WITH CORRECT ANSWERS GRADED A+
◍ observational study.
Answer: when researchers observe and record data on variables as they
naturally occur, without any intervention or manipulation
◍ empirical probability.
Answer: probability estimate based on the results of actual experiments or
historical data
◍ Stratified Sampling.
Answer: Dividing the population into distinct subgroups called strata, based
on specific characteristics such as age, gender, or socioeconomic status.
Once the population is divided into strata, a random sample is taken from
each stratum in proportion to its representation in the overall population.
This ensures that the sample reflects the diversity of the population in terms
of the chosen characteristics.
◍ pie chart.
Answer: categories of data represented by wedges in a circle that are
proportional in size to the percentage of individuals in that category
◍ P(A or B) Formula.
Answer: P(number outcomes in A) + P(number of outcomes in B) -
P(number of outcomes in both A and B)
◍ dot plot.
Answer: dots (or points) positioned above a number line, which provide a
precise visualization of the data's location and how closely points are
grouped together
◍ simple random sample.
, Answer: sample chosen from a population from which each possible subset
of the same size has an equal probability of being chosen
◍ Fair.
Answer: a description of an activity that has an expected value of 0
◍ sample size.
Answer: the number of outcomes in the sample space
◍ categorical variables.
Answer: categories or labels, such as hair color, occupation, or favorite type
of food
◍ outcome.
Answer: result of performing one trial of the experiment
◍ response variable.
Answer: variable that represents the outcome the researcher is interested in
explaining or predicting
◍ median.
Answer: middle value when a data set is ordered from least to greatest
◍ stratified sampling.
Answer: method of random sampling that involves dividing the population
into distinct subgroups called strata, based on specific characteristics such as
age, gender, or socioeconomic status
◍ causal relationship.
Answer: a relationship between two events, or variables, in which one event
or process causes an effect on the other event or process
◍ categorical variable.
Answer: data that describes qualities using names, labels, or categories
◍ Self-interest Study.
Answer: Bias that can occur when the researchers have a personal stake or
interest in the outcome of the study
, ◍ variables.
Answer: characteristics or measurements that we are interested in studying
◍ experimental unit.
Answer: a single object or individual being measured
◍ quantitative variable.
Answer: data based on a numerical measurement
◍ union.
Answer: the set of all outcomes that are in either one or the other or both
events
◍ box plot.
Answer: graphical representation of the five-number summary of a data set
◍ Experiment.
Answer: Researchers intentionally manipulate one or more variables (the
explanatory variables) to observe their effect on another variable (the
response variable). Participants are randomly assigned to different groups,
with each group receiving a different treatment or level of the explanatory
variable.
◍ Convenience Sample.
Answer: Sample in which individuals are selected based on the convenience
of the researcher, often because they happen to be at the right time and place
◍ Cluster Sampling.
Answer: Dividing the population into clusters, which are naturally occurring
groups like schools, neighborhoods, or cities. Instead of randomly selecting
individuals from the entire population, researchers randomly select a few
clusters and include all individuals within those selected clusters in the
sample. This method is often used when it's difficult or expensive to sample
individuals directly from the entire population.
◍ Causal Relationship.
Answer: A relationship between two events, or variables, in which one event