Statistics

POPULATION

a collection of persons, things, or objects under study.

SAMPLE

a portion (or subset) of the larger population, to study & gain info about the population. Data are the result of sampling from a population.

STATISTICS

a number that represents a property of the sample. An estimate of a population parameter. (the

PARAMETER

a number that is a property of the population (average - mean of something involving the whole group)

REPRESENTATIVE SAMPLE

The sample must contain the characteristics of the population in order to be a representative sample.

VARIABLE

notated by capital letters such as X and Y, is a characteristic of interest for each person or thing in a population.

VARIABLE 1

Variables may be numerical (quantitative) or categorical (qualitative)

QUALITATIVE VARIABLE (categorical)

place the person or thing into a category

QUANTITATIVE VARIABLE (numerical)

take on values with equal units such as weight in pounds and time in hours

DESCRIPTIVE STATISTICS

organizing and summarizing data

INFERENTIAL STATISTICS

Statistical inference uses probability to determine how confident we can be that our conclusions are correct.

QUALITATIVE DATA

is the result of categorizing or describing attributes of a population. Qualitative data are generally described by worlds or letters.

QUANTITATIVE DATA

are always numbers. Quantitative data are the result of counting or measuring. (Ex money, weight, pulse rate (etcetera) Quantitative data may be either discrete or continuous.

QUANTITATIVE DISCRETE DATA

all data that are the result of counting

QUANTITATIVE CONTINUOUS DATA

All data that are the result of measuring

NOTE ON QUANTITATIVE DATA

example: number of books in the backpacks are discrete data and the weights of the backpacks are continuous data