Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. B class limit of 3.970 in., and use a class width of 0.010 in. The screws were labeled as having a length of Click on icon to view the data. ... Complete the frequency distribution below. Length (in.) Frequency 3.970- (Type integers or decimals rounded to the nearest thousandth as needed.) Data table I I

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### Frequency Distribution Table Construction for Screw Lengths

**Instructions:**
Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. Begin with a lower class limit of 3.970 inches, and use a class width of 0.010 inches. The screws were labeled as having a length of 4 inches.

**Data:**
The data table provided contains the following screw lengths (in inches):
```
4.002, 4.007, 4.003, 4.002, 3.982, 3.993, 3.995, 3.974, 4.009, 4.001,
4.003, 3.995, 3.996, 3.987, 3.995, 4.007, 3.999, 3.998, 3.993, 4.014,
3.996, 4.015, 4.008, 4.002, 3.995, 3.983, 4.001, 4.001, 4.008, 3.991
```

**Frequency Distribution Table:**

```
Complete the frequency distribution below.

Length (in.)       Frequency
3.970 - 3.979      [   ]
3.980 - 3.989      [   ]
3.990 - 3.999      [   ]
4.000 - 4.009      [   ]
4.010 - 4.019      [   ]
```

**Step-by-Step Explanation:**
1. **Determine Class Intervals:**
   - Start from 3.970 inches.
   - Add class width 0.010 inches to each subsequent class:
     - First class: 3.970 - 3.979 
     - Second class: 3.980 - 3.989
     - Third class: 3.990 - 3.999
     - Fourth class: 4.000 - 4.009
     - Fifth class: 4.010 - 4.019

2. **Tally the Data:**
   - Count the number of screw lengths that fall within each class interval.
   - Enter these counts in the frequency column.

**Graphical Representation:**
Normally, a histogram or bar graph would be created to visually represent the frequency distribution. Each bar would represent a
Transcribed Image Text:### Frequency Distribution Table Construction for Screw Lengths **Instructions:** Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. Begin with a lower class limit of 3.970 inches, and use a class width of 0.010 inches. The screws were labeled as having a length of 4 inches. **Data:** The data table provided contains the following screw lengths (in inches): ``` 4.002, 4.007, 4.003, 4.002, 3.982, 3.993, 3.995, 3.974, 4.009, 4.001, 4.003, 3.995, 3.996, 3.987, 3.995, 4.007, 3.999, 3.998, 3.993, 4.014, 3.996, 4.015, 4.008, 4.002, 3.995, 3.983, 4.001, 4.001, 4.008, 3.991 ``` **Frequency Distribution Table:** ``` Complete the frequency distribution below. Length (in.) Frequency 3.970 - 3.979 [ ] 3.980 - 3.989 [ ] 3.990 - 3.999 [ ] 4.000 - 4.009 [ ] 4.010 - 4.019 [ ] ``` **Step-by-Step Explanation:** 1. **Determine Class Intervals:** - Start from 3.970 inches. - Add class width 0.010 inches to each subsequent class: - First class: 3.970 - 3.979 - Second class: 3.980 - 3.989 - Third class: 3.990 - 3.999 - Fourth class: 4.000 - 4.009 - Fifth class: 4.010 - 4.019 2. **Tally the Data:** - Count the number of screw lengths that fall within each class interval. - Enter these counts in the frequency column. **Graphical Representation:** Normally, a histogram or bar graph would be created to visually represent the frequency distribution. Each bar would represent a
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