Identify Clusters, Gaps, And Outliers Problems

<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>

<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>

<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>

<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>

<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>

<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>

<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>