IM 6.8.11 Lesson: Variability and MAD
Elena, Jada, and Lin enjoy playing basketball during recess. Lately, they have been practicing free throws. They record the number of baskets they make out of 10 attempts. Here are their data sets for 12 school days.
Elena[br]4 5 1 6 9 7 2 8 3 3 5 7[br][br]Jada[br]2 4 5 4 6 6 4 7 3 4 8 7[br][br]Lin[br]3 6 6 4 5 5 3 5 4 6 6 7[br][br]Calculate the mean number of baskets each player made, and compare the means. What do you notice?
What do the means tell us in this context?
Below are the dot plots showing the number of baskets Elena, Jada, and Lin each made over 12 school days.
On each dot plot, mark the location of the mean with a triangle ([math]\Delta[/math]). Then, contrast the dot plot distributions. Write 2–3 sentences to describe the shape and spread of each distribution.
For each dot plot, drag the triangles to mark the location of the mean.
Discuss the following questions with your group. Explain your reasoning.
Would you say that all three students play equally well?
Would you say that all three students play equally consistently?
If you could choose one player to be on your basketball team based on their records, who would you choose?
The tables show Elena, Jada, and Lin’s basketball data from an earlier activity. Recall that the mean of Elena’s data, as well as that of Jada and Lin’s data, was 5. Record the distance between each of Elena’s scores and the mean.
Now find [i]the average of the distances[/i] in the table. Show your reasoning and round your answer to the nearest tenth.[br]This value is the [b]mean absolute deviation (MAD)[/b] of Elena’s data.[br][br]Elena’s MAD: _________
Jada’s MAD: _________
Lin's MAD: _________
Compare the MADs and dot plots of the three students’ data. Do you see a relationship between each student’s MAD and the distribution on her dot plot? Explain your reasoning.[br][br][img]data:image/png;base64,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[/img]
Invent another data set that also has a mean of 5 but has a MAD greater than 2. Remember, the values in the data set must be whole numbers from 0 to 10.
Use the applet below to play the following game with your group.
[br][list][*]To play: Draw 3 cards and add up the values. An ace is a 1. A jack, queen, and king are each worth 10. Cards 2–10 are each worth their face value. If your sum is anything other than 22 (either above or below 22), say: “My sum deviated from 22 by ____ [i],[/i]” or “My sum was off from 22 by ____ .”[/*][*]To keep score: Record each sum and each distance from 22 in the table. After five rounds, calculate the average of the distances. The player with the lowest average distance from 22 wins the game.[/*][/list]
To keep score: Record each sum and each distance from 22 in the table. After five rounds, calculate the average of the distances. The player with the lowest average distance from 22 wins the game.
Average distance from 22: ____________
