83 92 92 91 86 90 97 93 81 81 95 82 85 80 92 Send data to calculator (a) Complete the grouped frequency distribution for the data. (Note that the class width is 5.) (b) Using the classes from part (a), draw the frequency polygon for the data. Note that you can add or remove classes from the figure. Label each class with its midpoint.

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### Grouped Frequency Distribution and Frequency Polygon

#### Data Given:
- Test Scores: 83, 92, 91, 86, 90, 97, 93, 81, 81, 95, 82, 85, 80, 92

#### Instructions:
(a) Complete the grouped frequency distribution for the test scores. Note that the class width is 5.

**Grouped Frequency Distribution Table:**

| Test Scores    | Frequency |
|----------------|-----------|
| 78.5 to 83.5   |           |
| 83.5 to 88.5   |           |
| 88.5 to 93.5   |           |
| 93.5 to 98.5   |           |

(b) Using the classes from part (a), draw the frequency polygon for the data. Label each class with its midpoint.

**Frequency Polygon Explanation:**
- A frequency polygon is a line graph that displays the frequencies of different classes.
- The x-axis represents the test scores, segmented by the midpoints of each class.
- The y-axis represents the frequency of each class.
- Points are plotted at the midpoints of each class and connected with straight lines.

**Visual Description:**
- The graph has axes labeled "Frequency" and "Test scores."
- Midpoints of classes are marked on the x-axis.
- Frequencies are plotted starting from the first class midpoint onward.
  
These instructions help visualize data trends using a frequency polygon, and properly organize data using a grouped frequency distribution table.
Transcribed Image Text:### Grouped Frequency Distribution and Frequency Polygon #### Data Given: - Test Scores: 83, 92, 91, 86, 90, 97, 93, 81, 81, 95, 82, 85, 80, 92 #### Instructions: (a) Complete the grouped frequency distribution for the test scores. Note that the class width is 5. **Grouped Frequency Distribution Table:** | Test Scores | Frequency | |----------------|-----------| | 78.5 to 83.5 | | | 83.5 to 88.5 | | | 88.5 to 93.5 | | | 93.5 to 98.5 | | (b) Using the classes from part (a), draw the frequency polygon for the data. Label each class with its midpoint. **Frequency Polygon Explanation:** - A frequency polygon is a line graph that displays the frequencies of different classes. - The x-axis represents the test scores, segmented by the midpoints of each class. - The y-axis represents the frequency of each class. - Points are plotted at the midpoints of each class and connected with straight lines. **Visual Description:** - The graph has axes labeled "Frequency" and "Test scores." - Midpoints of classes are marked on the x-axis. - Frequencies are plotted starting from the first class midpoint onward. These instructions help visualize data trends using a frequency polygon, and properly organize data using a grouped frequency distribution table.
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