}]","Justifying a Measure of Center - Answer Key | PDF",1790788319]