Section 1.1 Statistics 190

variable

a measurable characteristic or attribute for an individual, that may differ in numerical value or classification from person to person

statistic

a science where information is collected, organized, summarized, and analyzed

sample

a subset of the entire population

Qualitative variable

a variable that contains a classification system for its variable values.

discrete or continuous ? Length (in minutes) of a country song

continuous

discrete or continuous? temperature on a randomly selected day in Memphis, Tennessee

continuous

Statistic vs Parameter (Statistic definition)

describes a sample

List the process of statistics

determine the research objective, formulate the research question, collect data to answer the research question, describe the date, perform inference on the data

discrete or continuous? Goals scored in a season by a soccer player

discrete

discrete or continuous? points scored in an NCAA basketball game

discrete

Inferential statistics

extending sample results to the population

descriptive statistics

graphical and numerical methods used to describe, organize, and summarize the variable values on variables for a research study

Parameter or Statistic? Ty Cobb is one of major league baseball's greatest hitters of all time, with a career batting average of 0.366. Baseball-almanac.com

parameter

Parameter or Statistic? following the 2010 national midterm election, 12% of the governors of the 50 United States were female. National Governors Association

parameter

Qualitative or Quantitative: cell phone number

qualitative

Qualitative or Quantitative: gender

qualitative

Qualitative or Quantitative: zip code

qualitative

Quantitative or Qualitative? Nation of origin

qualitative

quantitative or qualitative? phone number

qualitative

quantitative or qualitative? Number of unpopped kernels in a bag of ACT microwave popcorn

quantitative

quantitative or qualitative? grams of carbohydrates in a doughnut

quantitative

Parameter or Statistic? A study of 6076 adults in public restrooms (in Atlanta,Chicago, New York City, and San Fransisco) found that 23% did not wash their hands before exiting.

statistic

Parameter or Statistic? In a national survey of 1300 high school students (grades 9-12), 32% of respondents reported that someone had bullied them in school. Bureau of Justice Statistics

statistic

Variable Values

the assigned numerical range or classification system for a variable

population

the entire collection of individuals on whom to collect data for a statistical process

parameter

the numerical summary of a population

Data

the specific variable values measured or counted for the variables of interest in the statistical process

An Act Composite Score is an example of a ______________________

variable

An Act Composite Score is a variable where the possible values range from 1-36

variable values

continuous quantitative variables

variable values are either infinite, or may assume any value between points. variable values are measured, and cannot be counted

discrete quantitative variables

variables values are either finite or may only assume certain values between points. variable values are usually countable

Quantitative variable

variables where the variable values are a numerical range that can be added or subtracted to provide meaningful results