Lesson: 2.3 Data Classifications
Standard mathematical operations (such as addition and subtraction) are not defined for nominal and ordinal data, and, consequently, many...
...forms of statistical analysis (descriptive and inferential) are not appropriate.
Discrete
Data in which the observations are restricted to a set of values (such as 1, 2, 3, 4) that possesses gaps
Continuous
Data that can take on any value within some interval
Nominal Data
Data that represent whether a variable possesses some characteristic are called ___.
IQ scores, reported in whole numbers, of research scientists are an example of which type of data?
Discrete
Interval Data
If the data can be ordered and the arithmetic difference is meaningful
Indicate the level of measurement for the data set described. Temperatures (in degrees Celsius) of various sites on the planet Sat
Interval
Indicate the level of measurement for the data set described. Temperatures (in degrees Fahrenheit) of students visiting a school's health clinic
Interval
Indicate the level of measurement for the data set described. Time of day a person woke up each day for a year
Interval
indicate the level of measurement for the data set described. Birth years of your college professors
Interval
Indicate the level of measurement for the data set described. Breeds of dogs owned by a sample of households
Nominal
Indicate the level of measurement for the data set described. Combination lock codes
Nominal
Indicate the level of measurement for the data set described. Eye colors extracted from a collection of passport photos
Nominal
Indicate the level of measurement for the data set described. Hair colors extracted from a collection of passport photos
Nominal
Indicate the level of measurement for the data set described. House type of real-estate listings in Jacksonville, FL (cottage, condo, ranch, etc.)
Nominal
Indicate the level of measurement for the data set described. Categories of hurricanes that have hit the Atlantic coast
Ordinal
Indicate the level of measurement for the data set described. Educational level as reported in the census (Elementary school, High school graduate, Some college, etc.)
Ordinal
Indicate the level of measurement for the data set described. High school class rankings for a graduating class
Ordinal
Indicate the level of measurement for the data set described. Letter grades given for a college course
Ordinal
Indicate the level of measurement for the data set described. Ranks for members of the United States Army
Ordinal
Letter grades on a math exam are an example of which type of data?
Qualitative
Months of the year are an example of which type of data?
Qualitative
Types of cars people own are an example of which type of data?
Qualitative
Amounts of yearly rainfall in Miami over the last 5 years are an example of which type of data?
Quantitative
Boiling points in degrees Celsius for various substances are an example of which type of data?
Quantitative
Class sizes of various sections of college algebra at your university are an example of which type of data?
Quantitative
Goals scored during a soccer game are an example of which type of data?
Quantitative
Heights of sunflowers in a garden are an example of which type of data?
Quantitative
Sales in dollars made by a sales person are an example of which type of data?
Quantitative
Indicate the level of measurement for the data set described. Amount of weight lost by each participant in a fitness boot camp
Ratio
Indicate the level of measurement for the data set described. Household incomes taken from a selection of federal tax filings
Ratio
Indicate the level of measurement for the data set described. Lengths of newborn babies
Ratio
Indicate the level of measurement for the data set described. Number of characters in tweets posted in 2018
Ratio
Indicate the level of measurement for the data set described. Number of siblings that students in your statistics class have
Ratio
Ordinal Data
represent categories that have some associated order.
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. A statistical experiment is conducted in which the experimenter draws a card from a deck and records the suit of a card. The suits are recorded by placing the appropriate number on a form. The numbers used are given below: 1) Spades 2) Hearts 3) Diamonds 4) Clubs Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Qualitative 2.) Neither 3.) Nominal
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. A survey response to "Do you favor a flat tax?" 1) Yes 2) No Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Qualitative 2.) Neither 3.) Nominal
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. Survey responses to the question "What is the gender of your first child?" 1) Male 2) Female Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Qualitative 2.) Neither 3.) Nominal
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The number on the uniform of a football player. Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Qualitative 2.) Neither 3.) Nominal
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. You order a pizza. The kind of pizza you order is recorded by entering the appropriate number on an order form. The numbers used are given below. 1) Pepperoni 2) Mushroom 3) Black Olive 4) Sausage Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Qualitative 2.) Neither 3.) Nominal
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. A survey response to "Do you favor a flat tax?" 1) Yes 2) No Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Qualitative 2.) Neither 3.) Nominal
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The amount of monthly rainfall in 6 randomly selected months. Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Quantitative 2.) Continuous 3.) Ratio
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The heights of 48 randomly selected female students. Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Quantitative 2.) Continuous 3.) Ratio
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The heart beats per minute of 40 randomly selected people. Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Quantitative 2.) Discrete 3.) Ratio
Indicate the level of measurement for the data set described. Temperature (in degrees Fahrenheit) of apartment thermostats in an apartment complex
Interval
Indicate the level of measurement for the data set described. Colors of cats owned by a sample of households
Nominal
Indicate the level of measurement for the data set described. Political orientation as reported by students in a political science class (left, center, right)
Ordinal
Indicate the level of measurement for the data set described. Satisfaction ratings from course surveys given at the end of the semester
Ordinal
Indicate the level of measurement for the data set described. Sizes of sweatpants on a clearance rack
Ordinal
Bank account numbers are an example of which type of data?
