The __________ ___________ or ____________ ____________ __________

1. The __________ ___________or____________ ____________ __________ What is it? Not a graph itself, but a prelude to an important statistical graph

2. The Frequency TableorFrequency Distribution Table What is it? Not a graph itself, but a prelude to an important statistical graph

3. What do Frequency Tables List? A frequency distribution table for quantitative data lists, _____________, the following: 1. All the ______________________ 2. _______________________classes 3. _____________________classes 4. _________________________ classes 5. Grand total ___________________

4. What do Frequency Tables List? A frequency distribution table for quantitative data lists, in table format, the following: 1. All the classes of grouped data 2. Tallies of those classes 3. Frequencies of those classes 4. Relative frequencies of those classes 5. Grand total of # of classes, frequencies and relative frequencies

5. Frequency Table to Histogram What do frequency tables enable statisticians to construct? __________________________

6. Frequency Table to Histogram What do frequency tables enable statisticians to construct? They enable construction of histograms

7. When? When to use a frequency table? When___________________________________________________ that a graph of a distribution _____________________________, or when __________________________.

8. When? When to use a frequency table? When quantitative variables take on so many values (in so great a range or spread) that a graph of a distribution is clearer if nearby values are grouped together, or when you want to draw a histogram.

9. Frequency Distribution Table for Continuous Data What is a class on a frequency table? _____________________________________ What is another name for a class in a frequency table? _____________________________________ Determine these 2 things about Classes before constructing any Frequency Distribution Table: 1. ___________________________________ 2. ____________________________________ 9

10. Frequency Distribution Table for Continuous Data What is a class on a frequency table? One line on a frequency table What is another name for a class in a frequency table? Continuum Determine these 2 things about Classes before constructing any Frequency Distribution Table: 1. Decide the starting point of the first class 2. Choose class widths before tallying begins 10

11. Characteristics of the Classes in Frequency Table • Data is put in _______-___________________ ______________________________________ 2. Each class ____________________________ • Classes are ___________________________ • Classes all have________________________ 4. Classes vary __________________________ _____________________________________

12. Characteristics of the Classes in Frequency Table • Data is put in classes—A class could be 1 number or more than 1 number • Each class represents the same variable • Classes are not overlapping • Classes all have the same width. • Classes vary from 4 to 20, depending on the spread of observations in the data set

13. The Conventions of Writing Classes for Discrete Frequency Tables Rules or Conventions for discrete classes: 1. _________________________________ 2. _________________________________ 3. __________________________________

14. The Conventions of Writing Classes for Discrete Frequency Tables Rules or Conventions for discrete classes: 1. Inequalities are not required if class width = 1 2. If class width >1, use rules for continuous classes 3. Data may never fall into > 1 class

15. The Conventions of Writing Classes for Continuous Frequency Tables Rules or Conventions for continuous classes: 1. _________________________________________ 2. _________________________________________ 3. _________________________________________ 4. _________________________________________ 5. _________________________________________

16. The Conventions of Writing Classes for Continuous Frequency Tables Rules or Conventions for continuous classes: 1. The first inequality ALWAYS is a less than or equal (≤) sign 2. The second inequality is always a less than sign (<) 3. An x is written in between the two signs 4. ‘x’ should be defined 5. Data may NEVER fall into more than one class

17. Other Frequency Table Definitions Class Width A class width is _______________________ ____________________________________ _____________________________________ What is one thing class widths must be? Class widths must ______________________ ______________________________________ Number of Classes Count ________________________________ _____________________________________

18. Other Frequency Table Definitions Class Width A class width is the distance from the first entry on the second line of a frequency table MINUS the first entry on the first line of a frequency table What is one thing class widths must be? Class widths must ALWAYS be consistent for all classes in a frequency table Number of Classes Count the number of lines that have been filled on a frequency table