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Introductory Statistics: 1,250 Free Flashcards

A complete introductory statistics course, built from the 13 chapters of OpenStax Introductory Statistics 2e. It starts with data, sampling and experimental design, then descriptive statistics: percentiles, quartiles, box plots, the mean and median, and spread. Probability follows, with independent and mutually exclusive events, contingency tables and tree diagrams, and then the discrete and continuous distributions: binomial, geometric, hypergeometric, Poisson, uniform and exponential. The normal distribution and the Central Limit Theorem lead into inference: confidence intervals for means and proportions, hypothesis tests with one and two samples, Type I and Type II errors, chi-square tests, linear regression and correlation, and one-way ANOVA with the F distribution. Every calculation (standard deviation, z-scores, probabilities, standard errors, interval bounds, test statistics, chi-square, the regression line, the F ratio) is a typed card whose answer was recomputed by script, and no card makes you read a z, t, chi-square or F table or use a calculator: the value you need is in the question. Cards are text only, so every graph is described in words or as a small data table.

1,250cards
13units
59chapters
14sources cited

What's inside

Unit 1 Sampling and Data

4 chapters · 82 cards

Unit 2 Descriptive Statistics

7 chapters · 122 cards

Unit 3 Probability Topics

5 chapters · 103 cards

Unit 4 Discrete Random Variables

6 chapters · 99 cards

Unit 5 Continuous Random Variables

3 chapters · 41 cards

Unit 6 The Normal Distribution

2 chapters · 103 cards

Unit 7 The Central Limit Theorem

3 chapters · 82 cards

Unit 8 Confidence Intervals

4 chapters · 97 cards

Unit 9 Hypothesis Testing with One Sample

5 chapters · 125 cards

Unit 10 Hypothesis Testing with Two Samples

4 chapters · 117 cards

Unit 11 The Chi-Square Distribution

6 chapters · 111 cards

Unit 12 Linear Regression and Correlation

6 chapters · 110 cards

Unit 13 F Distribution and One-Way ANOVA

4 chapters · 58 cards

Try a few real cards

Copied straight from the course. In the app, each wrong option also gets its own explanation.

Card 1On Test A (mean 70, standard deviation 10) you scored 85. On Test B (mean 25, standard deviation 4) you scored 33. Which result is stronger relative to its group?

  1. Test A, because 85 is a bigger raw score than 33
  2. Test B, because its z-score of 2.0 is larger than 1.5
  3. Test A, because its mean is larger than Test B's mean
  4. They are equal, because both scores are above average
Show answer

Test B, because its z-score of 2.0 is larger than 1.5. Test A: z = (85 - 70)/10 = 1.5. Test B: z = (33 - 25)/4 = 2.0. Test B is further above its own mean.

Card 2Which statement is a correct reading of a 95% confidence level?

  1. About 95% of intervals built this way capture the parameter
  2. There is a 95% probability that mu lies in this one computed interval
  3. About 95% of the individual data values lie inside the interval
  4. About 95% of future sample means will fall inside the interval
Show answer

About 95% of intervals built this way capture the parameter. The level is a statement about how often the procedure succeeds across repeated random samples.

Card 3With alpha = 0.01 and a p-value of 0.025, what is the decision?

  1. Do not reject H0, since 0.025 exceeds 0.01
  2. Reject H0, because 0.025 is a very small number
  3. Reject H0, because 0.025 is below the usual 0.05
  4. Accept H0, because the result was close enough
Show answer

Do not reject H0, since 0.025 exceeds 0.01. The p-value 0.025 is not less than alpha = 0.01, so the evidence is not strong enough to reject H0.

Questions

Is the Introductory Statistics course really free?

Yes. Create a free Encodr account and all 13 units and 1,250 cards are yours to study, with spaced repetition scheduling your reviews.

Which textbook is it based on?

OpenStax Introductory Statistics 2e (all 13 chapters, CC BY-NC-SA) and standard introductory definitions. The cards are rewritten, not copied.

What does the course cover?

Sampling and data, descriptive statistics, probability, discrete and continuous distributions, the normal distribution, the Central Limit Theorem, confidence intervals, one- and two-sample hypothesis tests, chi-square tests, linear regression and correlation, and one-way ANOVA.

Does it include the math?

Yes. Standard deviation, z-scores, probabilities, standard errors, confidence intervals, test statistics, chi-square, the regression line and the F ratio are typed practice cards, and every answer was recomputed by script.

Do I need a calculator or a z-table?

No. Questions that need a table value give it to you, so the cards test which value to use and what the result means. Only the standard z values for common confidence levels are expected from memory.

Does it include graphs?

No. Cards are text only, so histograms, box plots and scatter plots are described in words or as a small data table.

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