Section 1.2 Data Classifications HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2008 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved.

QualitativeQuantitative Descriptions and labels Counts and measurements Qualitative vs. Quantitative: Introduction to Statistics 1.2 Data Classifications HAWKES LEARNING SYSTEMS math courseware specialists

The weights of members of the football team. Quantitative The flavors of Ben and Jerry’s Ice Cream. Qualitative The jersey numbers of a women’s basketball team. Qualitative Student ID numbers Qualitative Classify as Qualitative or Quantitative: Introduction to Statistics 1.2 Data Classifications HAWKES LEARNING SYSTEMS math courseware specialists

QualitativeQuantitative Continuous Usually measurements Continuous vs. Discrete: Introduction to Statistics 1.2 Data Classifications HAWKES LEARNING SYSTEMS math courseware specialists DISCRETE Usually counts of things

The temperature in Fahrenheit of cities in North Mississippi. Continuous The number of rooms in a house. Discrete The number of peanuts in a jar. Discrete The height of a door in inches. Continuous Classify as discrete or continuous: Introduction to Statistics 1.2 Data Classifications HAWKES LEARNING SYSTEMS math courseware specialists

Levels of Measurement Nominal Names Ordinal Order Interval 0 is a placeholder Ratio 0 means the absence of something Introduction to Statistics 1.2 Data Classifications HAWKES LEARNING SYSTEMS math courseware specialists

Levels of Measurement Nominal Names Introduction to Statistics 1.2 Data Classifications HAWKES LEARNING SYSTEMS math courseware specialists NOMINAL – Names, Categories Calculations are not applicable. Example: Favorite Pizza Topping

Levels of Measurement Nominal Names Ordinal Order Introduction to Statistics 1.2 Data Classifications HAWKES LEARNING SYSTEMS math courseware specialists ORDINAL – Can be arranged in a meaningful order But arithmetic calculations are not applicable. EXAMPLE – The seat number on your admission ticket to an event.

Levels of Measurement Nominal Names Ordinal Order Interval 0 is a placeholder Introduction to Statistics 1.2 Data Classifications HAWKES LEARNING SYSTEMS math courseware specialists INTERVAL – 0 might be present but it doesn’t mean the absence of something. Addition & Subtraction okay. Multiplication & Division not applicable EXAMPLES: Fahrenheit temps, Certain exam scores (like IQ test), Calendar dates

Levels of Measurement Nominal Names Ordinal Order Interval 0 is a placeholder Ratio 0 means the absence of something Introduction to Statistics 1.2 Data Classifications HAWKES LEARNING SYSTEMS math courseware specialists RATIO – Zero really means the absence of something Multiplication and Division make sense. EXAMPLES: Kelvin temperature, Price of a product, Time to run a race

Today’s high temperature (in Fahrenheit) for varying cities across the U.S. Quantitative – Interval The colors contained in a box of crayons. Qualitative – Nominal The boiling point (in Kelvin’s) for varying chemical compounds. Quantitative – Ratio The individual page numbers at the bottom of each page in the statistics book. Quantitative – Ordinal Determine the level of measurement: Introduction to Statistics 1.2 Data Classifications HAWKES LEARNING SYSTEMS math courseware specialists