1. What is the class width for a frequency distribution with 7 classes? 2. Find the class limits. 3. Find the class boundaries. 4. Find the frequencies.
1. What is the class width for a frequency distribution with 7 classes? 2. Find the class limits. 3. Find the class boundaries. 4. Find the frequencies.
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Author:Amos Gilat
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1. What is the class width for a frequency distribution with 7 classes?
2. Find the class limits.
3. Find the class boundaries.
4. Find the frequencies.
![**Salaries of Governors**
Below are the salaries (in dollars) of the governors of 21 randomly selected states. Construct a grouped frequency distribution with 6 classes.
- $112,895
- $117,312
- $140,533
- $110,000
- $115,331
- $95,000
- $177,500
- $120,303
- $139,590
- $150,000
- $173,987
- $130,000
- $133,821
- $144,269
- $142,542
- $150,000
- $145,885
- $105,000
- $93,600
- $166,891
- $130,273
To construct a grouped frequency distribution, follow these steps:
1. **Determine the Range of Data**:
Find the minimum and maximum salaries.
- Minimum salary: $93,600
- Maximum salary: $177,500
Range = Maximum - Minimum = $177,500 - $93,600 = $83,900
2. **Select the Number of Classes**:
Given: 6 classes.
3. **Calculate the Class Width**:
Class width = Range / Number of classes = $83,900 / 6 ≈ $13,983.33
For convenience, round the class width to a reasonable value. Here, we round it to $14,000.
4. **Construct the Classes**:
Start with the minimum salary and create six classes, each with a width of $14,000.
Example:
- Class 1: $93,600 - $107,599
- Class 2: $107,600 - $121,599
- Class 3: $121,600 - $135,599
- Class 4: $135,600 - $149,599
- Class 5: $149,600 - $163,599
- Class 6: $163,600 - $177,599
5. **Tally the Frequencies**:
Count the number of salaries that fall into each class.
After tallying the entries within each class, you would create a table summarizing the frequency distribution. This table helps in creating further analysis or visual representations like histograms.
Here is an example of how the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc6fbff9-4759-45b9-9f61-27046377aa96%2F26b8d81d-9c9d-407a-9160-88123cd4bf10%2Fiau6j38_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Salaries of Governors**
Below are the salaries (in dollars) of the governors of 21 randomly selected states. Construct a grouped frequency distribution with 6 classes.
- $112,895
- $117,312
- $140,533
- $110,000
- $115,331
- $95,000
- $177,500
- $120,303
- $139,590
- $150,000
- $173,987
- $130,000
- $133,821
- $144,269
- $142,542
- $150,000
- $145,885
- $105,000
- $93,600
- $166,891
- $130,273
To construct a grouped frequency distribution, follow these steps:
1. **Determine the Range of Data**:
Find the minimum and maximum salaries.
- Minimum salary: $93,600
- Maximum salary: $177,500
Range = Maximum - Minimum = $177,500 - $93,600 = $83,900
2. **Select the Number of Classes**:
Given: 6 classes.
3. **Calculate the Class Width**:
Class width = Range / Number of classes = $83,900 / 6 ≈ $13,983.33
For convenience, round the class width to a reasonable value. Here, we round it to $14,000.
4. **Construct the Classes**:
Start with the minimum salary and create six classes, each with a width of $14,000.
Example:
- Class 1: $93,600 - $107,599
- Class 2: $107,600 - $121,599
- Class 3: $121,600 - $135,599
- Class 4: $135,600 - $149,599
- Class 5: $149,600 - $163,599
- Class 6: $163,600 - $177,599
5. **Tally the Frequencies**:
Count the number of salaries that fall into each class.
After tallying the entries within each class, you would create a table summarizing the frequency distribution. This table helps in creating further analysis or visual representations like histograms.
Here is an example of how the
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