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    Chapter 1
Sample and Display Data
Section 1-1
Surveys and Sampling Methods
Essential Questions


What are the different sampling methods?

What are biased surveys?



Where you’ll see this:

  Manufacturing, research, marketing, politics
Vocabulary
1. Population:


2. Sample:


3. Biased:


4. Unbiased:
Vocabulary
1. Population: A group that represents the whole of what you are
    collecting data on
2. Sample:


3. Biased:


4. Unbiased:
Vocabulary
1. Population: A group that represents the whole of what you are
    collecting data on
2. Sample: A small part of the population that can represent the whole


3. Biased:


4. Unbiased:
Vocabulary
1. Population: A group that represents the whole of what you are
    collecting data on
2. Sample: A small part of the population that can represent the whole


3. Biased: A result that is gotten when the sample does not represent
    the whole group
4. Unbiased:
Vocabulary
1. Population: A group that represents the whole of what you are
    collecting data on
2. Sample: A small part of the population that can represent the whole


3. Biased: A result that is gotten when the sample does not represent
    the whole group
4. Unbiased: A result that is gotten when the sample does represent
     the whole group
Four Methods of Sampling
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Four Methods of Sampling

     Method               Explanation             Example
                       Equal chance to be Draw names from hat;
 Random Sampling
                           selected        each name in once
                      Particular parts of the Ask students from 3
 Cluster Sampling
                      pop. are chosen from classes to rep. entire
Convenience (Lazy)     Chosen as they are   Ask students who are
    Sampling            readily available     in library pd. 4
                       A pattern is used to Ask every 3rd student
Systematic Sampling
                             choose          that enters doorway
Example 1
 A publisher wants to know which types of books are most popular
with high school students. Listed are three ideas for collecting data.
        Identify the sampling method represented by each.
  a. Dial phone numbers at random across the country and ask to
                        speak to a teenager.

 b. Choose twenty high schools at random across the country and
              survey each student in each school.

c. Give questionnaires one afternoon to all HS students visiting the
         White House on class trips to Washington, DC.
Example 1
 A publisher wants to know which types of books are most popular
with high school students. Listed are three ideas for collecting data.
        Identify the sampling method represented by each.
  a. Dial phone numbers at random across the country and ask to
                        speak to a teenager.
                         Random Sampling
 b. Choose twenty high schools at random across the country and
                survey each student in each school.

c. Give questionnaires one afternoon to all HS students visiting the
         White House on class trips to Washington, DC.
Example 1
 A publisher wants to know which types of books are most popular
with high school students. Listed are three ideas for collecting data.
        Identify the sampling method represented by each.
  a. Dial phone numbers at random across the country and ask to
                        speak to a teenager.
                         Random Sampling
 b. Choose twenty high schools at random across the country and
                survey each student in each school.
                          Cluster Sampling
c. Give questionnaires one afternoon to all HS students visiting the
         White House on class trips to Washington, DC.
Example 1
 A publisher wants to know which types of books are most popular
with high school students. Listed are three ideas for collecting data.
        Identify the sampling method represented by each.
  a. Dial phone numbers at random across the country and ask to
                        speak to a teenager.
                         Random Sampling
 b. Choose twenty high schools at random across the country and
                survey each student in each school.
                          Cluster Sampling
c. Give questionnaires one afternoon to all HS students visiting the
         White House on class trips to Washington, DC.
                      Convenience Sampling
Example 2
The table shows the results of a survey of 300 Americans asked to
              name their favorite spectator sport.
            Sport                       Percent Favorite
          Basketball                           32%
           Baseball                            28%
           Football                            22%
            Other                              6%
            Soccer                             5%
           Tennis                              4%
             Golf                              3%
Example 2
a. How many of those surveyed chose baseball as their favorite sport?



 b. If the survey was unbiased, how many of 5000 Americans might
   be expected to choose soccer as their favorite spectator sport?
Example 2
a. How many of those surveyed chose baseball as their favorite sport?
              300(.28)
 b. If the survey was unbiased, how many of 5000 Americans might
   be expected to choose soccer as their favorite spectator sport?
Example 2
a. How many of those surveyed chose baseball as their favorite sport?
              300(.28) = 84
 b. If the survey was unbiased, how many of 5000 Americans might
   be expected to choose soccer as their favorite spectator sport?
Example 2
a. How many of those surveyed chose baseball as their favorite sport?
              300(.28) = 84 people chose baseball
 b. If the survey was unbiased, how many of 5000 Americans might
   be expected to choose soccer as their favorite spectator sport?
Example 2
a. How many of those surveyed chose baseball as their favorite sport?
              300(.28) = 84 people chose baseball
 b. If the survey was unbiased, how many of 5000 Americans might
   be expected to choose soccer as their favorite spectator sport?

             5000(.05)
Example 2
a. How many of those surveyed chose baseball as their favorite sport?
              300(.28) = 84 people chose baseball
 b. If the survey was unbiased, how many of 5000 Americans might
   be expected to choose soccer as their favorite spectator sport?

             5000(.05) = 250
Example 2
a. How many of those surveyed chose baseball as their favorite sport?
              300(.28) = 84 people chose baseball
 b. If the survey was unbiased, how many of 5000 Americans might
   be expected to choose soccer as their favorite spectator sport?