Average distance from 22: ____________
Average distance from 22: ____________
Whose average distance from 22 is the smallest? Who won the game?
IM 6.8.11 Practice: Variability and MAD
Han recorded the number of pages that he read each day for five days. The dot plot shows his data.
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[/img][br][br]Is 30 pages a good estimate of the mean number of pages that Han read each day? Explain your reasoning.
Find the mean number of pages that Han read during the five days.
Drag a triangle to mark the mean on the dot plot.
Use the dot plot and the mean to complete the table.
Calculate the mean absolute deviation (MAD) of the data. Explain or show your reasoning.
Ten sixth-grade students recorded the amounts of time each took to travel to school. The dot plot shows their travel times.
[size=150]The mean travel time for these students is approximately 9 minutes. The MAD is approximately 4.2 minutes.[/size][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAawAAACFCAYAAAAHHMzmAAAgAElEQVR4Ae3dB5QsRdUHcAOggGRBJEpQQHIWyYggSbIkyYqCRAWUoKKIIEFAokgGRQTJQXIGQRGQIILkHBSRZPzqO7/CWvsNM7sz+3a2Z967fc6cnunprvCvW/df99at6nelOAKBQCAQCAQCgT5A4F19UMYoYiAQCAQCgUAgkIKwQggCgUAgEAgE+gKBIKy+aKYoZCAQCAQCgUAQVshAIBAIBAKBQF8gEITVF80UhQwEAoFAIBAYLwnr//7v/9I//vGPdNNNN6XVV189TTTRRPmz0korpUsvvTT9/e9/T//5z39COgKBQCAQCAR6CIHxkrD+/e9/p9tvvz0tuuiimaje8573JJ8JJpggLbzwwunyyy9P//znP3uomaIogUAgEAgEAuMlYb3xxhtphx12SJNPPnl697vfnd71rnflj++TTjpp2m677dJLL70U0hEIBAKBQCDQQwiMl4T1wgsvDLgCC1mVM/fgmmuume6///4eaqYoSiAQCAQCgcB4SVgvv/xyWnfdddP73ve+AeuqENaEE06Y1llnnfTQQw+FdAQCgUAgEAj0EALjJWEJuDj44IPT9NNPn+euilvQebrppkv77bdfevXVV3uomaIogUAgEAgEAuMlYYkAfPzxxwfmsd773vcmn8kmmyxtueWW2R0oMCOOQCAQCAQCgd5BYLwkLGHtCOmxxx5L55xzTtpnn33Svvvum84444zsCvzXv/6V3BNHIBAIBAKBQO8gMF4SVoEfKQlf/8tf/pI/1l8FURV04hwIBAKBQG8hMF4TlqZAUNVPbzVPlCYQCAQCgUCgIDDeE1YBIs6BQCAQCAQCvY1AEFZvt0+ULhAIBAKBQOC/CARhhSgEAoFAIBAI9AUCQVh90UxRyEAgEAgEAoGuEpZgBuHjr7zySnrggQfSH/7whxyN59poROPJw5qrt956Kz355JPpvvvuS0888UR6880383URgn/961/zuivl+/Of/5wipD06RSAQCAQCvYlA1wirkJVXeOyxxx5pgw02yJ9vfetb6Y477siv9+g2JMgKCZ188slp6623ztsxOZ9yyinp+eefTzfffHPae++90/rrr58/3/jGN9INN9wQO7V3u2Ei/UAgEAgEhoFA1wgLWdx2221pxRVXzDugl3dOTT311Jm4vN6j21aWdVW2YJpjjjkG3nll/8A555wz73KhbHa3KGWze7uNb6+//vpsaQ0Dz3gkEAgEAoFAoEsIdI2wuP1YM+9///vf8QqPD3zgA+mAAw5IXvPRLdKSLjfgzDPPnPcLLJvbOpfXiNiOqXrdd6S12267ZTdmlzCPZAOBQCAQCASGgUDXCMvuEYssssg7yKIQxlZbbZXnk1hiI30Ud+TFF1+cd2Qvm9tWyanZNf+zttZaa6085zbS5Yr0AoFAIBAIBIaPQFcIC2H87W9/SwsuuGBLwrLJrA1o6yAsZBWENXyhiScDgUAgEKgDga4QlooUl+DEE088Bml5FT034f7775+j97rpEnzxxRfzK0QaXX/KMMEEE4xRrmJ9mdPiEnzttdfqaI/IMxAIBAKBQKAFAl0jLJbT73//+7T44ovneaES2DDllFPmaL0777yzRZFG7rL3Xh155JGZtBCnMjjPMMMMaZdddsllm2KKKcYIulhllVVysIjw9jgCgUAgEAgEegeBrhFWmUey9mqnnXZKyy23XFpppZXSXnvtNWrvm0KaLKWzzjorrbfeemmZZZbJ4etnn312Xg+mbHvuuWdadtll0/LLL5923XXXhEg91y3Lr3eaPkoSCAQCgUB/IdA1wgJDIS3h5RboCsRg9YwmISgDawlxWZNlbs2C4XJdeSxs9p9yhmXVXwIcpQ0EAoHxB4GuElaBETlUP+X6aJ4Hy3+w/0azjJFXIBAIBAKBQGsERoWwWmcf/wQCgUAgEAgEAu0hEITVHk5xVyAQCAQCgUDNCARh1dwAkX0gEAgEAoFAewiMCmGVOaLRDLaoVr/kXz2X/6vXfB/bQxqlniOR3tiWp/p8qWspX/W/4Xzv5boOpz7xTCAQCPQ2Al0nLEpNVJ4IvBKFN9qK3CJm0YDyd/bbQXGLCqyWzbXhHo3pyWds0htuOVo9p65VHJRtuG1RbVdpSnu4abUqb1wPBAKBQKCKQNcIi/KisF9//fV0wgknpE033TRtscUW6bTTTht4J1a1IN34TiEjo3vuuSevt9poo42SV4j89re/ze/EEmrv1SObbbZZ2mSTTXI5X3rppQELqd0ylbq+/PLL6Zhjjsm70W+++eZ5/Zdw+rEhhnbLMNh98jdouPLKK9OOO+6YF257zcuf/vSngRD/wZ5v/A852Vj4iCOOyOvattlmm3TRRReNMRhofCZ+BwKBQCAwtgh0jbAoSUpt1VVXzVsxTTjhhMnHzhKI66GHHhrbsg/5vJH/eeedl3e2sMtFKcNss82Wjj766LT66qunSSaZZOC67+uuu256+OGHB6ywITP57zZU999/f36Vim2nSj62ebLJ73PPPVerpYWYv/e972UcStm8ZmWeeeZJl19+eUd11a633HJLWmGFFfKuISU9O/DvsMMOeT1bWFrtSE3cEwgEAp0i0DXCMgrffffdE0Vm776yV5/vtmc67LDDsvXTLeUmXRYPpWzfwOpmt/YWtEVT43VlnGaaaRLrg2XY7sGKspsHMi71dJan15scddRR2fpoN72Rvu/8889P8803X65vKZ+yIXGk/cILL7RFqAXT7bffPu+CX21XmNryisWK1OIIBAKBQGCkEegKYVFsdpSwj2BVqVWV5Re+8IX01FNPdUW5yZ87kguMJVElq0IkjddK2SjxddZZpyML8MEHH8zbTrE2SjrlLH/vBbPLR13HfvvtlwcOjXX2e/75509XX311W1YWTG1dZb/FZmkZBHAPBmHV1dKRbyAwbiPQFcICma2OFlpooZaE5fUiTzzxRFcm6hEWpXnhhRdmK6KQRztnhNXp+7AeeOCB7A5sRVjqytqr69h7773f8SLNgsW8886bfvWrX7VNWHfccUcm5/J8OSMw7lB1DcKqq6Uj30Bg3Eaga4Rlkl+QAyXeOBqn2LjdWGHIpRuHdAUVTDfddO/In5Llwmosl+tlLkbwRbvH888/n4NKzIEVBV7OXIzf/OY389uV201vpO875ZRT0qyzzvqOwQPr16bE5hPbIRn3GGQIUmm0nP2eaqqp8puk20lrpOsY6QUCgcC4j0DXCIvSuuaaa9ICCyyQ3XLmi3wo9ZVXXjndeOONXSMrzYawRAgixg9+8IM571KGD33oQ4lL0huRy1yW/3y3o/sVV1zR0Sa4yPmSSy7J6XEBlnwmnXTStNpqqyVWiTm9uo5HHnkkffGLX0xTTz31QNlYkmV+DU7tDBzcI5Dl5z//eXYlqiviL+269tpr5zc1t5NWXVhEvoFAINC/CHSNsCitt956K1111VVZWS6xxBJpqaWWyq/wQFYCFbp9IM2nn346h5oLLlhsscWyu+/YY4/N1hdC3XnnndOSSy6ZlG+77bbL815vvPFGWwq8lF9dPXPppZdmlxgiXHrppXNdRdRR8nUeyFIUo0jBFVdcMbtqP/e5z6UzzzwzsQ47JRjuXtGXIiAXXXTR3K577LFHuuuuu2ol5joxjrwDgUCg+wh0jbAUHWFQ1oIr7rvvvqw0n3322XxtNNxGFLFAgVdffTW7ve69994csi7MmxJnWTzzzDO5bMqnnEi2UwWurp7xLJeZfBCEurK+hpPeSDZ9wYGb0zvAvFjz0UcfzZGQ8On00HYIulpXxCetuuvaaV3i/kAgEOgfBLpKWP0DQ5Q0EAgEAoFAoNcRCMLq9RaK8gUCgUAgEAhkBIKwQhACgUAgEAgE+gKBIKy+aKYoZCAQCAQCgUAQVshAIBAIBAKBQF8gEITVF80UhQwEAoFAIBDomLCEg9vhW1j0aISmNzaRsGmh8l5nMZw1RI3pDee3etuJ/vrrr09C5OsI5RZC7jUpd99997BD8YdT9+ozRRYee+yx2mTB0oQ6ZUE7WJh97bXX5nao4jNa37XDTTfdlJdS+D7aB/m3fOMXv/hFsnSijv6gT1pWYlG7NZ51lIEs2F3nuuuuq1UWrHO1rKZuWbAd3Ui3Q0eEJXNC8eUvfzkvsK1j3Y08benkfVO/+93v2toDb6Q7MEEgFPvuu2+qS1kjba9IOfHEE9Mrr7wy4oIxFGZFFr70pS/lxeHjqyxQ1PZi/PrXv15LO2gnpP2d73wn/exnP8v9c6SVRDuy8Oabb6bPfvazeaeTOgay5M8G05/5zGfy+sfRxgBGZMFg3jv36uiTRRZsdn3WWWfVKgtrrrlmXvM50rIQhDVUb2zyfxDW/xZKB2EFYSGHIKwgLKqyyEIQ1n+JIyyst4EICytl67puazssrP8pqbCwwsIKwmqwcIKwgrCKSPSCLARhBWEVeQyX4P9kYVQtLKP3Zh++chOadjq/7LLLshvAtWb3duuaOTS+6o033jjdfvvt2U/brbxapWsfPROrfNVezaFMre7t1nVvRD7iiCPScccdl98YPNrtUGRh2223zX57GIx2GeRpI95NNtmkVlmwU//Xvva1WtqBfOmT3kpw+umn530zuyVzrdLV7vbrtMH0PffcM+pyoFxcki+++GJ+E4Q9LkdbFpWBXrj44ovzm9aVpY4ykAWvM6pbFrylwp6lQ2GA5DsJDmk6h7XnnnumZh87cn/1q19NCy64YLLb9+67755ca3Zvt67Jb9ddd00f//jH887oo52/eqn3pptumncpN4dTRxkoSK9pMclsx/nRLoP8QhbeloUNN9ww7/hfRzuQR7Lg7QBGtdqkLlmYY445kgHMaOdf+iT8Z5tttrTDDjvUVoZekQUvoe0HWfByWQFs7R5NCWvGGWdMrT7TTz99mnzyydO0006bZphhhpb3tXp+bK/L0/uslMHLGesow4c//OH8jq0pp5wywaOuMsjfO66UZ2xxHc7zIQszZuy1gbaosx2mmGKK5GWhdcgi2dEnvfzUuY4yyJM+UAZyORx5HttntH8vyALd2A+yMNNMM+UXy5500knt8lVqSliHHXZYavY59NBD00EHHZQ++clPJpbFIYccklxrdm+3rsnzgAMOyO+2MoLwu1t5tUr34IMPTl/5ylfSpz/96bTPPvuMOgbK9YMf/CCtt956+a3O3nM12u1QlQXLHOqUhcUXXzyPJuuSBS/H/NSnPpXfNzba7UAW9MlVV101ff7zn8/fW8ltt66r84EHHpjmm2++7G2pAwNt/93vfjfNM8886dvf/vao9wfY0gu9IguW/dAR3WrzVukWWZh33nnzUo+hZMG0huVJ7R5NCWswX3XMYb3tq7ZQNOawXssuIGtPzCEM5a9uJVfDvR5zWG/PNTfOW4x2O8ivl+awHn/88VGXxeocFhdtr8xh1SULozqH1YrthCxSEuP7wmEThb2wcPioo45KP/nJT3IQykgv0GslA+V6kYW612FRlHUuIi+RYbFweMyFw+RjNI9YOPw22giqVxYOP/DAA3kHnJGUhaYWVitBK0pqfCesWDj8dviqwUvdhBXrsGKnC/oqCKv3CMvbzUd6ID1swrrqqquykIwke7Yiyur1xrU3Iw1INa9W3xGWvdtia6a3re2rr766dlm46667RrxztGr/6nUWlq2Z6t6Ox9ZMdW/HUxYOj7ZO0B6FsLiinn322VHfqkwZirUdsvBmEqWIsEZaFjomLL5aAQeUFLIY6QJVlUGz7/K03mHLLbfMG7/WQVg6x6233prXvvCXjzYGcEGa1mCdfPLJtWzAq85FFq655praZMF6tK222qo2WdAOBm/Cc+vaCJmiFIhk41dW72gfZIErat111+2KkmqnPvQA9/Aaa6yRnnvuudr65JVXXlm7LAjCOvvss3ObtIPdSN5TZGGdddZJDz744Ii3Q0eEpWI6KN9kN3bibQc4gOig9957bxZQv0f70DksWLUzs2CDOsqANC2QfPrppzMedZShV2Thvvvuyxsi14EBWTDBbgE5uazjIAtkkaKuYwAHd7LAyhUAUkc7yBNpijhzrqMMRRYefvjhjhbDjqTM9JIsGEyOdDt0TFgKAJSRLkgnjVZ3GeRPOH3qwqFXytALstAr7dCJDI/kvaU/wKGuo5Shrv6g3upfpzxW+2Td7TCuykLHhFVXQ0S+gUAgEAgEAuM3AkFY43f7R+0DgUAgEOgbBNomLD5q0Td33nlnftOudUjmsgRA1Gl+dhNpJj5/uPkBm3rCoJnLw/VnnnkmvwHYW4hhY8LR/Fa/YqOepc3NC6iTut1xxx25rgIuqlioJ1kQGXTzzTfne70R+YUXXqhtjm1sZUP9uJjM15onu+WWWwZknzwIsvB/9YCLuUUbM9sgGRbmt8hRv8pCtX7lu3p6eal6auNq3Xy33ABmomlvuOGGPLcExzpddqXsY3Mu/Zxs04U++oeNXhtf2thMFsxvjQuyoI3VQ9DZb37zm6wf6Aj9vxr4M9Ky0DZhKchee+2VN9lcaKGFko/dmb0WuxuTa2MjVCPxLGVFAYuAsxv4UkstlX83Kih56Zg2/HRPwUaI73nnnZefGYnyjGYaRVH/+te/zhurrrDCCmnRRRfNmx7bBslKfh1UhywH4T3nnHPyW2cLBrbwsk0Owkd+/XYoM7Kx7ZDosyWWWCItvPDCGYdlllkm/ehHP8oBF4W4nXXe7bffPm+GCwf32xBVJCGMxpXjkUceyZvMfvSjH03nnnvuGAEn9IH94VZZZZVcfxgst9xyeesiQULN+lA/4EIeDj/88LTIIovk+qy00krJxybU66+/fh6cFOJ2NrhrlAWbhve7LJBzpGSHm+222y5joH2XX375HDmtjcshCGckZWFIwgK8kZEt6xdbbLEcskkRex23HQYIYwlrLoUcF87PP/98OvXUU5N1HfPPP3/e7Bb41c4GGxFidouGjVc8XHDBBemnP/1p3s19ySWXzKPLotD6BRflVU97syFee5L98pe/zIpJ+Dby2m233XKEYrnXKBMG1l8QUPdbcY/ghNmKquy3g4KiXLbeeuss92eccUa66KKL0mmnnZa22GKLZPPOU045JVsXZIFlZSE1okZyF154Yf5/7bXXznsNwqjfZKGxzdTT632OPvroPDibddZZ05lnnpkHL+oGM/rAvoIGejAzqDWgQ/jHHHNMju5tTLfXf6ubsHn7l37iE59I1r2pi8+xxx6b2/nRRx/N7VtkgTInC/Z6LLKgP9l3UkRlv8qCNlYfBOWtFSeeeGJuc9Y0GS+RoqX/jKQsDElYMmXSG0loLCaxA9hcgkYb3o9VHW33uvANVT4jYeubll122fwqEYJnB2hujiphwca6C/dR5FwjBRsNB5uddtppjNHnUHn3yv86nU519913D1hH2vyll17Ko0YkbgTpPngh7bnnnjvZY9E193KReBUMgmOF9lsHVd4Ssl46YWlfViNlbWRNJoS0U8wGKTb8pNQ9Dwv9x6asCNzvfj6MrMk8xbvBBhvktkVK+r+6+Z8SM1ApBA0HA0DEz1qn2PvtUAf926tL6AOusFYHWbAOiizYJLYqC9zqZAHhSbPfDmW2fII3yUCM562ZTA8mC563dpIscCt3cgxJWAQRgxo9c/kUt4aC68QakMLWgZsVvJPC9Mq9iMjCaCNHnYtweX1BI2HBhlsINl7iV8WGRYHIuUWk0W/YaF9l9ikdq1xjec0555x5Tsf/XKcsbYsFjUKr99t9QQclO/Aq//VKWw9WDmWtfsq9pc5zzTVXtigRlr5ATrgKEVRZk+V5io7laWEtuegnDEqdlVm9yTLPCtk+4YQTslIuhAUHdfVOKtu3kYuCn2dZZR/72MfyPKB7+wmHUncbFvAulIF7wad6JgsGJ2TBvE5VFhA3WTDQ6TdZ0F7qQi/Sh7xJdGVp4yoGRRZmn332prJgH1TuZH1FGu0eQxIWBbT//vtnn21j4oIKmMOUFddJJxm3W8C67jNS9EFCdhHwrpxGwjLpbhuWFVdcMZnvqdaf0BpdcR8YVWnAfj8IpjY3h2X0aAStXlxhLFBWFryKInKGC1cQt6C5DR2/347SIZVdfXXaK664Indac3SuUWDcgUjJovZqe7M0ucSMKP3Xjxgos/bj6uTSogsuvfTSPNIuhEX+tbf3UnltRHWAAkP3s8y5jKty0g/yoP6sCW86R0Y8Ddq4fPxf5J4ssMK8/odnoSoLrC0vgKUz+k0W1JFONGDxAl2DE7/ViYxr/4KD77fddlt+P1orWeAqJAvSaPcYkrAUCsBcACJiqkqZ0PFlypg7pIwk2s281+8jgIMRFtOWhWm01CiYFDvrApmXkUiv13eo8ml7fmqTzNzDokZ1RhFTlBRrs6qkpGdynq97l112yYRPoPvtUG/RXaIEL7vssjyfq8NSXlwa5MT/XGEsD1ZIVUkZvJis50aBX/W/fsECBlyB3Nzm7QxkmxEWfeAljixq+qAocWcuZIMXczrF+uqX+pNb+k/wDdLlVVIXxMPiMngrsi9Qx/ydd2ORj2p7G/T+8Ic/zHNbIkir//U6FjDQburvTefmc5Eylz8suPn0ETqTvNB7BrIlKKdRFriNzY8bCLV7DElYTz31VFbK3D3mM6oAayAbf3KNeM3FuEhY6tjKwuLH5pcX+WM+r4qNUYPgFC8yM0nfz9gQNMJKFnROBMRlChuC6TvCYm1XlRQhfPLJJ/P8p5cLGoX1K2F5fYg5K2+VnWqqqdJmm22WFbB2ho8BC+uKlUUuqvVEWCbndWxKHmb9cqgbuWZRcH2LeqO0tD3yRsJVC4usI6zGQZp0zInyOLA2YVLFqNfxUFYDVLpA1Ke5WZ4G8ziUMrc3Be4+lhNZ4BblfajWU725RmHZb7KgHshFH1B+HxuACzIzCNG23KCFvAWtwaaZLLjH/bwySLzdY0jCYt4KHEBYBK6qlDGp0EaExbTrZ6XcDDCdbDDCooy33XbbTFj333//GNhQZCLlEJYO3c/YaHPBBzqrwAojbG1PgClfLk+ERSnDC27l0GGNQvn+uVCrnbfc0+tnZTZqNh9hgHbkkUfmEeUss8ySI0lhoP1Z2q0Iqygp/aWfCKsoKZYjBSVk2TXy3IywzG8grPPPPz/Xs8iCc1FSyL/f3MPK76PtyHj56AfW5BnMcPmalzJ4IQsIq9ngxfwNLPtRFgxckJAI2WJNkQV4sK55lJAXHE4//fQxCKtRFkwrmFIZUcIyKhbS7nXwfJLVzkYpC8hgIhYB7XXl00n5AKwhWllYGsUoy3o0nbGKjZEUwTSqFpBR/a+TMtR5r/ojK8saWE9MePNyZKIc/qfMEZa5Th24KpjcKP06qi51VB9K2qcoLJjoE+rG7eOzzTbbZMvrj3/84xiDF0S9zz775DWM5niqg76SR6+elRUJTTvttHlQakG8ACttLpLWWjMuLr/NZQhpR1hlAFuVBS7FBRdcMN/PZV7+69W6t1MudaAHrVGlB7l8uYR5XngVGmVB3yELLJF+k4UyeDGfz6vUOOgwOBVQYo6LN4bnBbmRE6RW2tuZLCywwALZVc5ib/cY0sLSGOYmrCcw0Vy1FGQkMopS7jd/bDsAAXYwwoKNSejGaCBpU1JC3eHWb4JZsCGgSNlrTLTxIYcc8o55KArNfMYcc8yRJ5phUhVMMjMuKSl18yltb/5WKL+RJ/eGdXuNc73IjQITrNBv0bTa13yMyD8y4MM6cBblNfnkkyeRYEbLBq0IjUITmNA4eOE68ozXoFQVWJG3fj2rJx1JAfM2FFkwkG2UBf+Z6zEP3G+yQB/Q+dqeTPjuWjm4TM1pbbTRRtkVal6XJYYjBpMFOrbdY0jCMqK8+OKLs1Lm8qGcFJIgA1+jrLrqqnmdRbXw7Ragl+8birB0OpPL/PhGEUzbgo0RhpB2rlTutKLEe7m+pWzKqn2RVQnbNzmqvV33UU/3OVPeRpNwMMoq9xBSa5IoqRJF2o84VOtbsDG69F44ZCyYAAbmcWFgkrl0Zv2HYqLkjTz7zbLQvoiIS5PHoHy4Rc1nITLuXv9zhekDXMBG2gK2iizAwwCOLJhakG4/HUXWiywU+febLAiw4IGAAVkQ8k8WTAtUZYElShZg5r5+6w/6tHlsAzVRk+QbFj7IWdvzOtF5cGklCyxSsiAuohNZGJKwJEYJmasRGcJvrTDmb3TQj3zkI9kV1Emm/SKohGkwC0udmf+UtQ5KKVPqsNGBWR2skn7DRr1ZiNx/RkjmL+wZZ55GcEn5iBJE2jott6e1WUZTIgOtNzHaZHH4DLbQslflQYfTCYVwIx0EzqVj5MhKMJ9n8azrMDCXYRJetCD/PsvKc9///vczNub++klBlXZR5saPdq9GCZYRNAXGHUj2kZu+QE7cK1gHaQ+2hqnk2WtnfZhck2luPm1bZMEcdfEwIKciCyKrBedUZcH0AkUtIKEfZQEOdIH67rjjjlnm8QEiNnVkzl7EODImI6aM6AX6sMgCXVFkgWx0cgxJWEDVACabWVM+CmpEwX9tklkH7kfw2wEK6CYRTaoWYSzPqXOxQFlTa665Zg5QgU3Z5YKQ9xs2youcLPKceuqp80CFz5qpXz5Cuo8//viBQAqWtwlU4a22LWJ9sLwNckQJUf79dpiToXQRLkUr+Eh0mO/cIibWy84eOrJOaimDyXdRYjvvvHMeSesn5i10zn6ThVZtVnQCd7g66ycOOLCstD9ZMNBlidkph7fBHBec+u1QLzrQAMWApCoLLCZ93jy2+7SxOtq+rlEWBCX0syyom8FJWWPKBYgPYLL00