الإحصاء AP | AP®︎ Statistics — مقرر جامعي مجاني
مِسبار · مقرر جامعي مجاني
AP®︎ Statistics
تعلم الإحصاء AP (AP®︎ Statistics) مجانًا عبر 14 وحدات و212 فيديو تعليميًا، بإجمالي نحو 22 ساعة، ضمن مكتبة مِسبار الجامعية.
Learn a powerful collection of methods for working with data! AP®️ Statistics is all about collecting, displaying, summarizing, interpreting, and making inferences from data.
- 14 وحدات.
- 212 فيديو.
- نحو 22 ساعة مشاهدة.
- المستوى: advanced-placement.
ابدأ مشاهدة المقرر داخل مكتبة مِسبار
التخصصات المرتبطة بالمقرر
- الهندسة الصناعية (Industrial Engineering)
- علوم الحاسوب (Computer Science)
- الذكاء الاصطناعي (Artificial Intelligence)
- علم البيانات (Data Science)
- الاقتصاد (Economics)
- المالية (Finance)
- إدارة الأعمال (Business Administration)
- المحاسبة (Accounting)
- التسويق (Marketing)
- سلاسل الإمداد (Supply Chain Management)
- الطب (Medicine)
- الصيدلة (Pharmacy)
- التمريض (Nursing)
- الصحة العامة (Public Health)
- التغذية (Nutrition)
- المختبرات الطبية (Medical Laboratory Sciences)
- الإحصاء (Statistics)
- الأحياء (Biology)
- العلوم السياسية (Political Science)
- الإعلام (Media Studies)
- تعليم الرياضيات (Mathematics Education)
- تعليم الدراسات الاجتماعية (Social Studies Education)
وحدات ودروس المقرر
1. Exploring categorical data
10 فيديو تعليمي.
موضوعات ودروس الوحدة
- Identifying individuals, variables and categorical variables in a data set
- Creating a bar graph
- Reading bar graphs: movies
- Reading bar charts: comparing two sets of data
- Two-way frequency tables and Venn diagrams
- Two-way relative frequency tables
- Interpreting two-way tables
- Mosaic plots and segmented bar charts
- Analyzing mosaic plots
- Marginal and conditional distributions
2. Exploring one-variable quantitative data: Displaying and describing
9 فيديو تعليمي.
3. Exploring one-variable quantitative data: Summary statistics
19 فيديو تعليمي.
موضوعات ودروس الوحدة
- Statistics intro: Mean, median, & mode
- Median in a histogram
- Missing value given the mean
- Impact on median & mean: increasing an outlier
- Impact on median & mean: removing an outlier
- Estimating mean and median in data displays
- Interquartile range (IQR)
- Sample variance
- Sample standard deviation and bias
- Visually assessing standard deviation
- Mean and standard deviation versus median and IQR
- How parameters change as data is shifted and scaled
- Review and intuition why we divide by n-1 for the unbiased sample variance
- Why we divide by n - 1 in variance
- Simulation showing bias in sample variance
- Simulation providing evidence that (n-1) gives us unbiased estimate
- Reading box plots
- Interpreting box plots
- Judging outliers in a dataset
4. Exploring one-variable quantitative data: Percentiles, z-scores, and the normal distribution
13 فيديو تعليمي.
موضوعات ودروس الوحدة
- Calculating percentile
- Analyzing a cumulative relative frequency graph
- Z-score introduction
- Comparing with z-scores
- Density Curves
- Median, mean and skew from density curves
- Qualitative sense of normal distributions
- Normal distribution problems: Empirical rule
- Standard normal table for proportion below
- Standard normal table for proportion above
- Standard normal table for proportion between values
- Finding z-score for a percentile
- Threshold for low percentile
5. Exploring two-variable quantitative data
19 فيديو تعليمي.
موضوعات ودروس الوحدة
- Constructing a scatter plot
- Example of direction in scatterplots
- Bivariate relationship linearity, strength and direction
- Calculating correlation coefficient r
- Example: Correlation coefficient intuition
- Introduction to residuals and least-squares regression
- Calculating residual example
- Residual plots
- Calculating the equation of a regression line
- Interpreting slope of regression line
- Interpreting y-intercept in regression model
- Using least squares regression output
- R-squared or coefficient of determination
- Standard deviation of residuals or root mean square deviation (RMSD)
- Interpreting computer regression data
- Impact of removing outliers on regression lines
- Influential points in regression
- Transforming nonlinear data
- Worked example of linear regression using transformed data
6. Collecting data
13 فيديو تعليمي.
موضوعات ودروس الوحدة
- Identifying a sample and population
- Generalizability of survey results example
- Types of studies
- Worked example identifying observational study
- Invalid conclusions from studies example
- Examples of bias in surveys
- Example of undercoverage introducing bias
- Techniques for generating a simple random sample
- Techniques for random sampling and avoiding bias
- Systematic random sampling
- Introduction to experiment design
- Matched pairs experiment design
- Statistical significance of experiment
7. Probability
15 فيديو تعليمي.
موضوعات ودروس الوحدة
- Intro to theoretical probability
- Experimental versus theoretical probability simulation
- Random number list to run experiment
- Random numbers for experimental probability
- Probability with Venn diagrams
- Addition rule for probability
- Conditional probability and independence
- Conditional probability with Bayes' Theorem
- Conditional probability tree diagram example
- Compound probability of independent events
- Independent events example: test taking
- General multiplication rule example: independent events
- Dependent probability introduction
- General multiplication rule example: dependent events
- "At least one" probability with coin flipping
8. Random variables and probability distributions
34 فيديو تعليمي.
