# Questions tagged [statistics]

For questions about the practice or science of collecting and analysing numerical data in large quantities, for instance for the purpose of inferring proportions in a whole from those in a representative sample.

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### Impressive common misleading interpretations in statistics to make students aware of

Statistics are used everywhere; politicians, companies, etc. argue with the help of statistics. Since calculations are needed for the interpretation of statistics, such things should be taught in ...
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### Open-Source Math Textbooks

It seems to me that an open-source model could work quite well for textbooks, with issues being raised by the users of the book and different forks of the project being created for different ...
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### Any tips in explaining the central limit theorem in statistics?

Many of my students don't have a mathematical background, and are not comfortable with concepts such as limits, random variables and distributions. Is there any intuitive way of explaining why the ...
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In short, my question is: What percentage of American adults know what a prime number is? Since this question is very specific, and my interests are a bit broader, I'd also be happy with: Is ...
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### What is the point of teaching variance?

I am a teaching assistant for a sophomore engineering laboratory. We use standard deviation a lot during the semester. It is an incredibly useful concept that can be used in a lot of engineering ...
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### Probability Misconception: Two Bags with Black and White Marbles

I asked this question in a class of 13-year-old students: Bag 1 contains 2 black marbles and 1 white one. Bag 2 contains 20 black marbles and 10 white ones. Which bag is more likely to yield a black ...
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### Emphasizing Statistics instead of Calculus

In a 3 minute talk on ted.com, mathematician Arthur Benjamin made the argument that it makes sense to give emphasis on statistics instead of on calculus in school, after students have been given a ...
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### Where can I find realistic data for college-level elementary statistics problems?

I'm creating a large number of practice problems for my statistics students. These problems are for an elementary stats course where students: measure central tendency measure dispersion use linear ...
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### What are good survey questions for statistics students to ask each other in class?

I think this is a nontrivial question, because to avoid embarrassment or singling-out, I cannot ask students about: their age anything about their body (height, weight) anything involving money ...
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### Why is rounding half away from zero the only method taught?

Rounding to the nearest even digit is very practical in a lot of areas (e.g. statistics, accounting), but is never taught anywhere from elementary school to college. Even in R, the go-to statistics ...
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### How do I sketch a good gaussian curve freehanded, or by using only common sketching tools?

I'm a lousy artist. If I want my Gaussian curves to be accurately drawn when I use a whiteboard, or work with pen & paper, what are my options? Is there a way to use a straight edge, or compass, ...
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### Looking for a creative way to teach ANOVA

Background I'm currently teaching a Statistics course (for the first time), one in which I been trying to teach with a hands-on approach. I have had my students (all traditional college age, non-STEM ...
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### Are these assumptions in statistics correct or beneficial?

(I hope the question in in scope, please see my question on Meta about that) My 15 yo son (2nde in France, this is the first year of the equivalent of a High School) is going through basic statistics....
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### Teaching new stats students confidence intervals, hypothesis testing, and other general techniques for inference

I have instructed for community colleges and adjuncted for major universities for just over fifteen years now. In all my time doing this job, I've found that the worst manifestation of so-called "...
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### Moving from discrete probability distributions to continuous ones

I'm teaching an introductory statistics class at a community college, and we've just finished a unit on discrete probability. At the moment, the students' conception of the probability of an event A ...
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### How to explain that the sums of numerators over sums of denominators isn't the same as the mean of ratios?

I am a teaching assistant for an intro programming course. One assignment asked for the averages of a certain ratio, but most students, rather than returning \frac{\text{sum of all ratios}}{\text{...
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### Favorite datasets to use when teaching statistics

There are so many datasets available that it seems difficult to sort through them all and identify the best ones to use when teaching an introduction to statistics class. What are your favorite ...
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### Passage from Descriptive to Inferential Statistics - analogies with other Math-fields?

I am a guest here, having responded to a general invitation extended to the Cross Validated community, to possibly contribute answers whenever some question related to Statistics comes up in this site....
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### What is a logical way to introduce probability and statistics to students that don't know fractions or percentages yet?

Students are exposed to sets very early in their education, so my first inclination is that this would be the best method to give children in the early primary grades an introduction to probability ...
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### Statistics, for the mathematically rigorous

I don't know where I can find a rigorous statistics course or textbook. The closest thing I can think of is measure-theoretic probability theory, but I wouldn't really call that "statistics"....
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### Teaching the difference between standard deviation and interquartile range

Are there any good examples for high school studends where: Interquartile range is "better" to describe "spread" in an (empirical) statistical distribution of data standard deviation is a "better" ...
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### Hypothesis Tests in Students' Lives

Consider, in a basic statistics class, the difference between the following two examples: A six-sided die is rolled twenty times. It comes up a "two" eight times, which seems unfair. The owner of ...
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### Why teach absolute mean deviation?

I was helping my niece (7th grade) with homework and one of the topics was the absolute mean deviation. It's basically the same thing as standard deviation except instead of squaring the difference ...
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### Statistics Class Held in a Computer Lab

I'm looking into holding my basic statistics class in a computer lab in the future to avoid a lot of the by-hand computing that happens in statistics classes. For example, very few students get ...
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### Who put the skew in my Skittles? Have there been studies as to which candy has a fairly uniform distribution of flavors?

Since the beginning of time, candy has been used to illustrate the principles of distributions in early lessons on statistics. A recent informal study seems to indicate that the flavors of Skittles ...
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### Self-study Linear Algebra textbook for Machine Learning and Statistics

I am looking for a good linear/matrix algebra textbook, suitable for self-study, that covers topics relevant to statistics and machine learning. I have access to ...
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### How to teach steady state in queueing (if at all?)

I am teaching an undergraduate course in Operations Research to business students (they are not: maths students). I want to check, if and how teaching the steady state makes any sense. As in the ...
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### In introductory statistics hypothesis testing, why not always use P-values?

A test statistic is a measure of significance of a data set with respect to a claim. My statistics textbook is insistent that the students should be able to interpret the test statistic in two ...
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### Good Source for German Tank Problem

I would like to teach the German Tank Problem to bright students with little prerequisites. They are 16 year old high school students with a lot of maths competition experience, but no prior knowledge ...
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### Published papers for Intro Stat students to read

I am looking for studies and experiments in the literature that I can share with undergraduate students in an intro statistics course. I do not expect students to understand everything, and I plan to ...
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### Does it make sense to speak of whether the standard deviation is a "good measure" of some particular distribution?

I came across this question (picture below, the question where the drop-down bar is highlighted) on edulastic.com. The answer, apparently, was that "The standard deviation is a good measure of the ...
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### Standardized Exam for Statistics?

I have been trying to find a standardized exam for statistics, but have not had any luck. For example, there is an AP statistics exam for high schoolers to take, but I am looking for something that ...
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### Statistics for Primary School: Informal Inferential Reasoning

Is there anyone that is experienced in teaching Informal Inferential Reasoning in primary school? Mind to share your experience?
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### Hypothesis testing for children (grade 1-4)

What do you think, could hypothesis testing be taught, in some way (probably informal) to that age group of kindergarten to 4th grade? Ideas, some resources, published papers, and so on? This would ...
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### Is there any university program that offers an introductory statistical methods class that is bayesian -instead- of a frequentist one?

Is there any university program that offers an introductory statistical methods class that is bayesian -instead- of a frequentist one? Surely every intro to stats class in every program in the world, ...
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### suggestion for probability and stats text to suit my learning style.

I am of a mature aged learner and want to learn probability and statistics at a senior high school (k12) and undergraduate level for my own general understanding. I have discovered in the past that I ...
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