Identify Clusters, Gaps, And Outliers Problems

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#1 of 7: Medium

Identify clusters, gaps, and outliers

<p>Jason loves water parks and made a histogram to show the heights, to the nearest foot, 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": 149, "interval": 10, "max_frequency": 10, "gutter": 10, "bar_size": 50, "discrete": true, "title": "Tallest Water Slides", "x_label": " Height (feet)", "y_label": "Number of Slides", "bar_items": [ { "from": 90, "to": 99, "frequency": 8 }, { "from": 100, "to": 109, "frequency": 9 }, { "from": 110, "to": 119, "frequency": 0 }, { "from": 140, "to": 149, "frequency": 1}, {"from": 130, "to": 139, "frequency": 4,"highlight": false } ] }'></Histogram><selectivedisplay> <p>Yes or No:</p><ul><li>There is a gap from `110` to `129` feet</li><li>There is a cluster from `90` to `109` 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> <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 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><p>Yes or No:</p><ul><li>There is an outlier </li><li>There is a gap from `65` to `68` strokes </li><li>There is a cluster from `63` to `65` strokes </li></ul></selectivedisplay>

#4 of 7: Medium

Identify clusters, gaps, and outliers

<p>While traveling in different parts of the world, Abbey 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><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><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> <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, to the nearest inch, 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": 59, "interval": 5, "max_frequency": 10, "gutter": 10, "bar_size": 30, "discrete": true, "title": " Growing Corn", "x_label": " Height (inches)", "y_label": " Number of Farmers", "bar_items": [ { "from": 20, "to": 24, "frequency": 2 } , { "from": 35, "to":39, "frequency": 3 }, { "from":40, "to":44, "frequency": 4 }, { "from": 45, "to": 49 ,"frequency": 6 }, { "from":50, "to": 54, "frequency":5}, {"from": 55, "to": 59, "frequency":9,"highlight": false } ] }'></Histogram><selectivedisplay> <p>Yes or No:</p><ul><li>There is a gap from `25` to `34` inches</li><li>There is a cluster from `35` to `59` 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 areas where data is missing, and outliers or data points that are significantly different from the rest of the data. 

 

By practicing these types of problems, students can strengthen their ability to analyze and interpret data, and develop a deeper understanding of statistical concepts. 

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 areas where data is missing, and outliers or data points that are significantly different from the rest of the data. 

 

By practicing these types of problems, students can strengthen their ability to analyze and interpret data, and develop a deeper understanding of statistical concepts. 

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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Grade 6
Statistics
6.SP.A.2

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What teachers are saying about BytelearnWhat teachers are saying

stephan.png
Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
jennifer.png
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.png
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”