Identify Clusters, Gaps, And Outliers Problems

7 questions

#1 of 7:Medium

Identify clusters, gaps, and outliers

<p>Jason loves water parks and made a histogram to show the heights of some of the world’s tallest water slides that he hopes to try someday.</p><p>He wants to describe the distribution in terms of its clusters and gaps.</p><Histogram data-props='{ "min_scale_value": 90, "max_scale_value": 150, "interval": 10, "max_frequency": 10, "gutter": 10, "bar_size": 50, "continuous": true, "title": "Tallest Water Slides", "x_label": " Height (feet)", "y_label": "Number of Slides", "bar_items": [ { "from": 90, "to": 100, "frequency": 8 }, { "from": 100, "to": 110, "frequency": 9 }, { "from": 110, "to": 120, "frequency": 0 }, { "from": 120, "to": 130, "frequency": 0}, {"from": 130, "to": 140, "frequency": 4,"highlight": false } ,{"from": 140, "to": 150, "frequency": 1,"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 `110` to `130` feet</li><li>There is a cluster from `90` to `110` feet</li></ul></selectivedisplay>

#2 of 7:Medium

Identify clusters, gaps, and outliers

<p>A car magazine compares the fuel efficiency, in miles per gallon for various new cars.</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": 44, "interval": 5, "max_frequency": 10, "gutter": 10, "bar_size": 30, "discrete": true, "title": "Fuel Efficiency of New Cars", "x_label": " Miles Per Gallon", "y_label": " Number of Cars", "bar_items": [ { "from": 10, "to": 14, "frequency": 2 } , { "from": 25, "to":29, "frequency": 3 }, { "from": 30, "to": 34, "frequency": 6 }, { "from": 35, "to": 39, "frequency": 5 }, { "from": 40, "to": 44, "frequency": 1}, {"from": 20, "to": 23, "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 `15` to `24` miles per gallon</li><li>There is a cluster from `10` to `14` miles per gallon</li></ul></selectivedisplay>

#3 of 7:Medium

Identify clusters, gaps, and outliers

<p>Members of the golf team recorded their scores on a `9`-hole course.</p><p>They want to describe the distribution in terms of its clusters, gaps, and outliers.</p><DotPlot data-props='{ "title":"","xlabel": "Number of Golf Strokes", "ylabel": "", "minScaleValue": 60, "maxScaleValue": 70, "interval": 1, "hashMarksBetweenInterval": 1, "plotItems": [ { "value": 60, "freq": 1 }, { "value": 63, "freq": 2 }, { "value": 64, "freq": 2 }, { "value": 65, "freq": 3 }, { "value": 68, "freq": 2 }, { "value": 69, "freq": 3 }, { "value": 70, "freq":2 }]}'></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 `66` to `67` golf strokes </li><li>There is a cluster from `63` to `65` golf strokes </li></ul></selectivedisplay>

#4 of 7:Medium

Identify clusters, gaps, and outliers

<p>While traveling in different parts of the world, Abby asks people how many languages they speak.</p><p>She wants to describe the distribution in terms of its clusters, gaps, and outliers.</p><DotPlot data-props='{ "title":"","xlabel": "Number of Languages People Speak", "ylabel": "", "minScaleValue": 1, "maxScaleValue": 8, "interval": 1, "hashMarksBetweenInterval": 1, "plotItems": [ { "value": 1, "freq": 7 }, { "value": 2, "freq": 10 }, { "value": 3, "freq": 6 }, { "value":4, "freq": 2 }, { "value": 8, "freq": 1 }, { "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 `1` to `4` languages </li><li>There is a cluster from `4` to `8` languages</li></ul></selectivedisplay>

#5 of 7:Medium

Identify clusters, gaps, and outliers

<p>A fast-food restaurant records the number of cars in the drive-thru at various times throughout the day.</p><p>They want to describe the distribution in terms of its clusters, gaps, and outliers.</p><DotPlot data-props='{ "title":"","xlabel": "Number of Cars in the Drive-Thru", "ylabel": "", "minScaleValue": 1, "maxScaleValue": 10, "interval": 1, "hashMarksBetweenInterval": 1, "plotItems": [ { "value": 1, "freq": 2 }, { "value": 2, "freq": 5 }, { "value": 3, "freq": 4 }, { "value":4, "freq": 2 }, { "value": 8, "freq": 2 }, { "value": 9, "freq": 4 }, { "value":10, "freq":3 }]}'></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 `7` cars </li><li>There is a cluster from `8` to `10` cars</li></ul></selectivedisplay>

#6 of 7:Medium

Identify clusters, gaps, and outliers

<p>A phone store surveys their customers about the number of apps they have on their phones. </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": 49, "interval": 5, "max_frequency": 10, "gutter": 10, "bar_size": 30, "discrete": true, "title": " How Many Apps?", "x_label": " Number of Apps", "y_label": "Number of Customers", "bar_items": [ { "from": 5, "to": 9, "frequency": 3 } , { "from": 10, "to":14, "frequency":5 }, { "from":15, "to":19, "frequency": 8 }, { "from": 20, "to": 24, "frequency": 4 }, { "from": 40, "to": 44, "frequency":6}, {"from": 45, "to": 49, "frequency":7,"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 `25` to `39` apps</li><li>There is a cluster from `0` to `4` apps</li></ul></selectivedisplay>

#7 of 7:Medium

Identify clusters, gaps, and outliers

<p>Farmers throughout the country were surveyed about the height of their corn crop on a certain day. </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": 60, "interval": 5, "max_frequency": 10, "gutter": 10, "bar_size": 30, "continuous": true, "title": " Growing Corn", "x_label": " Height (inches)", "y_label": " Number of Farmers", "bar_items": [ { "from": 20, "to": 25, "frequency": 2 } , { "from": 25, "to": 30, "frequency": 0 },{ "from": 30, "to": 35, "frequency": 0 },{ "from": 35, "to":40, "frequency": 3 }, { "from":40, "to":45, "frequency": 4 }, { "from": 45, "to": 50 ,"frequency": 6 }, { "from":50, "to": 55, "frequency":5}, {"from": 55, "to": 60, "frequency":9,"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 `25` to `35` inches</li><li>There is a cluster from `35` to `60` inches</li></ul></selectivedisplay>

Identify clusters, gaps, and outliers practice problems can be very helpful for grade 6 math teachers looking to reinforce students understanding of data analysis concepts. These problems typically provide students with a set of data points and prompt them to identify any clusters or groups of data points, gaps or ...

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What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”