For grade 6 math teachers, “identify clusters, gaps, and outliers” quiz is an effective way to assess students for understanding of statistical concepts related to data analysis. By assessing stud...

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7 questions

Identify clusters, gaps, and outliers

<p>Visitors at an amusement park were asked about the total number of amusement parks they had visited.</p><p>The park wants to describe the distribution in terms of its clusters, gaps, and outliers.</p><DotPlot data-props='{ "title":"","xlabel": "Number of Amusement Parks Visited", "ylabel": "", "minScaleValue": 1, "maxScaleValue": 10, "interval": 1, "hashMarksBetweenInterval": 1, "plotItems": [ { "value": 1, "freq":1 }, { "value": 4, "freq": 3 }, { "value": 5, "freq": 7 }, { "value":6, "freq": 5 }, { "value": 7, "freq": 2 }, { "value": 9, "freq": 0 }, { "value":10, "freq":0 }]}'></Dotplot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>Yes or No:</p><ul><li>There is an outlier </li><li>There is a gap from `2` to `3` parks </li><li>There is a cluster from `4` to `7` parks</li></ul></selectivedisplay>

Identify clusters, gaps, and outliers

<p>An organization that studies vehicle safety recorded the number of seats in various vehicles made by different manufacturers.</p> <p>They want to describe the distribution in terms of its clusters, gaps, and outliers.</p><DotPlot data-props='{ "title":"","xlabel": "Number of seats", "ylabel": "", "minScaleValue": 1, "maxScaleValue": 10, "interval": 1, "hashMarksBetweenInterval": 0, "plotItems": [ { "value": 2, "freq": 4 }, { "value": 3, "freq": 5 }, { "value": 4, "freq": 8 }, { "value": 5, "freq": 10 }, { "value": 6, "freq": 8 }, { "value": 9, "freq": 1 }, { "value": 10, "freq": 0 }]}'></Dotplot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>Yes or No:</p><ul><li>There is an outlier</li><li>There is a gap from `7` to `8` seats </li><li>There is a cluster from `2` to `6` seats </li></ul></selectivedisplay>

Identify clusters, gaps, and outliers

<p>Neighborhood friends set up a lemonade stand during hot weekends over the summer. They record the amount of earnings for each day.</p><p>They want to describe the distribution in terms of its clusters and gaps.</p><Histogram data-props='{ "min_scale_value": 10, "max_scale_value": 45, "interval": 5, "max_frequency": 10, "gutter": 10, "bar_size": 30, "continuous": true, "title": " Lemonade Stand", "x_label": " Earnings (dollars)", "y_label": "Number of Days", "bar_items": [ { "from": 10, "to": 15, "frequency": 0 } , { "from": 15, "to": 20, "frequency": 0 }, { "from": 20, "to":25, "frequency": 4 }, { "from":25, "to":30, "frequency": 3 }, { "from": 30, "to": 35, "frequency": 6 }, { "from": 35, "to": 40, "frequency":5}, {"from": 40, "to": 45, "frequency":0,"highlight": false } ] }'></Histogram><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>Yes or No:</p><ul><li>There is a gap from `10` to `20` dollars</li><li>There is a cluster from `20` to `40` dollars</li></ul></selectivedisplay>

Identify clusters, gaps, and outliers

<p>For a convention on green spaces, a histogram is created to show the number of city parks in various cities around the country. </p><p>They want to describe the distribution in terms of its clusters and gaps.</p><Histogram data-props='{ "min_scale_value": 0, "max_scale_value": 399, "interval": 50, "max_frequency": 10, "gutter": 10, "bar_size": 50, "discrete": true, "title": "City Parks", "x_label": " Number of Parks", "y_label": " Number of Cities", "bar_items": [ { "from": 0, "to": 49, "frequency": 4 } , { "from": 150, "to":199, "frequency": 6 }, { "from":200, "to":249, "frequency": 5 }, { "from": 250, "to": 299,"frequency": 3 }, { "from":300, "to": 349, "frequency":2}, {"from": 350, "to": 399, "frequency":2,"highlight": false } ] }'></Histogram><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>Yes or No:</p><ul><li>There is a gap from `50` to `149` </li><li>There is a cluster from `0` to `49` </li></ul></selectivedisplay>

Identify clusters, gaps, and outliers

<p>Amanda recorded the number of letters she played each round in her Scrabble game with her grandmother.</p> <p>She wants to describe the distribution in terms of its clusters, gaps, and outliers.</p> <DotPlot data-props='{ "title":"","xlabel": "Number of Letters", "ylabel": "", "minScaleValue": 2, "maxScaleValue": 10, "interval": 1, "hashMarksBetweenInterval": 0, "plotItems": [ { "value": 2, "freq": 2 }, { "value": 3, "freq": 6 }, { "value": 4, "freq": 3 }, { "value": 5, "freq": 3 }, { "value": 6, "freq": 2 }, { "value": 10, "freq": 1 }] }'></Dotplot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'> <p>Yes or No:</p><ul> <li>There is an outlier</li> <li>There is a gap from `5` to `10` letters </li> <li>There is a cluster from `7` to `10` letters </li> </ul></selectivedisplay>

Identify clusters, gaps, and outliers

<p>Teachers at a middle school record the percent of their students who have returned their permission slip for the end of the year field trip to the beach.</p><p>They want to describe the distribution in terms of its clusters and gaps.</p><Histogram data-props='{ "min_scale_value": 20, "max_scale_value": 100, "interval": 10, "max_frequency": 10, "gutter": 10, "bar_size": 30, "continuous": true, "title": "Permission Slips", "x_label": " Percent", "y_label": " Number of Teachers", "bar_items": [ { "from": 20, "to": 30, "frequency": 3 } , { "from": 30, "to":40, "frequency": 4 }, { "from": 40, "to":50, "frequency": 0 },{ "from": 50, "to":60, "frequency": 0 },{ "from": 60, "to":70, "frequency": 0 },{ "from": 70, "to": 80, "frequency": 5 }, { "from": 80, "to": 90, "frequency": 10 }, { "from": 90, "to": 100, "frequency":0} ] }'></Histogram><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>Yes or No:</p><ul><li>There is a gap from `20` to `50`</li><li>There is a cluster from `70` to `90`</li></ul></selectivedisplay>

Identify clusters, gaps, and outliers

<p>The students in Ms. Appelbaum’s class are writing persuasive essays. She records the number of words the students have written after several class periods.</p><p>She wants to describe the distribution in terms of its clusters and gaps.</p><Histogram data-props='{ "min_scale_value": 51, "max_scale_value": 400, "interval": 50, "max_frequency": 10, "gutter": 10, "bar_size": 50, "discrete": true, "title": "Persuasive Essays", "x_label": " Number of Words", "y_label": " Number of Students", "bar_items": [ { "from": 51, "to": 100, "frequency": 1 } , { "from": 201, "to":250, "frequency": 8 }, { "from":251, "to":300, "frequency": 9 }, { "from": 301, "to": 350,"frequency": 6 }, { "from":351, "to": 400, "frequency":4}, {"from": 2, "to": 3, "frequency":0,"highlight": false } ] }'></Histogram><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>Yes or No:</p><ul><li>There is a gap from `101` to `200` words</li><li>There is a cluster from `51` to `150` words</li></ul></selectivedisplay>

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Statistics

6.SP.A.2