             5000(.05) = 250 people prefer soccer
Problem Set
Problem Set



                         p. 8 #1-25




“I have found power in the mysteries of thought.” - Euripides

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Integrated 2 Section 1-1

  • 1. Created at wordle.net Chapter 1 Sample and Display Data
  • 2. Section 1-1 Surveys and Sampling Methods
  • 3. Essential Questions What are the different sampling methods? What are biased surveys? Where you’ll see this: Manufacturing, research, marketing, politics
  • 5. Vocabulary 1. Population: A group that represents the whole of what you are collecting data on 2. Sample: 3. Biased: 4. Unbiased:
  • 6. Vocabulary 1. Population: A group that represents the whole of what you are collecting data on 2. Sample: A small part of the population that can represent the whole 3. Biased: 4. Unbiased:
  • 7. Vocabulary 1. Population: A group that represents the whole of what you are collecting data on 2. Sample: A small part of the population that can represent the whole 3. Biased: A result that is gotten when the sample does not represent the whole group 4. Unbiased:
  • 8. Vocabulary 1. Population: A group that represents the whole of what you are collecting data on 2. Sample: A small part of the population that can represent the whole 3. Biased: A result that is gotten when the sample does not represent the whole group 4. Unbiased: A result that is gotten when the sample does represent the whole group
  • 9. Four Methods of Sampling
  • 10. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 11. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 12. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 13. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 14. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 15. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 16. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 17. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 18. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 19. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 20. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 21. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 22. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 23. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 24. Four Methods of Sampling Method Explanation Example Equal chance to be Draw names from hat; Random Sampling selected each name in once Particular parts of the Ask students from 3 Cluster Sampling pop. are chosen from classes to rep. entire Convenience (Lazy) Chosen as they are Ask students who are Sampling readily available in library pd. 4 A pattern is used to Ask every 3rd student Systematic Sampling choose that enters doorway
  • 25. Example 1 A publisher wants to know which types of books are most popular with high school students. Listed are three ideas for collecting data. Identify the sampling method represented by each. a. Dial phone numbers at random across the country and ask to speak to a teenager. b. Choose twenty high schools at random across the country and survey each student in each school. c. Give questionnaires one afternoon to all HS students visiting the White House on class trips to Washington, DC.
  • 26. Example 1 A publisher wants to know which types of books are most popular with high school students. Listed are three ideas for collecting data. Identify the sampling method represented by each. a. Dial phone numbers at random across the country and ask to speak to a teenager. Random Sampling b. Choose twenty high schools at random across the country and survey each student in each school. c. Give questionnaires one afternoon to all HS students visiting the White House on class trips to Washington, DC.
  • 27. Example 1 A publisher wants to know which types of books are most popular with high school students. Listed are three ideas for collecting data. Identify the sampling method represented by each. a. Dial phone numbers at random across the country and ask to speak to a teenager. Random Sampling b. Choose twenty high schools at random across the country and survey each student in each school. Cluster Sampling c. Give questionnaires one afternoon to all HS students visiting the White House on class trips to Washington, DC.
  • 28. Example 1 A publisher wants to know which types of books are most popular with high school students. Listed are three ideas for collecting data. Identify the sampling method represented by each. a. Dial phone numbers at random across the country and ask to speak to a teenager. Random Sampling b. Choose twenty high schools at random across the country and survey each student in each school. Cluster Sampling c. Give questionnaires one afternoon to all HS students visiting the White House on class trips to Washington, DC. Convenience Sampling
  • 29. Example 2 The table shows the results of a survey of 300 Americans asked to name their favorite spectator sport. Sport Percent Favorite Basketball 32% Baseball 28% Football 22% Other 6% Soccer 5% Tennis 4% Golf 3%
  • 30. Example 2 a. How many of those surveyed chose baseball as their favorite sport? b. If the survey was unbiased, how many of 5000 Americans might be expected to choose soccer as their favorite spectator sport?
  • 31. Example 2 a. How many of those surveyed chose baseball as their favorite sport? 300(.28) b. If the survey was unbiased, how many of 5000 Americans might be expected to choose soccer as their favorite spectator sport?
  • 32. Example 2 a. How many of those surveyed chose baseball as their favorite sport? 300(.28) = 84 b. If the survey was unbiased, how many of 5000 Americans might be expected to choose soccer as their favorite spectator sport?
  • 33. Example 2 a. How many of those surveyed chose baseball as their favorite sport? 300(.28) = 84 people chose baseball b. If the survey was unbiased, how many of 5000 Americans might be expected to choose soccer as their favorite spectator sport?
  • 34. Example 2 a. How many of those surveyed chose baseball as their favorite sport? 300(.28) = 84 people chose baseball b. If the survey was unbiased, how many of 5000 Americans might be expected to choose soccer as their favorite spectator sport? 5000(.05)
  • 35. Example 2 a. How many of those surveyed chose baseball as their favorite sport? 300(.28) = 84 people chose baseball b. If the survey was unbiased, how many of 5000 Americans might be expected to choose soccer as their favorite spectator sport? 5000(.05) = 250
  • 36. Example 2 a. How many of those surveyed chose baseball as their favorite sport? 300(.28) = 84 people chose baseball b. If the survey was unbiased, how many of 5000 Americans might be expected to choose soccer as their favorite spectator sport? 5000(.05) = 250 people prefer soccer
  • 38. Problem Set p. 8 #1-25 “I have found power in the mysteries of thought.” - Euripides

Editor's Notes