Question 1179347: 3.56 3.25 3.5 4.05
3.12 3.28 3.13 3.46
3.21 3.64 3.46 2.34
3.52 3.07 3.25 3.63
3.08 3.9 3.25 4.1
2.84 2.79 3.17 2.34
3.69 3.11 3.39 2.89
The goal is to construct a grouped frequency distribution table (GFDT) for this data set. The GFDT should have 10 classes with a "nice" class width. Each class should contain its lower class limit, and the lower class limits should all be multiples of the class width. This problem is to determine what the class width should be.
What is the range of this data set?
Using this value, if the goal is to have 10 classes, what is the nicest class width?
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! **1. Calculate the Range:**
* **Minimum Value:** 2.34
* **Maximum Value:** 4.10
* **Range:** Maximum - Minimum = 4.10 - 2.34 = 1.76
**2. Determine the Class Width:**
* **Number of Classes:** 10
* **Approximate Class Width:** Range / Number of Classes = 1.76 / 10 = 0.176
**3. Find a "Nice" Class Width:**
* Since the approximate class width is 0.176, we want to choose a "nice" class width that is easy to work with. Common choices include multiples of 0.1, 0.2, 0.25, 0.5, or 1.
* In this case, 0.2 is the most appropriate and "nice" class width.
* If we use 0.2 as the class width, the actual number of classes will be close to 10.
**Answers:**
* The range of the data set is 1.76.
* The nicest class width for 10 classes is 0.2.
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