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Warm-Up:

Read page 5 in your textbook
Chapter 1:
Exploring Data
Chapter 1:
Exploring Data
Section 1.1 Tables and Graphs
Essential Question:
Essential Question:


 What do we need to consider when
 reading a table?
Vocabulary
Vocabulary
Statistics:
Vocabulary
Statistics:   branch of math; collection, organizing, analysis,
                     and interpretation of information
Vocabulary
Statistics:   branch of math; collection, organizing, analysis,
                     and interpretation of information

Data:
Vocabulary
Statistics:    branch of math; collection, organizing, analysis,
                       and interpretation of information

Data:   information that is collected
Vocabulary
Statistics:    branch of math; collection, organizing, analysis,
                       and interpretation of information

Data:   information that is collected


Variable:
Vocabulary
Statistics:    branch of math; collection, organizing, analysis,
                       and interpretation of information

Data:   information that is collected


Variable:    a certain characteristic of a person or thing that is
                               being examined
Vocabulary
Statistics:    branch of math; collection, organizing, analysis,
                       and interpretation of information

Data:   information that is collected


Variable:    a certain characteristic of a person or thing that is
                               being examined

Population:
Vocabulary
 Statistics:     branch of math; collection, organizing, analysis,
                         and interpretation of information

Data:     information that is collected


Variable:      a certain characteristic of a person or thing that is
                                 being examined

Population: the set of ALL individuals or objects you want
                                     to study
Sample:
Sample:   the part ACTUALLY studied (a subset of the population)
Sample:   the part ACTUALLY studied (a subset of the population)

Survey:
Sample:   the part ACTUALLY studied (a subset of the population)

Survey:   gathering facts or opinions through an interview
                         or questionnaire
Sample:   the part ACTUALLY studied (a subset of the population)

Survey:   gathering facts or opinions through an interview
                         or questionnaire
Census:
Sample:   the part ACTUALLY studied (a subset of the population)

Survey:   gathering facts or opinions through an interview
                         or questionnaire
Census:   survey of the entire population
          (U.S. Census - every 10 years
Sample:   the part ACTUALLY studied (a subset of the population)

Survey:   gathering facts or opinions through an interview
                         or questionnaire
Census:   survey of the entire population
          (U.S. Census - every 10 years

Random Sampling:
Sample:   the part ACTUALLY studied (a subset of the population)

Survey:   gathering facts or opinions through an interview
                         or questionnaire
Census:   survey of the entire population
          (U.S. Census - every 10 years

Random Sampling:          every member of the population has
                           an equal chance of being chosen
Example 1
Example 1
A physician takes a biopsy of a suspicious growth to check for
  malignancy. Identify the variable, population, and sample.
Example 1
A physician takes a biopsy of a suspicious growth to check for
  malignancy. Identify the variable, population, and sample.


   Variable:
Example 1
A physician takes a biopsy of a suspicious growth to check for
  malignancy. Identify the variable, population, and sample.


   Variable:


  Population:
Example 1
A physician takes a biopsy of a suspicious growth to check for
  malignancy. Identify the variable, population, and sample.


   Variable:


  Population:

   Sample:
Example 1
A physician takes a biopsy of a suspicious growth to check for
  malignancy. Identify the variable, population, and sample.


   Variable:   (ask: what is being studied?)




  Population:

   Sample:
Example 1
A physician takes a biopsy of a suspicious growth to check for
  malignancy. Identify the variable, population, and sample.


   Variable:   (ask: what is being studied?)

                     the condition of the growth
  Population:

   Sample:
Example 1
A physician takes a biopsy of a suspicious growth to check for
  malignancy. Identify the variable, population, and sample.


   Variable:   (ask: what is being studied?)

                     the condition of the growth
  Population: entire suspicious growth

   Sample:
Example 1
A physician takes a biopsy of a suspicious growth to check for
  malignancy. Identify the variable, population, and sample.


   Variable:   (ask: what is being studied?)

                     the condition of the growth
  Population: entire suspicious growth

   Sample:      small proportion taken for the biopsy
When reading a table...
1. What is being presented?



2. Is the data trustworthy?




3. What conclusions can you draw from the data?
When reading a table...
1. What is being presented?
         Be aware of what you are looking at

2. Is the data trustworthy?




3. What conclusions can you draw from the data?
When reading a table...
1. What is being presented?
         Be aware of what you are looking at

2. Is the data trustworthy?
      Consider the data source, accuracy of data,
           and time when data was collected
3. What conclusions can you draw from the data?
When reading a table...
1. What is being presented?
         Be aware of what you are looking at

2. Is the data trustworthy?
      Consider the data source, accuracy of data,
           and time when data was collected
3. What conclusions can you draw from the data?
       Some conclusions can be made right away,
       others may need to be calculated or found
Example 2
             Refer to the table on page 7.


