23 The data represent the time, in minutes, spent reading a political blog in a day. Construct a frequency distribution using 5 classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency? 46 4 48 ← Complete the table, starting with the lowest class limit. (Simplify your answers.) Relative Frequency Class Frequency 7 Midpoint 4.5 0-9 0.35 6 49 36 12 38 10 39 7 2 16 15 3 48 7 38 0 Cumulative Frequency O

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### Frequency Distribution of Time Spent Reading a Political Blog

This table represents the time, in minutes, spent reading a political blog in a day. The data is classified into five different frequency classes. For each class, the table includes the frequency, midpoints, relative frequencies, and cumulative frequencies.

#### Data Points:
- 23, 6, 38, 2, 16, 46, 49, 10, 7, 15, 4, 36, 39, 38, 3, 48, 12, 7, 0, 48

#### Incomplete Table:

| Class  | Frequency | Midpoint | Relative Frequency | Cumulative Frequency |
|--------|-----------|----------|--------------------|----------------------|
| 0 - 9  | 7         | 4.5      | 0.35               | 7                    |
|        |           |          |                    |                      |

### Explanation of Columns:

1. **Class**: The range of time (in minutes) spent reading a political blog.
2. **Frequency**: The number of observations that fall within the particular class.
3. **Midpoint**: The average of the lower and upper boundaries of each class.
4. **Relative Frequency**: The proportion of the total number of observations that fall within the particular class. It is calculated as \( \frac{\text{Frequency}}{\text{Total Frequency}} \).
5. **Cumulative Frequency**: The sum of the frequencies for all classes up to and including the current class.

### Details:

#### Frequency:
- **0 - 9 minutes:** 7 observations
- **Next classes:** Data is yet to be filled.

#### Midpoints:
- **0 - 9 minutes:** (0+9)/2 = 4.5
- **Next classes:** Data is yet to be filled.

#### Relative Frequency:
- **0 - 9 minutes:** 7 / 20 = 0.35 
- **Next classes:** Data is yet to be filled.

#### Cumulative Frequency:
- **0 - 9 minutes:** 7 
- **Next classes:** Data is yet to be filled.

To complete the table, you need to determine the frequencies for the remaining classes, calculate the midpoints, relative frequencies, and update the cumulative frequencies accordingly.
Transcribed Image Text:### Frequency Distribution of Time Spent Reading a Political Blog This table represents the time, in minutes, spent reading a political blog in a day. The data is classified into five different frequency classes. For each class, the table includes the frequency, midpoints, relative frequencies, and cumulative frequencies. #### Data Points: - 23, 6, 38, 2, 16, 46, 49, 10, 7, 15, 4, 36, 39, 38, 3, 48, 12, 7, 0, 48 #### Incomplete Table: | Class | Frequency | Midpoint | Relative Frequency | Cumulative Frequency | |--------|-----------|----------|--------------------|----------------------| | 0 - 9 | 7 | 4.5 | 0.35 | 7 | | | | | | | ### Explanation of Columns: 1. **Class**: The range of time (in minutes) spent reading a political blog. 2. **Frequency**: The number of observations that fall within the particular class. 3. **Midpoint**: The average of the lower and upper boundaries of each class. 4. **Relative Frequency**: The proportion of the total number of observations that fall within the particular class. It is calculated as \( \frac{\text{Frequency}}{\text{Total Frequency}} \). 5. **Cumulative Frequency**: The sum of the frequencies for all classes up to and including the current class. ### Details: #### Frequency: - **0 - 9 minutes:** 7 observations - **Next classes:** Data is yet to be filled. #### Midpoints: - **0 - 9 minutes:** (0+9)/2 = 4.5 - **Next classes:** Data is yet to be filled. #### Relative Frequency: - **0 - 9 minutes:** 7 / 20 = 0.35 - **Next classes:** Data is yet to be filled. #### Cumulative Frequency: - **0 - 9 minutes:** 7 - **Next classes:** Data is yet to be filled. To complete the table, you need to determine the frequencies for the remaining classes, calculate the midpoints, relative frequencies, and update the cumulative frequencies accordingly.
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