Qualitative
Candy choices at the movie theater are an example of which type of data?
Qualitative
Colors contained in a box of crayons are an example of which type of data?
Qualitative
Eye colors are an example of which type of data?
Qualitative
Football jersey numbers are an example of which type of data?
Qualitative
Indicate the level of measurement for the data set described. Grams of saturated fat in each item on a menu
Ratio
Indicate the level of measurement for the data set described. Heights of ceilings in a building
Ratio
Indicate the level of measurement for the data set described. Heights of women entering the armed forces
Ratio
Indicate the level of measurement for the data set described. Number of athletes on the roster of each football team in the NCAA
Ratio
Indicate the level of measurement for the data set described. Prices of a particular jacket on various online retailer websites
Ratio
Indicate the level of measurement for the data set described. Weights of newborn babies
Ratio
level of measurement
The quality of data. The terms used to describe the quality of data are nominal, ordinal, interval, and ratio. When analyzing data you must be exceedingly conscious of the data's level of measurement because many statistical analyses can only be applied to data that possess a certain level of measurement.
Qualitative data
are measurements that can change in kind, but not in degree. It often consist of labels or descriptions and do not have naturally occurring numerical values.
Quantitative variables
are measurements that change in magnitude from trial to trial such that some order or ranking can be applied. It can be measured using a naturally occurring numerical scale.
Ratio Data
are similar to interval data, except that they have a meaningful zero point and the ratio of two data points is meaningful.
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. You toss a coin and record "head" as 1 and "tail" as 2. Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Qualitative 2.) Neither 3.) Nominal
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. Birth years of each person in your family. Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Quantitative 2.) Discrete 3.) Interval
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The IQ scores of students at the local college. Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Quantitative 2.) Discrete 3.) Interval
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The total weight of sugar imported by the United States each day for a year. Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Quantitative 2.) Continuous 3.) Ratio
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The weights of a sample of 100 Maine lobsters. Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Quantitative 2.) Continuous 3.) Ratio
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The number of days traveled last month by 100 randomly selected employees. Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Quantitative 2.) Discrete 3.) Ratio
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The number of gold medals each country won in the last Olympics. Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Quantitative 2.) Discrete 3.) Ratio
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The number of robberies that occurred last year in the 40 largest American cities. Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Quantitative 2.) Discrete 3.) Ratio
Classify the following data. Indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. The prices of 50 randomly selected cars. Are these data qualitative or quantitative? Are these data discrete or continuous? What is the highest level of measurement the data possesses?
1.) Quantitative 2.) Discrete 3.) Ratio
The numbers of each color of jelly beans in a jar (assuming they are all whole) are an example of which type of data?
Discrete
The numbers of questions answered correctly by various students on a 10-question quiz are an example of which type of data?
Discrete
The numbers of telephone calls received in one day by each person in a company are an example of which type of data?
Discrete
Indicate the level of measurement for the data set described. Average temperature (in degrees Fahrenheit) of the water in the Gulf of Mexico for each month of the past year
Interval
Indicate the level of measurement for the data set described. Boiling points (in degrees Celsius) for various substances
Interval
Indicate the level of measurement for the data set described. Copyright years of all books in a library
Interval
Indicate the level of measurement for the data set described. High temperatures (in degrees Fahrenheit) across the country for one day in July
Interval
Indicate the level of measurement for the data set described. Release years of a list of 100 of the greatest movies of all time
Interval
Indicate the level of measurement for the data set described. Release years of a list of 100 of the greatest rock albums of all time
Interval
Indicate the level of measurement for the data set described. Favorite category of movies reported in a survey
Nominal
Indicate the level of measurement for the data set described. Preferred cellphone brands of AT&T customers
Nominal
Indicate the level of measurement for the data set described. Young children's answers to the question "What do you want to be when you grow up?"
Nominal
indicate the level of measurement for the data set described. Religious preference specified from a survey (Christian, Hindu, Jewish, etc.)
Nominal
Indicate the level of measurement for the data set described. Karate belt colors worn by members of a martial arts gym
Ordinal
Indicate the level of measurement for the data set described. Places earned in various events by members of a track team at a meet
Ordinal
Hair colors are an example of which type of data?
Qualitative
Names of TV shows taped in New York are an example of which type of data?
Qualitative
Religious affiliations are an example of which type of data?
Qualitative
Types of motorcycles in a show room are an example of which type of data?
Qualitative
Types of movies people go to see are an example of which type of data?
Qualitative
Pounds gained by persons in your class during the first month of the semester are an example of which type of data?
Quantitative
Temperatures in degrees Kelvin of various sites on the moon are an example of which type of data?
Quantitative
Widths of the doors in a restaurant are an example of which type of data?
Quantitative
Yards a running back rushes for during a football game are an example of which type of data?
Quantitative
Indicate the level of measurement for the data set described. Number of classes taken in a semester by each student at a college
Ratio
Indicate the level of measurement for the data set described. Number of eight-inch square tiles required to cover any given bathroom floor
Ratio
