Cumulative Frequency Tables, Curves And Box Plots
Overview
When data is grouped, a cumulative frequency table keeps a running total as you move through the groups. Plotted as a curve, it lets you read off the median and quartiles, and a box plot then summarizes the whole spread at a glance.
In this lesson you will build cumulative frequency tables, draw and read cumulative frequency curves to find the median and quartiles, and use those values to draw and interpret a box plot.
Objectives
- Draw and interpret cumulative frequency tables, curves and box plots, and find the median, quartiles, percentiles and interquartile range.
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Lesson Evaluation
Congratulations on completing the lesson on Cumulative Frequency Tables, Curves And Box Plots. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.
You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.
Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.
- Cumulative frequency is: A. the most common value B. a running total of frequencies C. the largest frequency D. the range Answer: B
- For n values, the median is read at: A. n/4 B. n/2 C. 3n/4 D. n Answer: B
- The lower quartile Q1 is read at: A. n/4 B. n/2 C. 3n/4 D. n Answer: A
- The interquartile range is: A. max - min B. Q3 - Q1 C. Q3 + Q1 D. the median Answer: B
- A box plot displays how many key values? A. three B. four C. five D. six Answer: C
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Recommended Books
Further learning from open sources
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Textbook section
Box Plots
Box plots (also called box-and-whisker plots or box-whisker plots ) give a good graphical image of the concentration of the data. They also show how far the extreme values are from most of the data. A box plot is constructed from five values: the minimum value, the first quartile, the median, the th
"Introductory Statistics: Box Plots" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/introductory-statistics/pages/2-4-box-plots. Access for free at https://openstax.org/books/introductory-statistics/pages/1-introduction
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Textbook section
Measures of the Location of the Data
The common measures of location are quartiles and percentiles Quartiles are special percentiles. The first quartile, Q 1 , is the same as the 25 th percentile, and the third quartile, Q 3 , is the same as the 75 th percentile. The median, M , is called both the second quartile and the 50 th percenti
"Introductory Statistics: Measures of the Location of the Data" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/introductory-statistics/pages/2-3-measures-of-the-location-of-the-data. Access for free at https://openstax.org/books/introductory-statistics/pages/1-introduction
Published by other organisations under open licences, credited as they ask. Links open their websites.
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