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Goal of statistics
to learn about a large group of individuals simply by studying the data that we collect from a smaller subset of its members; draw conclusions about a small group from a more manageable subset
data
any information that we collect from the people involved in our study
population
the entire or complete group of people, items, etc., that we are interested in studying
these vary in size
Ex: all undergraduate students at Duquesne
sample
a smaller subset of the population
parameter
a measurement that describes a fact or characteristic of a population
actual values for the entire population
statistic
a measurement that describes a fact or characteristic of a sample
best estimate of entire population
qualitative variables (or categorical)
used to separate data into different categories that are distinguishable by some non-numeric characteristic
used to classify or categorize
limited computations
Ex: ethnicity, hair color, political party affiliation
quantitative variables
variables that take numerical values for which arithmetic operations such as adding and averaging make sense
Ex: height, weight, age
discrete variable
a variable characterized by gaps or interruptions in the values that it can assume
restricted to a set of values that possess gaps (must be finite numbers)
Ex: # of daily admissions to a local hospital
continuous variable
a variable that can take on any value in a specified interval
no GAPS (can be decimal numbers)
Ex: amount of daily rainfall