Grade 6 math teachers can assess their students understanding of statistical concepts related to quartiles through an “interpret quartiles quiz” which typically includes a series of questions that require s...

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8 questions

Interpret quartiles

<p>The following box plot shows the weights of the watermelons at a summer fair.</p><boxplot data-props='{"plots":[{"min":{"value":13},"max":{"value":22},"q1":{"value":16,"highlight":false,"showPlot":false},"q2":{"value":18},"q3":{"value":19,"highlight":false,"showPlot":false}}],"minScaleValue":12,"maxScaleValue":22,"interval":1,"hashMarksBetweenInterval":0,"title":"","xlabel":"Watermelon Weight (pounds)"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About `50`% of the watermelons weighed less than how many pounds?</p><div> <ul> <li> `13`</li><li> `16`</li><li> `18`</li><li> `19`</li><li>`22`</li></ul></div></selectivedisplay>

Interpret quartiles

<p>The following box plot shows the length of model bridges built by groups of students in science class.</p><boxplot data-props='{"plots":[{"min":{"value":19},"max":{"value":34},"q1":{"value":22,"highlight":false,"showPlot":false},"q2":{"value":27},"q3":{"value":32,"highlight":false,"showPlot":false}}],"minScaleValue":16,"maxScaleValue":36,"interval":2,"hashMarksBetweenInterval":0,"title":"","xlabel":"Bridge Length per Group (inches)"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About what percent of the groups built a bridge that was longer than `19` inches?</p><div> <ul> <li> `0`%</li><li> `25`%</li><li> `50`%</li><li> `75`%</li><li>`100`%</li></ul></div></selectivedisplay>

Interpret quartiles

<p>The following box plot shows the number of origami cranes folded by various students during art class.</p><boxplot data-props='{"plots":[{"min":{"value":1},"max":{"value":9},"q1":{"value":4,"highlight":false,"showPlot":false},"q2":{"value":7},"q3":{"value":8,"highlight":false,"showPlot":false}}],"minScaleValue":1,"maxScaleValue":10,"interval":2,"hashMarksBetweenInterval":1,"title":"","xlabel":"Number of Cranes Folded per Student"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About what percent of students folded more than `8` cranes?</p><div> <ul> <li> `0`%</li><li> `25`%</li><li> `50`%</li><li> `75`%</li><li>`100`%</li></ul></div></selectivedisplay>

Interpret quartiles

<p>The following box plot shows the number of students who attended the robotics club meetings over several weeks.</p><boxplot data-props='{"plots":[{"min":{"value":6},"max":{"value":25},"q1":{"value":10,"highlight":false,"showPlot":false},"q2":{"value":18},"q3":{"value":23,"highlight":false,"showPlot":false}}],"minScaleValue":5,"maxScaleValue":25,"interval":2,"hashMarksBetweenInterval":0,"title":"","xlabel":"Number of Students per Meeting (dollars)"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About `25`% of meetings had more than how many students in attendance?</p><div> <ul> <li> `6`</li><li> `10`</li><li> `18`</li><li> `23`</li><li>`25`</li></ul></div></selectivedisplay>

Interpret quartiles

<p>The following box plot shows the amount of money that different customers spent on snacks at a movie theater.</p><boxplot data-props='{"plots":[{"min":{"value":5},"max":{"value":20},"q1":{"value":9,"highlight":false,"showPlot":false},"q2":{"value":14},"q3":{"value":16,"highlight":false,"showPlot":false}}],"minScaleValue":4,"maxScaleValue":24,"interval":2,"hashMarksBetweenInterval":0,"title":"","xlabel":"Money Spent on Snacks per Customer (dollars)"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About `25`% of customers spent more than how many dollars on movie snacks?</p><div> <ul> <li> `5`</li><li> `9`</li><li> `14`</li><li> `16`</li><li>`20`</li></ul></div></selectivedisplay>

Interpret quartiles

<p>The box plot shows the number of sticker sheets Ms. Almador bought during different purchases throughout the year.</p><boxplot data-props='{"plots":[{"min":{"value":5},"max":{"value":45},"q1":{"value":10,"highlight":false,"showPlot":false},"q2":{"value":15},"q3":{"value":30,"highlight":false,"showPlot":false}}],"minScaleValue":0,"maxScaleValue":50,"interval":5,"hashMarksBetweenInterval":0,"title":"","xlabel":"Number of Sheets per Purchase"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About what percent of the purchases had between `10` and `45` sticker sheets?</p><div> <ul> <li> `0`%</li><li> `25`%</li><li> `50`%</li><li> `75`%</li><li>`100`%</li></ul></div></selectivedisplay>

Interpret quartiles

<p>The box plot shows the number of skaters during different ice skating sessions.</p><boxplot data-props='{"plots":[{"min":{"value":4},"max":{"value":18},"q1":{"value":8,"highlight":false,"showPlot":false},"q2":{"value":11},"q3":{"value":15,"highlight":false,"showPlot":false}}],"minScaleValue":0,"maxScaleValue":20,"interval":2,"hashMarksBetweenInterval":0,"title":"","xlabel":"Number of Skaters per Session"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About what percent of the sessions had between `8` and `15` skaters?</p><div> <ul> <li> `0`%</li><li> `25`%</li><li> `50`%</li><li> `75`%</li><li>`100`%</li></ul></div></selectivedisplay>

Interpret quartiles

<p>A computer gaming company recorded the number of years that various employees had worked for the company.</p><boxplot data-props='{"plots":[{"min":{"value":1},"max":{"value":9},"q1":{"value":3,"highlight":false,"showPlot":false},"q2":{"value":4},"q3":{"value":7,"highlight":false,"showPlot":false}}],"minScaleValue":1,"maxScaleValue":10,"interval":2,"hashMarksBetweenInterval":1,"title":"","xlabel":"Number of Years Worked per Employee"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About `75`% of the employees have worked for the company for fewer than how many years?</p><div> <ul> <li> `1`</li><li> `3`</li><li> `4`</li><li> `7`</li><li>`9`</li></ul></div></selectivedisplay>

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Statistics

6.SP.B.5.C