موضوعات ودروس الوحدة
- Constructing a probability distribution for random variable
- Valid discrete probability distribution examples
- Probability with discrete random variable example
- Theoretical probability distribution example: tables
- Theoretical probability distribution example: multiplication
- Mean (expected value) of a discrete random variable
- Interpreting expected value
- Variance and standard deviation of a discrete random variable
- Impact of transforming (scaling and shifting) random variables
- Example: Transforming a discrete random variable
- Mean of sum and difference of random variables
- Variance of sum and difference of random variables
- Intuition for why independence matters for variance of sum
- Deriving the variance of the difference of random variables
- Example: Analyzing distribution of sum of two normally distributed random variables
- Example: Analyzing the difference in distributions
- Binomial variables
- Recognizing binomial variables
- 10% Rule of assuming "independence" between trials
- Binomial probability example
- Generalizing k scores in n attempts
- Free throw binomial probability distribution
- Graphing basketball binomial distribution
- Binompdf and binomcdf functions
- Expected value of a binomial variable
- Variance of a binomial variable
- Finding the mean and standard deviation of a binomial random variable
- Geometric random variables introduction
- Geometric distribution mean and standard deviation
- Probability for a geometric random variable
- Cumulative geometric probability (greater than a value)
- Cumulative geometric probability (less than a value)
- TI-84 geometpdf and geometcdf functions
- Proof of expected value of geometric random variable
9. Sampling distributions
17 فيديو تعليمي.
موضوعات ودروس الوحدة
- Density Curves
- Probabilities from density curves
- Introduction to sampling distributions
- Central limit theorem
- Sampling distribution of the sample mean
- Sampling distribution of the sample mean (part 2)
- Sample statistic bias worked example
- Sampling distribution of sample proportion part 1
- Sampling distribution of sample proportion part 2
- Normal conditions for sampling distributions of sample proportions
- Probability of sample proportions example
- Sampling distribution of the difference in sample proportions
- Sampling distribution of the difference in sample proportions: Probability example
- Standard error of the mean
- Example: Probability of sample mean exceeding a value
- Sampling distribution of the difference in sample means
- Sampling distribution of the difference in sample means: Probability example
10. Inference for categorical data: Proportions
32 فيديو تعليمي.
موضوعات ودروس الوحدة
- Confidence intervals and margin of error
- Confidence interval simulation
- Interpreting confidence level example
- Conditions for valid confidence intervals for a proportion
- Conditions for confidence interval for a proportion worked examples
- Critical value (z*) for a given confidence level
- Example constructing and interpreting a confidence interval for p
- Determining sample size based on confidence and margin of error
- Idea behind hypothesis testing
- Examples of null and alternative hypotheses
- P-values and significance tests
- Comparing P-values to different significance levels
- Estimating a P-value from a simulation
- Constructing hypotheses for a significance test about a proportion
- Conditions for a z test about a proportion
- Calculating a z statistic in a test about a proportion
- Calculating a P-value given a z statistic
- Making conclusions in a test about a proportion
- Significance test for a proportion free response example
- Significance test for a proportion free response (part 2 with correction)
- Introduction to Type I and Type II errors
- Examples identifying Type I and Type II errors
- Introduction to power in significance tests
- Examples thinking about power in significance tests
- Confidence intervals for the difference between two proportions
- Examples identifying conditions for inference on two proportions
- Calculating a confidence interval for the difference of proportions
- Hypothesis test for difference in proportions
- Constructing hypotheses for two proportions
- Hypothesis test for difference in proportions example
- Comparing P value to significance level for test involving difference of proportions
- Confidence interval for hypothesis test for difference in proportions
11. Inference for quantitative data: Means
22 فيديو تعليمي.
موضوعات ودروس الوحدة
- Introduction to t statistics
- Simulation showing value of t statistic
- Conditions for valid t intervals
- Example finding critical t value
- Example constructing a t interval for a mean
- Confidence interval for a mean with paired data
- Writing hypotheses for a significance test about a mean
- Conditions for a t test about a mean
- When to use z or t statistics in significance tests
- Example calculating t statistic for a test about a mean
- Using TI calculator for P-value from t statistic
- Using a table to estimate P-value from t statistic
- Comparing P-value from t statistic to significance level
- Free response example: Significance test for a mean
- Conditions for inference for difference of means
- Constructing t interval for difference of means
- Calculating confidence interval for difference of means
- Hypotheses for a two-sample t test
- Example of hypotheses for paired and two-sample t tests
- Two-sample t test for difference of means
- Conclusion for a two-sample t test using a P-value
- Conclusion for a two-sample t test using a confidence interval
12. Inference for categorical data: Chi-square
4 فيديو تعليمي.
13. Inference for quantitative data: slopes
6 فيديو تعليمي.
موضوعات ودروس الوحدة
14. Prepare for the 2022 AP®︎ Statistics Exam
3 فيديو تعليمي.
مقررات مرتبطة
- حساب المثلثات | Trigonometry
- ما قبل التفاضل والتكامل | Precalculus
- الإحصاء والاحتمالات | Statistics & probability
- التفاضل والتكامل AP (AB) | AP®︎ Calculus AB
- التفاضل والتكامل AP (BC) | AP®︎ Calculus BC
- التفاضل والتكامل متعدد المتغيرات | Multivariable calculus
المصدر والحقوق
المحتوى الأصلي المرخص: أكاديمية خان. تقوم مِسبار بالفهرسة والتنظيم حسب التخصص، وتعرض الفيديوهات المرخصة غير التجارية داخل مكتبة مجانية مستقلة.