Mean, Mode, Median And Range From Discrete Data
Overview
A single number can summarize a whole data set. The mean, mode and median each pick out a typical value in a different way, while the range measures how spread out the data is. Together they are the everyday language of statistics.
In this lesson you will calculate the mean, mode, median and range from discrete data, and understand what each one tells you and when each is the most useful.
Objectives
- Calculate the mean, mode, median and range from discrete data, and (Extended) the modal class and estimated mean for grouped data.
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Lesson Evaluation
Congratulations on completing the lesson on Mean, Mode, Median And Range From Discrete Data. 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.
- The mean of 3, 5, 5, 7, 10 is: A. 5 B. 6 C. 7 D. 30 Answer: B
- The mode of 3, 5, 5, 7, 10 is: A. 3 B. 5 C. 7 D. 10 Answer: B
- The median of 3, 5, 5, 7, 10 is: A. 5 B. 6 C. 7 D. 10 Answer: A
- The range of 3, 5, 5, 7, 10 is: A. 5 B. 6 C. 7 D. 10 Answer: C
- The median of 4, 6, 8, 10 is: A. 6 B. 7 C. 8 D. 9 Answer: B
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Recommended Books
Further learning from open sources
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Textbook section
Averages and Probability
Calculate the mean of a set of numbers
"Prealgebra: Averages and Probability" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/prealgebra/pages/5-5-averages-and-probability. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction
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Textbook section
Measures of the Center of the Data
The "center" of a data set is also a way of describing location. The two most widely used measures of the "center" of the data are the mean (average) and the median . To calculate the mean weight of 50 people, add the 50 weights together and divide by 50. To find the median weight of the 50 people,
"Introductory Statistics: Measures of the Center 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/2-5-measures-of-the-center-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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