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Construct a group frequency distribution table for   me 10 classes with a nice class with it should be labeled as interval notation. Each class  class  and the lower class limit. Should all be multiple of a class limit should all be multiples of the class with in the #DATA appears to be a closed interval to label each class

To construct a grouped frequency distribution table (GFDT) for the given data set with 10 classes, let's go through the steps:

1. **Identify the Range of Data**: 
   - Find the minimum and maximum values in the data set.
   - The minimum is \(182\) and the maximum is \(372\).
   - So, the range is \(372 - 182 = 190\).

2. **Determine Class Width**:
   - We need 10 classes, so divide the range by the number of classes: 
   \[
   \text{Class Width} = \frac{190}{10} = 19
   \]
   - Rounding up for simplicity, use a class width of \(20\) (a "nice" number and multiple of 10).

3. **Construct the Classes**:
   - Starting from the minimum value \(182\), create intervals of width \(20\) each.
   - Each interval will be closed on the left and open on the right (e.g., \([182, 202)\)).

4. **Count Frequencies for Each Interval**:
   - Count how many data points fall within each interval.

Let's organize this into a table. I'll calculate and display the frequencies for each interval accordingly.I've constructed the grouped frequency distribution table for the data set, displaying it with intervals and frequencies as specified. Each class has a width of 20, following the guidelines provided.

Would you like further details or have any questions?

Here are some related questions you might find helpful:

1. How can I calculate cumulative frequencies for this table?
2. What are some common ways to visualize a frequency distribution?
3. How do I determine the relative frequency for each class?
4. How do you interpret a grouped frequency distribution table?
5. What are the advantages of using grouped data versus raw data?

**Tip:** Always ensure your class intervals are non-overlapping and cover the entire range of your data for clarity in frequency distribution tables.

Construct a grouped frequency distribution table (GFDT) for this data set. You want 10 classes with a 'nice' class width. Your classes should be labeled using interval notation. Each class contains its lower class limit, and the lower class limits should all be multiples of the class width. Since the data appears to be discrete, use a closed-interval to label each class.

Learn how to construct a grouped frequency distribution table for a data set using 10 classes and a class width of 20. This problem involves using interval notation and creating non-overlapping intervals, which is crucial in statistics for summarizing data. Suitable for high school students in Grades 10-12.

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