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Chapter 2.1

Chapter 2.1. Organizing Data. Raw Data – original form. Distribution of Blood Types of 25 army inductees. Frequency Distribution. A frequency distribution is the organization of raw data in table form, using classes and frequencies.

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Chapter 2.1

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  1. Chapter 2.1 Organizing Data

  2. Raw Data – original form Distribution of Blood Types of 25 army inductees

  3. Frequency Distribution • A frequency distribution is the organization of raw data in table form, using classes and frequencies. • Each raw data value is placed into a quantitative or qualitative category called a class. • The frequency of a class then is the number of data values contained in a specific class.

  4. Categorical Frequency Distributions • The categorical frequency distribution is used for data that can be placed in specific categories (nominal and ordinal)

  5. Frequency Table – Blood Types

  6. Try it! – Pg. 102 #1

  7. Grouped frequency Distributions • When the range of the data is large, the data must be grouped into classes that are more than one unit in width, in what is called a grouped frequency distribution. • Class limits – upper class limit, lower class limit • Class width – range • Class boundaries are used to separate the classes so that there are no gaps in the frequency distribution

  8. About classes….. • There should be between 5 and 20 classes • It is preferable, but not necessary that the class width be an odd number. This ensures that the midpoint of each class (the class midpoint) has the same place value as the data • The classes must be mutually exclusive • The classes must be continuous • The classes must be exhaustive • The classes must be equal in width

  9. Ages of the 50 wealthiest people in the world: Lower Class Limit: Upper class Limit: Class width: Class limits:

  10. Create a frequency table for the 50 wealthiest people in the world using 8 classes

  11. Create a grouped frequency distribution for the data using 7 classes: These data represent the record high temperatures in degrees Fahrenheit for each of the fifty states

  12. Frequency Table: High Temperatures

  13. Ungrouped Frequency Distribution • Used when the range of the data values is relatively small. Uses single data values for each class: • The data shown represents the number of miles per gallon that 30 selected SUVs obtained in city driving

  14. Frequency Table: MPG of SUVs

  15. Cumulative Frequency • A cumulative frequency distribution is a distribution that shows the number of data values less than or equal to a specific value (usually an upper boundary)

  16. Cumulative Frequency: MPG of SUVs

  17. Try it! • Pg. 45 #1-7

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