ktn6woxuQ8WBq6tZEHf6VQWhiSsIlgUjtfCU95ISoOZ20BWCjauHjqmYBNBBxqqWV0FWJhsNXqyYBA2XALIqtn9vY4VYSN03D4HH3xwbnPtXv1wEYpyIhfuh5MIMqNNLgMRUh5zaPcAABaVSURBVKwtQgkf9/Tbob1t8ouYhWJrWwoYMbMiqttWlboZdbO0zeFQYghOtFSJriv39fuZXJNvARncYNq/HL77jwcGaSMsc730R7+5REud1FefIN/av8gC1xYMms1HFVmwuHxckgV9Wd0MRLl5YWGtLmwEHxnEl6OVLNCpw5GFtglLgymIUScXoQ5IWSlQPyqjAuhQZ3XjFhysrgUbrqGCTfFb9yM2ymzEbD6C5cQ92OxD4NTd/T5kwTWWhM7NbQK7fsSAXJQ6aXsTytpWhywr/JvJPjxgxzXMDcr9ZRRZcBpK3vrlf9jQB9q7sY0LbvoAPUEW6A249LMsaEP11f5VWSgD2ca6jauyoJ7qpt25A2Ghf1T1QZHjkZaFtgmrFCDOgUAgEAgEAoFAHQgEYdWBeuQZCAQCgUAg0DECQVgdQxYPBAKBQCAQCNSBQBBWHahHnoFAIBAIBAIdIxCE1TFk8UAgEAgEAoFAHQgEYdWBeuQZCAQCgUAg0DECQVgdQxYPBAKBQCAQCNSBQBBWHahHnoFAIBAIBAIdIxCE1TFk8UAgEAgEAoFAHQgEYdWBeuQZCAQCgUAg0DECQVgdQxYPBAKBQCAQCNSBQBBWHahHnoFAIBAIBAIdIxCE1TFk8UAgEAgEAoFAHQgEYdWBeuQZCAQCgUAg0DECQVgdQxYPBAKBQCAQCNSBQBBWHahHnoFAIBAIBAIdIxCE1TFk8UAgEAgEAoFAHQgEYdWBeuQZCAQCgUAg0DECQVgdQxYPtIOAV2OXTzv3t3OP9PrtGGkM+q3+Ud5AYCQRCMIaSTQjrQEEbr755rTvvvumW265Jf3zn/8cuN7pl6LwX3/99fSXv/xlrNLqNO+xuV+5//3vf6eXX345KXs/ke1//vOf9Pe//z399a9/TW+99VbyO45AoBcQCMKquRWKQi7nmoszYtkfffTRacopp0zHHntsVnrtKOxmGLj20ksvpUMOOSRtuumm6Y477hixMnYzIeV++OGH06c+9am0yy67ZPLqZn4jmfa//vWvdNZZZ6V11103nX/++enNN98cyeQ7SqvIhHMcgUAQVo0yoBP+4x//SI899lj+GJGPK8dhhx2W3vOe96TDDz88K7zBFE7B4d57783kVMXBfw899FD6/Oc/nz7ykY+kCy+8sC8gYpX86le/SlNPPXVaYIEF+oqwWMTf/va304c//OH0ve99L1tadYCu7ZXlrrvuypZqWHp1tEJv5RmEVWN76ICsh8033zztt99+uXMOpthLUd1TPuVaOZfr5Vyuj+S5pO3c6kBY7373u9siLAT1u9/9Lq200krpiiuuyCRe0pUHl5qRPivr0UcfLX81PQ9Wtup/g5W9mvBwnvG8tn3llVfS1772tfTTn/50SMKq5lPNfzjfq2k1q2f1/2bps7Buu+22TFZ33nnnGO3ReH81rWZ5Nd4/2O/G58nFM888k2abbbZ00UUXZQwb76mm12lZOr2/mld8rweBIKx6cM+5Ugz33XdfmnPOOdPee++d3njjjeSajlo6E8VXfnvIdy4a9xp9Vjuw7573PyVv/qH6rOdLes6tDul4zqfx8Jx0S/qt0umEsMyXnHDCCWnuuefOiqkRB3moa6lPtUzKWMrgLC3PN95b6lTK7r7yXDW96nf/s4ClV8pU/X+w79X85OV3OaRbbRffS7kay12eGezcmB6sSpl9rx7uLRiRk1ZtTI7U3fOeKUdjXkXe5NdYz/JMwaJa5/JfObtHWtW85H3KKaekaaedNp177rk5ffc0K7PnB6t3yaecCw7kWNkb61nui3NvIRCEVUN76FwU0wMPPJC+/vWvp2mmmSZtvPHGWVlfdtll6de//nUeneucDz74YLryyivzbxP4Rr7mhX74wx/m+RwdTXp//vOf0x/+8IdsoZg/+sEPfpB+/OMfp+uuuy4999xzA8rgySefzPcYOVeVQ4HBtaeffjpdc8016fbbb8/3FGXw4osv5iCKk046KR188MHpJz/5SS4PK7FRGbVDWNL929/+lvP53Oc+l6aaaqr0ne98J7v9uNNuuummXG4K5e67707XXntteuGFF0pRc57u++1vf5vdVlxHZ555ZrbEEKCAD2WjSJ999tl04403ZuxYameccUb6zW9+k59TjuoBA+XiojznnHOSuhxxxBHZxcfCo8gbn6k+77v/tcnll1+ey1HFWhrwZT1oG2163HHH5TZTbuV0vRHTxjz8JiPaXZCLZ7iXL7744nTooYfmcnOhugZDFt8999yT6w4DcgJT5ajm5bv5t6uvvjo98sgjWZmrj7zIrLyef/75nC7ZPOqoo7I8nH766Tl9wRrV+iIFFrTnlKH6X6kTmbvkkkvSn/70p3xJGtp1tdVWS5NNNln65je/mf/XP7QzslUmH+n/8Y9/zFa4ttI3LrjgguxKVm/3OEod4EQ2Tj755HTQQQdlLwBClK42U/84ehOBIKwa2kWH1TFNapsnmGiiifIokoXx8Y9/PM/X/P73v8+dcp999smERrEceOCBad55580W2fzzz58QRxmRn3rqqWnhhRdOM888c5pvvvnSQgstlF0p0t99993TE088kRUPAvvgBz+YlltuuayUS2cuMFDGlNlMM82U3VkI0YcC+8Y3vpHz/uhHP5rzmmOOOdKMM86Y5zsovaoiaoewKAbKeZ111slzPRNOOGHOFw7qt+aaa2YMKPhtttkmyZfCKoeyUmbLLrtsHokvv/zy+bkFF1ww4zDLLLOk73//+wk577DDDmmeeeZJ/pM2XGB92mmnpddee21AqUmbsjSy/8QnPpGkYQ4K7