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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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
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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