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Does it make sense to calculate the “average” of these things?

by | Nov 19, 2022 | Mathematics | 0 comments

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Read:
Chapter 2 of the textbook [Yakir, B. (2011). Introduction to statistical thinking (with R, without calculus). The Hebrew University of Jerusalem, Department of Statistics.]
R-Tutorial on Import and Save data (link: http://r-tutorial.nl/ch7.html)
MarinStatsLectures-R Programming & Statistics. (2019, August 6). Variables and types of variables | Statistics Tutorial | MarinStatsLectures [Video]. YouTube. https://youtu.be/ZxV-kf0yBss
MarinStatsLectures-R Programming & Statistics. (2013, August 8). Create and work with vectors and matrices in R | R Tutorial 1.4 | MarinStatslectures [Video]. YouTube. https://youtu.be/2TcPAZOyV0U
MarinStatsLectures-R Programming & Statistics. (2013, August 8). Importing, checking and working with data in R | R Tutorial 1.7 | MarinStatsLectures [Video]. YouTube. https://youtu.be/U4-RnTW5dfw
MarinStatsLectures-R Programming & Statistics. (2013, August 8). Working with variables and data in R | R Tutorial 1.8 | MarinStatslectures [Video]. YouTube. https://youtu.be/1BcGnHwUT6k
R-Beginner Tutorial. (2017, September 19). How to import data in R [Video]. YouTube. https://www.youtube.com/watch?v=nd-HnUYjW-I&ab_channel=R-BeginnerTutorial
For the DISCUSSION POST:
Factors are qualitative data that are associated with categorization or the description of an attribute. Factors are often (but not always) represented with words, like colors or names of things. On the other hand, numeric data are generated by numeric measurements. R can store values as factors or numbers, but sometimes you have a choice of how to represent values.
(1) I have two apples, one banana, one cherry. Does it make sense to calculate the “average” of these things? Would you code that as a factor or a numeric value in R?
(2) I have four quiz scores: 94, 93, 85, and 0. What is the mean (average) of my quiz scores? Would you code this as a factor or a numeric value in R?
(3) In another class, I received these grades on my quizzes: two As, one B, and one F. What is the mean (average) of my grades? Would you code that as a factor or a numeric value in R?
(4) How would you explain the difference in mean values obtained in #2 and #3 above?
***Note: Be sure to use in-text citation and provide references for your sources, including textbooks.

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