tNPP30uq8CPqoIv5ameYUFBf+ADH0jLLLNMVvbl/x/96Ec5f6S/66675vLIQ/txfykbV+Ljjz8+Bqbl+XLWdsq+11575fIZpGy00Ua5vNKC43TTTZfLjDiPP/74BKMiH7PPPnuafPLJ05e+9KVM6KX94HrAAQfktkXUr776ai6HvJQLhhS9IBhYkjXlh495RgSGKMqB9Ny75JJL5kEC4ms8fvazn6UJJpggy556cQ1/5jOfyYE7RS60nzbbbbfdBsorn1/84he5rciscqifdlt55ZWzvBRyUz+Y7rjjjmmGGWZIc801V1pkkUXy/Z7Vxuedd16Wucbyxe/eQCAIq4Z20CGN/M3LUMRTTDFFWm+99dLPf/7z7Pq44YYb8iQzMkISlMoXv/jFtOiii2aFQcn+8pe/zKNKilNH1OG33XbbbAnw91911VXpmGOOycRECYr60rkpHYqDImPBNI4mjT4RBSIqIenKyhJEUFtuuWUeoRtZU+rKLbDAHFzVJdQOYRUFYjS84oorpoknnji7RuFAcaiDNCm8rbbaKlGwl1566UCL+c8z8qfcBAqwKCg7wR4U64c+9KGssClqFgWLzEh+zz33zOQgis/IuhAQcoYfZb/CCiukI488MltJ2uqrX/1qmnXWWdNaa62VFWYjdgMF+6/rFr6TTDJJWmqppTLpl/+RgDalfNdee+2BPFg0rGdzeUXxU7atDnLEEtQ20kMeX/7yl/OcGQuOIt9ss83ygIfsrL766mmPPfYYwJaFvPjii+cBDAuvWOtw3X///TNxslaKxSQvBAtvin6TTTbJVja8ESKSU27Kn3Ve8DE440FYYoklslegGWGZ5zPnicTVi8WkLT0DQ+VWH5YQDwRZVl4DGARFpsmccrAwDfQQkDorizx9lFF/23rrrXN/MxDU3toZ8bNAS7lb4R7X60MgCKs+7LNriWI1MjWHRVGUQ6f1mzKilI0YKVzKw3+Nh1EwhVL9j6uEAqREdGAuPZ1WnpSOtOVRnnGmzHV0pMV9QykgUPmvv/762TJENO51ZgkiRJadaD7XHO0QVqkDpUyBCIOXP6Iuh/RYWK0I6/3vf39+Tv0KNsrGSkD23IzImVKtKkoWpzRZMxSW+ykqaay66qqZsJBUUV7S5I7cYostMnbIGjatDs8NRVhwRqDV+lLECBueX/jCF7J7tlUeyqTNKXPKHvlx2alnaR/WoDlSOCBcrtFyuI9rFO5cssUSGYywhOizeD796U9nl2nBR5qe23777XN6vAEwVY5OCauUD76f/exnc3oGaKVe5X91QYTkz//V9tBW1gEiT5ZnWcNnYIOwWN3KrnzlkH6R33Itzr2FQBBWje2hQw9FWJTupJNOmhXEYP71oqB0Oh1X2gjLHAyXzVe+8pWs/HRSCgSJffKTn8wuEs/6eE5+5tROPPHErMCkwa3GhaLjU6gULOXkzGJjcVB6FK38HWNDWNIuRzuERSlxv5W8Pes5dfAf641irypXytl8GTIz96Jenjev5RpFydosdVUmdeVWEwTAcqkqyFLecpbXUITFan7qqafGKJc0b7311myVGSAgoFaHNlMv1mKJyFRG18vBOlV/1pz2IRflUF8uMm3HbQkDz6prKwsLYRnsGGApazUv6ckDOZI36fi/W4TFAifbrCg4Kr88S1vxKnAj8goY9CifQQBr1JyYa/CoykXBJs69iUAQVo3t0i5hmadhQehwzQ5KgYLmuuNWooBZY9wfQuZZR0a+OrX7KGGuSO4trhjXfHRglpUROctJR2ZxUM6UtFE4RVb9cAVyKxm1cucUJTaahMVVabRdVZ6+m9dTRxioszqWg1ITmMD1yTVG0Su7eUF14cb71re+NUZdERws/G9+q6r8S7rlPBRhSUP7FKuwPKeNBSiYf0Ga2qHVoY6FsMyDnn322WNg4Dltusoqq2SXGQVflSFlZJkjGG3YDmFxCZInlnsVb3lJm6sYoSEGmLunW4Sl3bSvgZf+8d3vfnegvcglovI/q0o0rvoaDKirdufO5goUXKMtyUdjnVphH9frQSAIqx7cc67tEBa/OuUm4q+qbEqxC6mYazBPY8RpLkMggpG1OQAWQyEsHVI6iE265r0oamUxR2DSWoACl4q0WXWUJ9IU9CC96kfnN3r3QVKljKNJWMpFOVYP9SyERXG1S1iUnkAJLjnzNI11ha/8YFLqWs23fIfdYBYW7Cn94oYrz0kTYXG5dUJYrCSuzcajEBaC1ebVMisjou6EsAQ8qL8500blLm2kOBzCEt1Z5rBKHcjlYC5BFr85ytJWZLG0l+/aioUlEEUkpfIaqJizRHDmOLkTEZ5gEvNXhbhKGeLcWwgEYdXYHu0SFmXEaqoqm1JsabB4jCR1UEpahzRp7cNiQGCFsDyn4yIknVpnNYrn49dpjTwFQVDwFJrrXC6UlLRKuo1no2hh98WKGU3C+tjHPpZJt2BS6lgIy1xVM8JSxkYLixKkcEWSGZU31tNvc3VDRfC1Q1gGIcpVVfzDISxzkdy4gg0aj24Qlug6g5tqueU7XMJCTML5OyUsgzRzkDvvvHOWeUtAGttLW1nKAedykFEDMXIvYlMfEDkryIYFpjxx9CYCQVg1tkshLJ2uVdAFCwthmRxvJCwK4/77788dTuCGUSS3jg7nXqN3cwom96uEpcpG1rbdQUSUhcgrwQbWvUiTwtWxuZy4dxAiF0xJW/rVT7m/KLF+JCz1gRfC4kYsbsJqPct39S11bSZCQVjvdAmKVCRnMCwHDOHMndyMsASSkP9mQRcGcdzXLGgBRfpTaZ/qubGt5Em23YPIEJr+Z/CC/MxdxtGbCARh1dgulL9JfGRj4ry4h0qH4r4YirC4ebjxrKti4UhTZ9RJzY8ImDB6bCQs91mYKVRchJ61M+YmrK/xnDSUQxlYVpTGdtttl+c8dHT/l4+8GpVCJ4RFaQjH5poSmVfFQbqshMGiBEfKwpKXBazag3LlIip1LW1SsC34tBIfaQ3lEhxfLCxzp9pPAIxoTe1dZIccss7tFdmMsEQBkj3zcwip4K49RPotvfTSebmFQVb1/5K+dqg+43e5Vq6TcesBWVgGbOQtjt5EIAirxnbRWa0b4c4RaWdxrklwH52vHcLi1hAgIIrPjglIC+EIQuC2sT5FVFQjYem0FvsanZqrMWeCvJSHMiiH79wqiy22WA71FswhJFweyinQw04KykEBlKMTwlJPk+QsTe4tI16WnTzgMFqEpfzKIrBAkAkiF6UHU+XhRoIZt5MRfbW+pd7lDN8grLfdnSJNzRmRc25nrjtt60N2EDcyayQsgwWWD/k1dwZ7z7DI/GdgI6rVPNYGG2yQPQzkUVtZklFtq0JS3Lz6GZe4tMiw+yxTsNha5KbfcfQmAkFYNbaLTkQ5CynWYUWg2WXCgl+jTsqzdPRWG6hSBnay4M4w4SxoQPSbwAlBGIgQIZmTYT2UAxHp8NwqlDM3mPyRU+PBzWghr4l78xfuY4mZQ0Awwq/lrT7lEK4vck0UVrGYyn+NZ8rHAlDkinitK7K4VvoUEMIS1ciSatzpQoCEgA9pVA/140ZFwp6FZZVgEKEysipt0QNHz6iDUHC7kIg+tLBYCLR7RQkKUlFOi6qr6VXz9t1/7ik7cVTLZ96E8uZiVS75lkP+tqHinlUGCrbV4TnKmxXOKqwuqi7PIARWA0vEItlqG/mu3sqibUs7wUYEI5lqttMFF7MFvNVyy096FiyTJ7tnlLqpu2AMgSrKyd1KzsmpQQH5N2ASiOJaOaSnzNpBYAXS8px2NSCTrrlEgy79p0QLaivlRz6sJu5EaWkT7m3BSMLzuSHlp2/oIz7mb+EQR28iEIRVY7vo8JQDq4bSpzQEQujE3FE6PGUq/JYiaKYgXdNpEQeFwJVFoSIqVg63n7kqLj/Kv/HgStliiy3yolOkSIE1HsqpE3M/UkSUuHLKSzSirZUoc0qhHJSEcGJEp46DHdJHikbaosJYc+rAjWTPOsqJYvG7+j4sFqp6IqRq3vKSJiVJOXrWva6Vg7JTRlsGwb86Ke8/o3B1WmONNXK7UGYsWcqfghsq6EK7IBv1YbFVy8ftqU2Rr3JVD88ZrLAc7NyBcFodpV24bDfccMO8o0PjvfBjpVDQZUePco+81FtZdtpppwGCUSZRgNxx2q+Eu5MBLmykzYXWeEhPhCNZRhoFc+X0HRmQNTJDdsi7cpNxsmUghAjLUZ4zgBP4Q+bIBWxY+fLzMejj+iYL2khbuQ/p8yzoA/D3KbuzcKErA1lDauRE3iyuqpyUssS5NxAIwqq5HXQOxEQB2ufPOhYkQklQnFxPlCcXR7OO5JpOa6RNWVC+yK0agGES2adROao6JUQpykNEoLSaHfJRHqRn7kA55SWqyvNIqfosNxp3Gjda9XqztF0rOCi3eQ5kw/UmXR+kRZFz95RDuu5hETXLA2aeUXfKqoqf+5XNs+pdJRT3+Q1T7ivtoq7O2gapw6KaXilTOftPGypfI7nJ1/Vmbeo5JGLex6dKpCXt6lk9uLekV8Wm3AM7yl0ZihVZ/pOXesDIPQUDaWpn17Vjwc5ZXjCj2BsP6cGMLBXMq/eQP1Y+mbHDB+uJ9ey69OQHm+qhLOpALsgc2XafZ+Tno1zuke/1118/0AesryptW+4teHCfa1OyZusm8uU/98XRuwgEYfVu20TJAoFAIBAIBCoIBGFVwIivgUAgEAgEAr2LQBBW77ZNlCwQCAQCgUCggkAQVgWM+BoIBAKBQCDQuwgEYfVu20TJAoFAIBAIBCoIBGFVwIivgUAgEAgEAr2LQBBW77ZNlCwQCAQCgUCggkAQVgWM+BoIBAKBQCDQuwgEYfVu20TJAoFAIBAIBCoIBGFVwIivgUAgEAgEAr2LwP8DIFBLWCUQKz4AAAAASUVORK5CYII=[/img][br][br][br]Which number of minutes—9 or 4.2—is a typical amount of time for the ten sixth-grade students to travel to school? Explain your reasoning.
Based on the mean and MAD, Jada believes that travel times between 5 and 13 minutes are common for this group. Do you agree? Explain your reasoning.
A different group of ten sixth-grade students also recorded their travel times to school. Their mean travel time was also 9 minutes, but the MAD was about 7 minutes. What could the dot plot of this second data set be? Describe or draw how it might look.
In an archery competition, scores for each round are calculated by averaging the distance of 3 arrows from the center of the target.
An archer has a mean distance of 1.6 inches and a MAD distance of 1.3 inches in the first round. In the second round, the archer's arrows are farther from the center but are more consistent. What values for the mean and MAD would fit this description for the second round? Explain your reasoning.