Interpret Quartiles Problems

8 questions

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#1 of 8: Mild

Interpret quartiles

<p>The following box plot shows the number of students who were absent from Mr. Samson’s classes on different days.</p><boxplot data-props='{"plots":[{"min":{"value":0},"max":{"value":9},"q1":{"value":5,"highlight":false,"showPlot":false},"q2":{"value":7},"q3":{"value":8,"highlight":false,"showPlot":false}}],"minScaleValue":0,"maxScaleValue":10,"interval":1,"hashMarksBetweenInterval":0,"title":"","xlabel":"Number of Students Absent per Day"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About `50`% of days had fewer than how many students absent?</p><div> <ul> <li> `0`</li><li> `5`</li><li> `7`</li><li> `8`</li><li>`9`</li></ul></div></selectivedisplay>

#2 of 8: Medium

Interpret quartiles

<p>The following box plot shows the total number of strike-outs per player during the last several games of the season.</p><boxplot data-props='{"plots":[{"min":{"value":1},"max":{"value":9},"q1":{"value":3,"highlight":false,"showPlot":false},"q2":{"value":4},"q3":{"value":8,"highlight":false,"showPlot":false}}],"minScaleValue":0,"maxScaleValue":10,"interval":1,"hashMarksBetweenInterval":0,"title":"","xlabel":"Number of Strikeouts per Player"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About what percent of the players struck out more than `8` times?</p><div> <ul> <li> `0`%</li><li> `25`%</li><li> `50`%</li><li> `75`%</li><li>`100`%</li></ul></div></selectivedisplay>

#3 of 8: Medium

Interpret quartiles

<p>The following box plot shows the number of shots out of `10` free throws that the players on the basketball team made.</p><boxplot data-props='{"plots":[{"min":{"value":4},"max":{"value":9},"q1":{"value":5,"highlight":false,"showPlot":false},"q2":{"value":6},"q3":{"value":8,"highlight":false,"showPlot":false}}],"minScaleValue":0,"maxScaleValue":10,"interval":2,"hashMarksBetweenInterval":1,"title":"","xlabel":"Number of Free Throws Made per Player"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About what percent of players made more that `5` shots?</p><div> <ul> <li> `0`%</li><li> `25`%</li><li> `50`%</li><li> `75`%</li><li>`100`%</li></ul></div></selectivedisplay>

#4 of 8: Medium

Interpret quartiles

<p>The following box plot shows the number of students who auditioned for the different roles in the school play.</p><boxplot data-props='{"plots":[{"min":{"value":1},"max":{"value":6},"q1":{"value":2,"highlight":false,"showPlot":false},"q2":{"value":4},"q3":{"value":5,"highlight":false,"showPlot":false}}],"minScaleValue":1,"maxScaleValue":10,"interval":2,"hashMarksBetweenInterval":1,"title":"","xlabel":"Number of Students Auditioning per Role"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About `25`% of the roles had more than how many students audition?</p><div> <ul> <li> `1`</li><li> `2`</li><li> `4`</li><li> `5`</li><li>`6`</li></ul></div></selectivedisplay>

#5 of 8: Medium

Interpret quartiles

<p>The following box plot shows the number of spelling words various students got correct on their weekly spelling test.</p><boxplot data-props='{"plots":[{"min":{"value":3},"max":{"value":10},"q1":{"value":6,"highlight":false,"showPlot":false},"q2":{"value":8},"q3":{"value":9,"highlight":false,"showPlot":false}}],"minScaleValue":0,"maxScaleValue":10,"interval":2,"hashMarksBetweenInterval":1,"title":"","xlabel":"Number of Words Spelled Correctly per Student"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About `25`% of the students spelled fewer than how many words correctly?</p><div> <ul> <li> `3`</li><li> `6`</li><li> `8`</li><li> `9`</li><li>`10`</li></ul></div></selectivedisplay>

#6 of 8: Spicy

Interpret quartiles

<p>The box plot shows the amount of time that different students spent on homework. </p><boxplot data-props='{"plots":[{"min":{"value":15},"max":{"value":55},"q1":{"value":20,"highlight":false,"showPlot":false},"q2":{"value":30},"q3":{"value":45,"highlight":false,"showPlot":false}}],"minScaleValue":10,"maxScaleValue":60,"interval":5,"hashMarksBetweenInterval":0,"title":"","xlabel":"Time Spent on Homework per Student (minutes)"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About what percent of students spent between `15` and `30` minutes on homework?</p><div> <ul> <li> `0`%</li><li> `25`%</li><li> `50`%</li><li> `75`%</li><li>`100`%</li></ul></div></selectivedisplay>

#7 of 8: Spicy

Interpret quartiles

<p>The box plot shows the number of sunny days during the month of November for different cities in California.</p><boxplot data-props='{"plots":[{"min":{"value":8},"max":{"value":26},"q1":{"value":14,"highlight":false,"showPlot":false},"q2":{"value":16},"q3":{"value":20,"highlight":false,"showPlot":false}}],"minScaleValue":8,"maxScaleValue":28,"interval":2,"hashMarksBetweenInterval":0,"title":"","xlabel":"Number of Sunny Days per City"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About what percent of the cities had between `14` and `26` sunny days?</p><div> <ul> <li> `0`%</li><li> `25`%</li><li> `50`%</li><li> `75`%</li><li>`100`%</li></ul></div></selectivedisplay>

#8 of 8: Spicy

Interpret quartiles

<p>The box plot shows the number of cookies sold on different days by Fiesta Bakery.</p><boxplot data-props='{"plots":[{"min":{"value":25},"max":{"value":65},"q1":{"value":40,"highlight":false,"showPlot":false},"q2":{"value":50},"q3":{"value":55,"highlight":false,"showPlot":false}}],"minScaleValue":20,"maxScaleValue":70,"interval":5,"hashMarksBetweenInterval":0,"title":"","xlabel":"Number of Cookies Sold per Day"}'/></BoxPlot><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><p>About `75`% of the days had sales of fewer than how many cookies?</p><div> <ul> <li> `25`</li><li> `40`</li><li> `50`</li><li> `55`</li><li>`65`</li></ul></div></selectivedisplay>

For grade 6 math teachers an “interpret quartiles practice problems” can be a good source for their students to understand the concept and can help boost their confidence. These problems typically provide students with a set of data points and to identify the quartiles and interpret their significance.

For example, a typical question might ask students to identify the median and the upper and lower quartiles of a set of test scores. From there, students might be asked to use this information to make comparisons between different groups of students, such as those who scored above or below the median.

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Grade 6

Statistics

6.SP.B.5.C