Use the frequency distribution shown below to construct an expanded frequency distribution. High Temperatures (°F) Class 20-30 31-41 42-52 53-63 64-74 75-85 86-96 D Frequency, f 17 44 67 68 79 67 23 Complete the table below. High Temperatures (°F) (Round to the nearest hundredth as needed.) Relative frequency Cumulative frequency Class Frequency, f Midpoint 20-30 17

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**Using Frequency Distribution to Construct an Expanded Frequency Distribution**

The table below represents high temperatures (°F) with their corresponding frequencies:

| Class   | Frequency, f |
|---------|--------------|
| 20-30   | 17           |
| 31-41   | 44           |
| 42-52   | 67           |
| 53-63   | 68           |
| 64-74   | 79           |
| 75-85   | 67           |
| 86-96   | 23           |

**Complete the Table Below:**

High Temperatures (°F)

*(Round to the nearest hundredth as needed.)*

| Class  | Frequency, f | Midpoint | Relative Frequency | Cumulative Frequency |
|--------|--------------|----------|--------------------|----------------------|
| 20-30  | 17           |          |                    |                      |

**Explanation of Components:**

- **Midpoint:** The average of the upper and lower bounds of each class interval.
- **Relative Frequency:** The proportion of the total frequency that falls within each class. Calculated as \( \frac{\text{Frequency of Class}}{\text{Total Frequency}} \).
- **Cumulative Frequency:** The running total of frequencies up to the upper boundary of each class interval.
Transcribed Image Text:**Using Frequency Distribution to Construct an Expanded Frequency Distribution** The table below represents high temperatures (°F) with their corresponding frequencies: | Class | Frequency, f | |---------|--------------| | 20-30 | 17 | | 31-41 | 44 | | 42-52 | 67 | | 53-63 | 68 | | 64-74 | 79 | | 75-85 | 67 | | 86-96 | 23 | **Complete the Table Below:** High Temperatures (°F) *(Round to the nearest hundredth as needed.)* | Class | Frequency, f | Midpoint | Relative Frequency | Cumulative Frequency | |--------|--------------|----------|--------------------|----------------------| | 20-30 | 17 | | | | **Explanation of Components:** - **Midpoint:** The average of the upper and lower bounds of each class interval. - **Relative Frequency:** The proportion of the total frequency that falls within each class. Calculated as \( \frac{\text{Frequency of Class}}{\text{Total Frequency}} \). - **Cumulative Frequency:** The running total of frequencies up to the upper boundary of each class interval.
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