Vocabulary
This is the science of collecting, organizing, summarizing and analyzing information in order to form conclusions and answer questions.
What is statistics?
These kinds of variables measure the characteristics and numerical classification of individuals.
What are qualitative and quantitative variables?
These are the two kinds of designed experiments we discussed in class.
Matched-Pairs Design- Treatments are randomly chosen for each the of two identical subjects (such as twins, two of the same plant, etc.).
Jeff wants to figure out how long on average he takes a work call. Once he has his data, what kind of graph should he create?
These are what make up a 5-number summary.
What are minimum, Q1, median (Q2), Q3, and maximum?
This is a way to measure behavior of individuals without directly controlling or influencing the outcome of the study in any way. In other words, it only allows a claim to causation, not association.
What is an observational study?
Davy takes note on whether it rains or not in her area throughout the month. Is this data qualitative or quantitative?
Qualitative
These are the types of observational studies that we discussed in class (please define them also).
Case-Control study: Individuals are asked to recall something for this kind of study (retrospective).
Cohort Study- Individuals are asked to do something over a long amount of time (years) for a study (prospective).
Cross-sectional Study- Individuals are asked to participate in a study over a specific or short amount of time (usually days).
This is how you generate a graph on Statcrunch.
Graph, Bar plot/histogram, choose what kind of graph you would like.
This is how you can calculate the frequency and relative frequency on Statcrunch.
Stats, Tables, Frequency
This is a list of all the members of a population.
What is frame?
Samantha wants to figure out how much fabric on average people buy for projects in fabric stores in her city. There are 10 craft stores in her city that people can go to, and she randomly takes a sample of 5 of them. From these 5 stores, she randomly selects people from them to survey them. What sampling technique did Samantha use and how would you describe her data?
Cluster sampling, quantitative/continuous data
60 patients with carpal tunnel syndrome are randomly divided into two groups. One group is treated weekly with both acupuncture and an exercise regimen. The other is treated weekly with the exact same exercise regimen, but no acupuncture. After 1 year, both groups are questioned about their level of pain due to carpal tunnel syndrome. Is this an observational study or a designed experiment?
Samuel is trying to figure out which types of martial arts people in his grade like. Out of the 436 people in his grade here is the frequency: Karate=56, Taekwondo=35, Judo= 212, Kung-fu=69 and Boxing=64.
What's the relative frequency for the data (round to the nearest decimal?
13%, 0.1%, 48%, 16%, and 15%
True or False: The mean, standard deviation, and mode are all resistant.
False! The median is though!
These kinds of observational studies collect information about individuals over a very specific or short amount of time.
What is a cross-sectional study?
These are the ways not to create a graph (Please name at least 3).
What is a graph with 3-dimensional images, a truncated scale, unlabeled axis, too many designs, no data or scales, no sources, distortion, untruthful data, or no units of measure?
An observational study
These are words commonly used to describe the shape of graphs.
What are normal/symmetrical/bell-shaped, left-skewed, right-skewed, bimodal, and uniform?
This is how you can calculate the measures of central tendency on Statcrunch.
Stat, Summary Stats, Columns, then choose which measure you want to find.
The spacing between groups in a frequency distribution table.
What is Class Width?
Is the following a statistic or a parameter?
56% of students at a local high school passed the SAT with a 1000 or higher.
83% of shoppers are found to have bought a new brand of tomato sauce according to a survey from a magazine.
Parameter, statistic
Seventh-grade students are randomly divided into two groups. One group is taught math using traditional techniques; the other is taught math using a reform method. After one year, each group is given an achievement test to compare proficiency. Is this an observational study or a designed experiment?
A Designed Experiment
Bonus! Please draw out the Empirical Rule on the board for these points.
Good Job!
This is how you calculate IQR as well as the lower and upper fences.
Q3-Q1 and Q1-1.5*IQR (lower fence), Q3-1.5*IQR (upper fence)