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? Complete the table, starting with the lowest class limit. (Simplify your answers.) Class Frequency Midpoint 46 49 15 4 Relative Frequency 39 31 11 45 48 28 34 21 34 13 46 0 Cumulative Frequency 16 24 40 30

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# Frequency Distribution Table Construction

The data represent the time, in minutes, spent reading a political blog in a day. Construct a frequency distribution using five classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Identify which class has the greatest frequency and which has the least frequency.

**Raw Data:**
```
46, 39, 48, 34, 16
49, 31, 28, 13, 24
15, 11, 34, 46, 40
4, 45, 21, 0, 30
```

**Steps to Complete the Table:**
1. **Class Intervals**: Determine the range of data and divide by the number of classes to create intervals.
2. **Frequency**: Count the number of observations in each class interval.
3. **Midpoint**: Calculate the midpoint of each class interval (average of lower and upper bounds).
4. **Relative Frequency**: Divide the frequency of each class by the total number of observations.
5. **Cumulative Frequency**: Sum the frequencies for each class and all preceding classes.

### Frequency Distribution Table

| Class Interval | Frequency | Midpoint | Relative Frequency | Cumulative Frequency |
|----------------|-----------|----------|--------------------|----------------------|
| 0 - 9          |           |          |                    |                      |
| 10 - 19        |           |          |                    |                      |
| 20 - 29        |           |          |                    |                      |
| 30 - 39        |           |          |                    |                      |
| 40 - 49        |           |          |                    |                      |

**Instructions:**
- Fill in the class intervals starting with the lowest class limit.
- Calculate and input the frequency, midpoint, relative frequency, and cumulative frequency for each class interval.
- Simplify answers where applicable.

This table helps in understanding the distribution of time spent reading a political blog and makes it easier to identify patterns in the dataset. Once the table is complete, it will reveal which class interval has the greatest and least frequency of observations.
Transcribed Image Text:# Frequency Distribution Table Construction The data represent the time, in minutes, spent reading a political blog in a day. Construct a frequency distribution using five classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Identify which class has the greatest frequency and which has the least frequency. **Raw Data:** ``` 46, 39, 48, 34, 16 49, 31, 28, 13, 24 15, 11, 34, 46, 40 4, 45, 21, 0, 30 ``` **Steps to Complete the Table:** 1. **Class Intervals**: Determine the range of data and divide by the number of classes to create intervals. 2. **Frequency**: Count the number of observations in each class interval. 3. **Midpoint**: Calculate the midpoint of each class interval (average of lower and upper bounds). 4. **Relative Frequency**: Divide the frequency of each class by the total number of observations. 5. **Cumulative Frequency**: Sum the frequencies for each class and all preceding classes. ### Frequency Distribution Table | Class Interval | Frequency | Midpoint | Relative Frequency | Cumulative Frequency | |----------------|-----------|----------|--------------------|----------------------| | 0 - 9 | | | | | | 10 - 19 | | | | | | 20 - 29 | | | | | | 30 - 39 | | | | | | 40 - 49 | | | | | **Instructions:** - Fill in the class intervals starting with the lowest class limit. - Calculate and input the frequency, midpoint, relative frequency, and cumulative frequency for each class interval. - Simplify answers where applicable. This table helps in understanding the distribution of time spent reading a political blog and makes it easier to identify patterns in the dataset. Once the table is complete, it will reveal which class interval has the greatest and least frequency of observations.
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