AP statistics (Modeling data distributions (how does the data in a group…
Modeling data distributions
How to calculate a percentile? what is the meaning of it.
What is z score? how to calculate it
how does the data in a group shift or scale can affect the transformation of the mean/ standard deviation.
can cause mean to shift n
standard deviation won't change,
multiple by n
can cause mean to multiply by n
can cause standard deviation to multiply by n
What is a density curve
skew 对mean / median value的影响
by z-score, you can find percentage in the density curve in the z-table , this is the area that is lower than the data with the z-score.
what is empirical rule?
how to use the z-score and z-table
how to reversely use the z-table/z-score
Exploring bivariate numerical data
What is a scatter plot? How to construct it? how to use it to tell the 2 variables' relationship is positive/linear etc. ?
what is Correlation coefficients? -1< r < 1
linear model and trendline?
think about the slope and y-intercept
What is residual? What is least squared regression? How are they used in the linear model?
what is residual plot?
what is the standard deviation of the residual?
what is the impact of removing outliner point from scatter plot cause to the line of regression
how to define the population and sample.
Different bias of choosing a sample.
correlation vs causality
How to generate random samples
stratified or clustered or random
Types of Statistical studies
trying to establish a population parameter
control group vs treatment
what is blind experiment? double blind? matched pair design
What is a significance test?
what is p-value ?
what is significant level
What is type I and Type II error?
how does significant level affect the type i and Type II error ?
how does sample size affect the type i and Type II error ?
Displaying and comparing quantitative data
What is a dot plot
What is a histogram
What is a Stem and leaft plots?
What is the shape of the distribution , what is skewed. , what is outliners
what is a box plot
Summarizing quantitative data
calculate the mean of a group of data.
calculate the median
group of data has even number of data, then need to sum up the middle 2 number and then divide by 2.
calculate the populate variance and standard deviation
calculate the sample variance and standard deviation
how to use the 1.5 IQR to determine the outliners
what is probability?
what's the difference of experimental or theoretical probability?
Addition Rule of Probability and Venn Diagram
What is independent event? What is the rule of Multiplication
Analyzing categorical data
analyzing one categorical variable.
what is the "individuals"
what is a variable of individual
What is categorical variable?
margin distribution vs conditional distribution
what is 2 way table?