How many times as likely was a family to have an income
 of less than $15,000 if the head of the household had
some high school, but no diploma rather than graduated
                  from high school?
What do we do?
What do we do?
  Some High School
What do we do?
  Some High School   Graduated from High School
What do we do?
  Some High School    Graduated from High School
    28.2% + 14.5% =
What do we do?
  Some High School    Graduated from High School
    28.2% + 14.5% =


        42.7%
What do we do?
  Some High School    Graduated from High School
    28.2% + 14.5% =          13.6% + 10.2% =


        42.7%
What do we do?
  Some High School    Graduated from High School
    28.2% + 14.5% =          13.6% + 10.2% =


        42.7%                    23.8%
What do we do?
  Some High School        Graduated from High School
    28.2% + 14.5% =               13.6% + 10.2% =


        42.7%                         23.8%




 Almost TWICE as likely to have an income of less than
  $15,000 than a household headed by a high school
                      graduate
Bar Graphs:




Circle Graphs:
Bar Graphs:
       A graph that uses bars to represent the data




Circle Graphs:
Bar Graphs:
        A graph that uses bars to represent the data




Circle Graphs:
         A graph that is made out of a circle.
 Each section is made up of a percentage of the whole
Bar Graphs:
        A graph that uses bars to represent the data




Circle Graphs:
         A graph that is made out of a circle.
 Each section is made up of a percentage of the whole

 Circle graph gives a quick visual summary of the data
Example 3
     Continent                    Area 1000 mi2    Population
         Africa                           11,700     (mill)
                                                      878
     Antarctica                           5,400        0
           Asia                          17,400      3,340
      Australia                           3,300       29
        Europe                            3,800       714
 North America                           9,400        292
 Central & South America                  6,900       481
Source: 1996 World Almanac and Book of Facts
3a. Construct a circle graph of the areas
3a. Construct a circle graph of the areas

  3b. If the areas of the continents were
measured in   km2,   would the circle graph for
   area be different? Why or why not?
3a. Construct a circle graph of the areas

  3b. If the areas of the continents were
measured in   km2,   would the circle graph for
   area be different? Why or why not?

                       No
3a. Construct a circle graph of the areas

  3b. If the areas of the continents were
measured in   km2,   would the circle graph for
   area be different? Why or why not?

                       No
              It is the same ratio.
       Here the units do not matter
With our technology, circle graphs are usually made on
                     spreadsheets

3c. Construct a circle graph of the populations using Excel
With our technology, circle graphs are usually made on
                     spreadsheets

3c. Construct a circle graph of the populations using Excel


 3d. How do the circle graphs indicate which continents
            have more people for their area?
With our technology, circle graphs are usually made on
                     spreadsheets

3c. Construct a circle graph of the populations using Excel


 3d. How do the circle graphs indicate which continents
            have more people for their area?


 Continents with more people for their area have larger
  sectors on the population graph than the area graph
Homework: page 10-11 #1-24

