1. Warm-Up 1.2 A sample is a part of the population. True or False
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 accountants is $71,000.

2. SSBAT distinguish between qualitative and quantitative data.
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

3. Types of Data
Qualitative Data
 Consists of Labels, Attributes, Descriptions
 Data is observed not measured
 Examples: Colors, categories, appearances, dogs, etc.
 Think qualities

4.  Consists of numbers or counts  Data is measured  Think quantities
Types of Data
Quantitative Data
 Consists of numbers or counts
 Data is measured
 Think quantities
 Examples: Length, height, area, speeds, dollar amounts, ages, etc.
Qualitative vs Quantitative Data

5. The colors of the automobiles on a car lot  Qualitative
Determine whether the data are Qualitative or Quantitative.
The colors of the automobiles on a car lot
 Qualitative
The number of seats in a movie theater
 Quantitative
The numbers on a Jersey
 Qualitative

6. 4. A list of house numbers on a street
 Qualitative
5. The ages of the employees at a hospital
 Quantitative
The length of a song
The answers to a survey about a student’s favorite class in school.
 Qualitative

7. 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 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

8. Levels of Measurement
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

9. 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

10. 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
- Temperature

11. Levels of Measurement
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: American League homerun totals

12. Determine if one data value is a multiple of another
Level of measurement
Put Data in Categories
Arrange Data in order
Subtract Data Values
Determine if one data value is a multiple of another
Nominal
Ordinal
Interval
Ratio
Yes No
Yes No
Yes No
Yes

13. Nominal Ordinal Interval Ratio
Teacher
Nominal
Ordinal
Interval
Ratio
Qualitative
Categories only
Qualitative or Quantitative
Can be ranked/ordered
- Entries cannot be subtracted to form a meaningful differences
Quantitative
Can be ordered
Entries can be subtracted to form meaningful differences
0 is a position on a scale
Can be subtracted
Entries can be expressed as a multiple of another
(twice as much)
Inherent Zero
(0 means none)

14. Determine if each is Nominal, Ordinal, Interval or Ratio
Body Temperature
 Quantitative therefore it is Interval or Ratio
 0 does not mean none so therefore it is Interval
Answer: Interval Level

15. Collection of Phone Numbers
 Qualitative Data therefore Nominal or Ordinal
 Can’t order the numbers
Answer: Nominal Level

16. 3. Heart rate of an athlete
 Quantitative Data so interval or ratio
 0 means none
Answer: Ratio

17. 4. The final letter grades (A,B,C,D,F) for students in a
4. The final letter grades (A,B,C,D,F) for students in a Chemistry class
 Qualitative (nominal or ordinal)
 Can be ordered
Answer: Ordinal

18. Homework
Worksheet 1.2

19. Students will complete project 1.2.
Lesson 1.2 – Day 2
Objectives:
SSBAT classify data with respect to the 4 levels of measurement (nominal, ordinal, interval, and ratio).
Students will complete project 1.2.

20. Have students open email
Student will find the following in their
Introductory Statistics
1.2 Project – Levels of Measurement
Task
Find a chart, table, list, graph or some other display of data that represents each level of measurement: Nominal, Ordinal, Interval, Ratio
1.  Copy and paste each display that you find in your return
2. Label each display that you find as Nominal, Ordinal, Interval, or Ratio.
3. Explain why you labeled each as Nominal, Ordinal, Interval or Ratio.
4. Include your 4 labeled examples and explanations in 1
Have students begin working on project