What probability and statistics ideas DO we cover, anyway?

In a nutshell: There is some confusion and new information surrounding which probability and statistics concepts we cover and which ones we don’t. We’ve created a list to help you out!

We have mentioned before that the upper limit of the probability and statistics material that we cover is defined by the High School Statistics and Probability section of the Common Core State Standards for math.

However, the language in some of these standards is not very exact. For example, one particular standard claims that students have to be able to use the mean and standard deviation for a normally distributed data set to estimate population percentages. This implies (without explicitly stating) that they need to calculate and use z-scores.

To display our updated policy and clear up the confusion once and for all, here is a comprehensive outline of the concepts in probability and statistics that we expect Yup Math Tutors to be able to cover by the start of the upcoming school year (topics not originally included by the Tutor Policies document are in green text):

  • Basic probability (e.g. if there are 3 blue blocks and 4 green blocks in a bag, what is the probability of a randomly chosen block turning out to be blue?)
  • Compound events
    • Choosing objects with and without replacement
    • Mutual exclusivity
    • Dependent vs. independent events
    • Addition and Multiplication Rules
    • Conditional probability (Bayes’ theorem)
  • Permutations and combinations
  • Calculating expected values (e.g. It costs $5 to play a gambling game that has a 1% chance of paying you $200 and a 10% chance of paying you $20. What is the expected payout of the game?)
  • Central tendency in data sets (mean, median, mode)
  • Spread in data sets (standard deviation, interquartile range, outliers)
  • Understanding when a probability distribution is normal, skewed right, or skewed left (68-95-99.7 rule)
  • Using mean and standard deviation of a normally distributed data set to estimate population percentages (e.g. calculating z-scores)
  • Using sample means and standard deviations to test for statistical significance (specifically: null and alternate hypotheses, one- and two-tailed t-test, p-values, chi-squared goodness of fit test, and degrees of freedom)
  • Finding the population proportion and margin of error for a given population parameter and confidence interval
  • Understanding scatter plots, box-and-whisker plots, stem-and-leaf plots, and histograms
  • Frequency (relative, joint, marginal, and conditional) in two-way data tables
  • Basic sampling methods and biases
    • Simple random sampling
    • Different between sample survey, experiment, observational study
  • Basic principles of lines of best fit (regression lines)
    • Fitting regression lines 
    • Finding the correlation coefficient (using a calculator)
    • Understanding that correlation does not imply causation
    • Interpreting the slope and y-intercept for a data set
    • Plotting residuals

We still do not cover certain advanced probability distributions (e.g. Poisson or geometric), advanced hypothesis tests (e.g. ANOVA), Type I and II errors, or any other concepts that are not found in the Common Core. Since we realize that much of this material has not been mentioned in the past, here are a few resources (among many) that you can use to update/refresh your knowledge on any of the material mentioned above.

In addition, there will be a 3-week period, starting today, in which you will not be given an infraction for telling students you cannot solve a problem if it contains statistics concepts that we previously regarded as outside our coverage. Use it wisely!!

–Team Yup

Two reminders: Use the yup.com domain and report cheating users in HipChat!


In a nutshell: Use only the www.yup.com domain to access your Tutor Dashboard and remember to report the usernames of cheating users in the “Reported Users” HipChat room
.

When you try to use an outdated domain like mathcrunch.com or mathcrunch.herokuapp.com, you are likely to encounter bugs and odd behavior! Remember to only use https://www.yup.com/tutor_dashboard to access your Tutor Dashboard.

Also, whenever you encounter a cheating user, you need to apply the “Cheating” tag in the Post-Session Screen, and you also need to notify the “Reported Users” room on HipChat of the cheating user’s username with a message like the following: “[username] is working on an exam.” You can find this room by typing “Reported Users” into your HipChat search bar.

One final note: if a user says that he or she is working on a practice quiz, do not treat that user as a cheating user!

— Team Yup

Still Confused about Session Tags?


In a nutshell: See the document linked below for the Dos and Donts of using session tags
.

To help ensure we are all on the same page with using session tags, we have added an in-depth look at their uses to our Session Categorization guide:

Session Tags In-Depth

These guidelines address many of the questions we’ve been receiving from you and provide more clarity about tagging less common situations.

 

Still unsure about how to tag a particular situation or have a question? Don’t hesitate to get in touch with us at tutor.support@yup.com.

— Team Yup

Tick-tock! Increase in Session Claim Time

In a nutshell: You will now have 15 seconds to claim a session once matched with a student.

As some of you may have noticed, you will now have 15 seconds to click the orange “Connect” button when paired with a student. This is an extension from the previous 10-second countdown.

Remember: If you fail to claim the session before the 15-second countdown ends, your “Passed” count in the upper-left corner will increase. It’s extremely important to promptly attend to any user you are matched with — failing to do so lets down our students and may carry penalties.

Let us know if you have any questions!

— Team Yup