Summer Work Flashcards
What is statistics?
The study of variability
What is variability?
Differences, how things differ. We all look different and have different preferences. Statistics look at these differences
What are the 2 branches of statistics?
Inferential and descriptive
What are descriptive statistics?
Describing data using pictures and summaries, etc.
What are inferential statistics?
Look at the data you’ve collected to make an inference about the whole population
Compare descriptive and inferential stats.
Descriptive explains the data you have, inferential uses the data to try to say something about the entire population.
What is data?
Any collected information
What is a population?
The group you’re interested in.
What is a sample?
A subset of a population often taken to make inferences of a population. We calculate statistics from samples
Compare population to sample.
Populations are generally large, and samples are small portions of populations. Samples are used to make inferences of the population. We use statistics to estimate parameters.
Compare data to statistics.
Mean of a sample is a statistic
Compare data to parameter
Mean of population is a parameter
What is a parameter?
A numerical summary of a population. Mean, median, range, of a population
What is a statistic?
A numerical summary of a sample
We are curious about the average wait time at a Dunkin donuts drive through. You sample care one afternoon and find the average wait time is 3.2 mins. What is the population parameter? What is the statistic? What is the parameter of interest? What is the data?
The parameter is the true average wait time at Dunkin donuts. This is a number that you don’t have and will never know. The statistic is “3.2 mins”. It is the average of the data you collected.
Compare data-statistic-parameter using categorical example.
Data are individual measures like meal preference: taco, pasta, taco, burger, burger. Statistics and parameters are summaries. Statistic: 42% of the sample want taco. Parameter: 42% of the population want tacos.
Compare data-statistic-parameter using quantitative example.
Average breathe of the sample is 40 seconds. Average breathe of the population is 38 seconds
What is a census?
A sample of the entire population. Information collected from every member of the population.
When does a census make sense?
For small populations
Difference between statistics and parameter?
Both are summaries. Statistics are from samples, parameters are from populations.
If I take a sample of 20 burgers from five guys and count the number of pickles on a bunch of them and one of them had 9 pickles then that burger would be called?
A datum or data value
If I take a sample of 20 burgers from five guys and counted the number of pickles on a bunch of them and the average number of pickles were 9.5 that is considered a____?
Statistic