Warm-Up 1.2 1. A sample is a part of the population. True or False 2. Is the following a Population or a Sample? A survey of 24 of a company’s 200 employees. 3. Is the following a Population or a Sample? The age of every student in the SV School District. 4. Is the following a Parameter or a Statistic? The average annual salary for 35 of a company’s 1200 accountants is $71,000. Intro Stats Lesson 1.2 Objectives: SSBAT distinguish between qualitative and quantitative data. SSBAT classify data with respect to the 4 levels of measurement (nominal, ordinal, interval, and ratio). Standards: S2.5B Types of Data 1. Qualitative Data Consists of Labels, Attributes, Descriptions Data is observed not measured Examples: Colors, categories, appearances, dogs, etc. Think qualities Types of Data 2. Quantitative Data Consists of numbers or counts Data is measured Think quantities Examples: Length, height, area, speeds, dollar amounts, ages, etc. Determine whether the data are Qualitative or Quantitative. 1. The colors of the automobiles on a car lot 2. The number of seats in a movie theater 3. The numbers on a Jersey 4. A list of house numbers on a street 5. The ages of the employees at a hospital 6. The length of a song 7. The answers to a survey about a student’s favorite class in school. Inherent Zero A zero that implies “NONE” Example: $0 means no money Not an Inherent Zero It is a position on the number line, does not mean that there are “none” Example: 0˚ does not mean No Heat 0˚ is just a position on the Celsius scale therefore it is not an inherent zero Levels of Measurement 1. Nominal Level Qualitative Data only Data that is categorized using names, labels, or qualities No mathematical computations can be made at this level Example: The list of TV stations in Pittsburgh Levels of Measurement 2. Ordinal Level Qualitative or Quantitative Data Data that can be arranged in Order or Rank Differences between data entries are not meaningful The top 5 TV programs for a given week Levels of Measurement 3. Interval Level Quantitative Data only Data that can be ordered and you can calculate a meaningful difference between data entries A zero simply represents a position on a scale – it is not an inherent zero Example: The years that the NY Yankees won the World Series Levels of Measurement 4. Ratio Level Quantitative Data only Data that can be ordered and you can calculate a meaningful difference between data entries A zero is an Inherent Zero – 0 in this category means none “twice as much” has meaning in this category Ex: 2006 American League homerun totals Level of measurement Nominal Ordinal Interval Ratio Put Data in Categories Arrange Data in order Subtract Data Values Determine if one data value is a multiple of another Nominal - Qualitative - Categories only Ordinal - Interval Qualitative or Quantitative - - Can be ranked - Quantitative Ratio - Quantitative - Entries can be expressed as multiples of another Entries can be subtracted to form meaningful differences 0 is a position on a scale - Inherent Zero (0 means None) Determine if each is Nominal, Ordinal, Interval or Ratio 1. Body Temperature 2. Collection of Phone Numbers 3. Heart rate of an athlete 4. The final letter grades (A,B,C,D,F) for students in a Chemistry class Homework Worksheet 1.2