Stack Exchange Network

Stack Exchange network consists of 174 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.

Visit Stack Exchange

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.

5
votes
2answers
255 views

Trends in math education: Majors? Applied math? Statistics?

I would be quite interested in learning of trends (in the U.S. or internationally) of student interest at the undergraduate level in pure math vs. applied math, say, measured by majors at graduation. ...
-2
votes
1answer
70 views

May someone explains covariance, without it's formula? [closed]

I tried to understand covariance but in most of resources only there are it's relational formulas, that I couldn't understand really what is it? Is it possible explaining what is covariance and what ...
8
votes
5answers
182 views

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 ...
19
votes
8answers
3k views

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 ...
4
votes
1answer
99 views

What are some very concrete examples of statistical models to present to students?

In order to teach students what "statistical modeling" is, it would be helpful to show them some very concrete, specific (and maybe classic) examples of statistical models. Something you can point to ...
2
votes
1answer
128 views

Why aren't Bayesian Networks and Variable Elimination introduced earlier?

Throughout my undergrad, I dreaded probability. I hated it, I was horrible in it, I just never got it, and felt stupid when the professors used "summation/marginalization" equations out of the blue to ...
6
votes
4answers
202 views

Why do we teach estimation in Statistics and Mathematics?

Please forgive me if this is naive. I am only an aspiring educator after all. Why do we still teach estimation when there are easily accessible/teachable exact techniques? Why do statisticians teach $...
0
votes
1answer
74 views

Text book on real analysis for undergrad in statistics

May I get some recommendation on text book on real analysis for undergrad in statistics? Thank you.
7
votes
3answers
154 views

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 ...
12
votes
5answers
377 views

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 ...
11
votes
4answers
254 views

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 "...
5
votes
2answers
86 views

Looking for examples from the MCMC family of ideas

I am teaching a "computation" course, where we get students to explore mathematics and statistics via a high-level programming language. So the course is less about mathematics proper, and more ...
5
votes
2answers
211 views

Small data sets with integral sample standard deviations

I'm looking for small data sets ($N\approx10$) that have integral (or even rational) sample standard deviations. Given a list of observations $\{x_1,\ldots,x_N\}$ with mean $\bar{x}$, the sample ...
3
votes
3answers
176 views

Which math class should I take as an exchange student in the USA (OH)? [closed]

I will go to an American High School (Ohio) this summer for a year and I will probably be a junior. I got a list of all classes, but there are really many classes to choose especially math classes. I ...
4
votes
2answers
125 views

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 ...
0
votes
0answers
69 views

How many contact-hours should I have with students? (Secondary Ed.)

I'm interested in discovering how many hours of contact math educators have with their students each week. I've done some research and gotten some averages by country, but I can't find enough data (...
5
votes
1answer
152 views

What should I cover when teaching hypothesis testing in high school?

I'm currently teaching basic probability and after that I would like to do some simple hypothesis testing. Frankly, probability theory and statistics have never really interested me but I feel like my ...
7
votes
3answers
158 views

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 ...
4
votes
2answers
530 views

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 ...
8
votes
1answer
100 views

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 ...
12
votes
7answers
535 views

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 ...
5
votes
3answers
142 views

Is there a case for ditching any of the paper tables in elementary statistics courses?

The textbook I'm using explains the it is "impractical" to have a normal distribution for all values of $\sigma$ and $\mu$, hence the standard normal distribution table. To me, this simply doesn't ...
4
votes
3answers
197 views

Statistics students lack calculator skills, how to help them?

Many of my statistics students will calculate the standard deviation for a set of data using the formula when it is not required or appropriate. When faced with something like $\sqrt{56}$ they will ...
2
votes
0answers
53 views

Feedback about statistical and numerical illiteracy-examples website? [duplicate]

I have assembled a list of statistical and numerical illiteracy examples in the media, as they appeared in Chance News online (a statistics wiki) between 2005 and 2014. See "Collected Forsooths at ...
6
votes
4answers
265 views

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 ...
8
votes
2answers
143 views

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 ...
13
votes
2answers
770 views

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 ...
19
votes
14answers
3k views

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 ...
7
votes
5answers
320 views

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 ...
5
votes
1answer
479 views

Self-study Linear Algebra textbook for ML and Stats

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 ...
6
votes
0answers
59 views

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?
15
votes
3answers
50k views

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 ...
10
votes
3answers
304 views

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....
6
votes
3answers
13k views

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" ...
10
votes
6answers
741 views

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 ...
7
votes
1answer
298 views

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 ...
17
votes
4answers
548 views

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 ...
18
votes
2answers
675 views

Adult Mathematical Literacy

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 ...
28
votes
4answers
3k views

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 ...
67
votes
20answers
17k views

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 ...
14
votes
4answers
930 views

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 ...
20
votes
9answers
881 views

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 ...