Vocabulary Flashcards
What is statistics?
The study of variability
What is variability?
How things are different between one member of the population to another.
What are 2 branches of AP STATS?
Inferential and descriptive
What are descriptive stats?
Describe the data that is collected. Pictures, summaries, mean median range etc
What are inferential stats?
While looking at the data, make connections to the bigger picture. (Small sample of soup represents the taste of the whole pot)
Compare descriptive and inferential stats
Descriptive: Explains and shows the data collected. Inferential: uses conclusions from the data to talk about the entire population
What is data?
Any collected information (typically from a study)
What is a population?
The group that is the focus of the study and is directly related to data collection.
What is a sample?
A subset of a population, taken in order to make inferences about the population. We take statistics from samples.
Compare population to sample
Populations are like a bundle of grapes while samples are only one grape each.
Compare data to statistics
Data is the small increments of information that is collected while statistics are summaries of the data written in a specific form
Compare data to parameters
Data is the small increments of information that is collected while parameter helps define how the data is categorized numerically.
What is a parameter?
A numerical summary of a population. Mean, median, range etc of a population.
What is a statistic?
A numerical summary of a sample. Mean, median, range, etc of a sample.
Dunkin donuts average wait time.
The parameter is the true average wait time at DD. This is a number you dont know. The statistic is 3.2 minutes, which is the average of the data you collected. The parameter of interest is the average wait time for all cars. The data is the wait time for each individual participant of the study.
Compare data-statistic-parameter using categorical example
Data are individual measures. Stats and parameters are summaries.
Compare data-statistic-parameter using quantitative example
Data are individual measures (how many seconds someone can hold their breath). 64, 80, 31. Stats and parameters are summaries. The avg time was 52sec.
What is a census?
A sample of an entire population, aiming to get a response from everyone.
Does a census make sense?
It is near impossible to take a census of a large population, but is more manageable when done with a small population size (Population of USA vs Math classP)
Whats the difference between a parameter and a statistic?
Both are a single number summarizing a group of much larger numbers.
Taking a random sample of 20 hamburgers from Five Guys and count the numbers of pickles. One of them had 9, the number nine from that burger would be called
A datum, or data value