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FST 1.1

  • 1. Warm-Up: Read page 5 in your textbook
  • 2.
  • 4. Chapter 1: Exploring Data Section 1.1 Tables and Graphs
  • 5.
  • 7. Essential Question: What do we need to consider when reading a table?
  • 8.
  • 11. Vocabulary Statistics: branch of math; collection, organizing, analysis, and interpretation of information
  • 12. Vocabulary Statistics: branch of math; collection, organizing, analysis, and interpretation of information Data:
  • 13. Vocabulary Statistics: branch of math; collection, organizing, analysis, and interpretation of information Data: information that is collected
  • 14. Vocabulary Statistics: branch of math; collection, organizing, analysis, and interpretation of information Data: information that is collected Variable:
  • 15. Vocabulary Statistics: branch of math; collection, organizing, analysis, and interpretation of information Data: information that is collected Variable: a certain characteristic of a person or thing that is being examined
  • 16. Vocabulary Statistics: branch of math; collection, organizing, analysis, and interpretation of information Data: information that is collected Variable: a certain characteristic of a person or thing that is being examined Population:
  • 17. Vocabulary Statistics: branch of math; collection, organizing, analysis, and interpretation of information Data: information that is collected Variable: a certain characteristic of a person or thing that is being examined Population: the set of ALL individuals or objects you want to study
  • 18.
  • 20. Sample: the part ACTUALLY studied (a subset of the population)
  • 21. Sample: the part ACTUALLY studied (a subset of the population) Survey:
  • 22. Sample: the part ACTUALLY studied (a subset of the population) Survey: gathering facts or opinions through an interview or questionnaire
  • 23. Sample: the part ACTUALLY studied (a subset of the population) Survey: gathering facts or opinions through an interview or questionnaire Census:
  • 24. Sample: the part ACTUALLY studied (a subset of the population) Survey: gathering facts or opinions through an interview or questionnaire Census: survey of the entire population (U.S. Census - every 10 years
  • 25. Sample: the part ACTUALLY studied (a subset of the population) Survey: gathering facts or opinions through an interview or questionnaire Census: survey of the entire population (U.S. Census - every 10 years Random Sampling:
  • 26. Sample: the part ACTUALLY studied (a subset of the population) Survey: gathering facts or opinions through an interview or questionnaire Census: survey of the entire population (U.S. Census - every 10 years Random Sampling: every member of the population has an equal chance of being chosen
  • 27.
  • 29. Example 1 A physician takes a biopsy of a suspicious growth to check for malignancy. Identify the variable, population, and sample.
  • 30. Example 1 A physician takes a biopsy of a suspicious growth to check for malignancy. Identify the variable, population, and sample. Variable:
  • 31. Example 1 A physician takes a biopsy of a suspicious growth to check for malignancy. Identify the variable, population, and sample. Variable: Population:
  • 32. Example 1 A physician takes a biopsy of a suspicious growth to check for malignancy. Identify the variable, population, and sample. Variable: Population: Sample:
  • 33. Example 1 A physician takes a biopsy of a suspicious growth to check for malignancy. Identify the variable, population, and sample. Variable: (ask: what is being studied?) Population: Sample:
  • 34. Example 1 A physician takes a biopsy of a suspicious growth to check for malignancy. Identify the variable, population, and sample. Variable: (ask: what is being studied?) the condition of the growth Population: Sample:
  • 35. Example 1 A physician takes a biopsy of a suspicious growth to check for malignancy. Identify the variable, population, and sample. Variable: (ask: what is being studied?) the condition of the growth Population: entire suspicious growth Sample:
  • 36. Example 1 A physician takes a biopsy of a suspicious growth to check for malignancy. Identify the variable, population, and sample. Variable: (ask: what is being studied?) the condition of the growth Population: entire suspicious growth Sample: small proportion taken for the biopsy
  • 37. When reading a table... 1. What is being presented? 2. Is the data trustworthy? 3. What conclusions can you draw from the data?
  • 38. When reading a table... 1. What is being presented? Be aware of what you are looking at 2. Is the data trustworthy? 3. What conclusions can you draw from the data?
  • 39. When reading a table... 1. What is being presented? Be aware of what you are looking at 2. Is the data trustworthy? Consider the data source, accuracy of data, and time when data was collected 3. What conclusions can you draw from the data?
  • 40. When reading a table... 1. What is being presented? Be aware of what you are looking at 2. Is the data trustworthy? Consider the data source, accuracy of data, and time when data was collected 3. What conclusions can you draw from the data? Some conclusions can be made right away, others may need to be calculated or found
  • 41. Example 2 Refer to the table on page 7. How many times as likely was a family to have an income of less than $15,000 if the head of the household had some high school, but no diploma rather than graduated from high school?
  • 42. What do we do?
  • 43. What do we do? Some High School
  • 44. What do we do? Some High School Graduated from High School
  • 45. What do we do? Some High School Graduated from High School 28.2% + 14.5% =
  • 46. What do we do? Some High School Graduated from High School 28.2% + 14.5% = 42.7%
  • 47. What do we do? Some High School Graduated from High School 28.2% + 14.5% = 13.6% + 10.2% = 42.7%
  • 48. What do we do? Some High School Graduated from High School 28.2% + 14.5% = 13.6% + 10.2% = 42.7% 23.8%
  • 49. What do we do? Some High School Graduated from High School 28.2% + 14.5% = 13.6% + 10.2% = 42.7% 23.8% Almost TWICE as likely to have an income of less than $15,000 than a household headed by a high school graduate
  • 51. Bar Graphs: A graph that uses bars to represent the data Circle Graphs:
  • 52. Bar Graphs: A graph that uses bars to represent the data Circle Graphs: A graph that is made out of a circle. Each section is made up of a percentage of the whole
  • 53. Bar Graphs: A graph that uses bars to represent the data Circle Graphs: A graph that is made out of a circle. Each section is made up of a percentage of the whole Circle graph gives a quick visual summary of the data
  • 54. Example 3 Continent Area 1000 mi2 Population Africa 11,700 (mill) 878 Antarctica 5,400 0 Asia 17,400 3,340 Australia 3,300 29 Europe 3,800 714 North America 9,400 292 Central & South America 6,900 481 Source: 1996 World Almanac and Book of Facts
  • 55. 3a. Construct a circle graph of the areas
  • 56. 3a. Construct a circle graph of the areas 3b. If the areas of the continents were measured in km2, would the circle graph for area be different? Why or why not?
  • 57. 3a. Construct a circle graph of the areas 3b. If the areas of the continents were measured in km2, would the circle graph for area be different? Why or why not? No
  • 58. 3a. Construct a circle graph of the areas 3b. If the areas of the continents were measured in km2, would the circle graph for area be different? Why or why not? No It is the same ratio. Here the units do not matter
  • 59. With our technology, circle graphs are usually made on spreadsheets 3c. Construct a circle graph of the populations using Excel
  • 60. With our technology, circle graphs are usually made on spreadsheets 3c. Construct a circle graph of the populations using Excel 3d. How do the circle graphs indicate which continents have more people for their area?
  • 61. With our technology, circle graphs are usually made on spreadsheets 3c. Construct a circle graph of the populations using Excel 3d. How do the circle graphs indicate which continents have more people for their area? Continents with more people for their area have larger sectors on the population graph than the area graph