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7-4

7-4. Statistical Graphs. WHAT YOU WILL LEARN. • To display data into: Histograms Frequency polygons Stem-and-leaf displays. Circle Graphs. Circle graphs (also known as pie charts) are often used to compare parts of one or more components of the whole to the whole. Example.

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7-4

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  1. 7-4 Statistical Graphs

  2. WHAT YOU WILL LEARN • To display data into: Histograms Frequency polygons Stem-and-leaf displays

  3. Circle Graphs • Circle graphs (also known as pie charts) are often used to compare parts of one or more components of the whole to the whole.

  4. Example • According to a recent hospital survey of 200 patients, the following table indicates how often hospitals used four different kinds of painkillers. Use the information to construct a circle graph illustrating the percent each painkiller was used. Aspirin 56 Ibuprofen 104 Acetaminophen 16 Other 24 200

  5. Painkiller Number of Patients Percent of Total Measure of Central Angle Aspirin 56 0.28  360 = 100.8 Ibuprofen 104 0.52  360 = 187.2 Acetaminophen 16 0.08  360 = 28.8 Other 24 0.12  360 = 43.2 Total 200 100% 360 Solution • Determine the measure of the corresponding central angle.

  6. Hospital Painkiller Use Ibuprofen 52% Aspirin 28% Other Acetaminophen 12% 8% Solution (continued) • Use a protractor to construct a circle graph and label it properly.

  7. # of pets Frequency 0 6 1 10 2 8 3 4 4 2 Histogram • A histogram is a graph with observed values on its horizontal scale and frequencies on it vertical scale. • Example: Construct a histogram of the frequency distribution.

  8. # of pets Frequency 0 6 1 10 2 8 3 4 4 2 Solution

  9. Frequency Polygon • A frequency polygon is a line graph with observed values on its horizontal scale and frequencies on it vertical scale.

  10. Stem-and-Leaf Display • A stem-and-leaf display is a tool that organizes and groups the data while allowing us to see the actual values that make up the data. • The left group of digits is called the stem. • The right group of digits is called the leaf.

  11. 12 18 3 8 12 25 21 3 15 4 17 27 43 21 16 12 26 35 14 9 Example • The table below indicates the number of miles 20 workers have to drive to work. Construct a stem-and-leaf display.

  12. Data Stem-and-Leaf 0 3 3 4 8 9 12 18 3 8 12 25 21 3 15 4 1 2 2 2 4 5 6 7 8 17 27 43 21 16 2 1 1 5 6 7 12 26 35 14 9 3 5 4 3 Solution

  13. Frequency Frequency Frequency Frequency Class Class Class Class Construct a histogram of the frequency distribution. a. c. b. d.

  14. Frequency Frequency Frequency Frequency Class Class Class Class Construct a histogram of the frequency distribution. a. c. b. d.

  15. Frequency Frequency Frequency Frequency Class Class Class Class Construct a frequency polygon of the distribution. a. c. b. d.

  16. Frequency Frequency Frequency Frequency Class Class Class Class Construct a frequency polygon of the distribution. a. c. b. d.

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